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Added installation functionality and renamed the package
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#!/usr/bin/env Python3
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import os
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from .ciddorModel import *
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from .dispersionModels import *
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from .refractionModels import *
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from .refractionModels import *
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from .examples import *
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from .refractivityModels import *
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#!/usr/bin/env Python3
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import numpy as np
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from scipy import integrate
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'''
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@ Author: Joost van den Born
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@ Contact: born@astron.nl
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@ Description: This script offers a complete model of the atmospheric refraction
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and dispersion. It uses the Ciddor1996 paper to calculate the
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index of refraction for a wide range of conditions, with corresponding
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error propagation if needed.
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The actual refraction is calculated by any of the following models:
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- Plane parallel atmosphere
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- Cassini spherical homogeneous atmosphere
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- Other methods described in Corbard et al., 2019.
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'''
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class Observatory:
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def __init__(self, dT=0.2, dP=20, dH=0.02, dCO2=20, dl=0.001):
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self.dT = dT # in K
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self.dP = dP # in Pa
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self.dH = dH # relative humidity between 0 and 1
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self.dCO2 = dCO2 # in ppm
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self.dl = dl # in micron
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def n_as(self, l):
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'''
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Formula that calculate the refractive index for standard atmospheric
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conditions, i.e. 15 C, 101,325 Pa, 0% RH, 450 ppm CO2.
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It returns n_as, not (n_as - 1) * 1e8!
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'''
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_s = 1 / l
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_k0 = 238.0185 # um^-2
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_k1 = 5792105 # um^-2
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_k2 = 57.362 # um^-2
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_k3 = 167917 # um^-2
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return (_k1 / (_k0 - _s**2) + _k3 / (_k2 - _s**2)) / 1e8 + 1
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def n_axs(self, l, xc):
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'''
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Formula that calculate the refractive index for standard atmospheric
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conditions, i.e. 15 C, 101,325 Pa, 0% RH, but with xc ppm of CO2.
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It returns n_axs, not (n_axs - 1)
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'''
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_n_as = self.n_as(l)
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return ( (_n_as - 1) * (1 + 0.534e-6 * (xc - 450) ) ) + 1
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def n_ws(self, l):
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'''
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Formula that calculates the refractivity of air for standard moist conditions
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as defined by B&S (1939), i.e. 20 C, 1333 Pa
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Returns n_ws, not (n_ws - 1) * 1e8
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'''
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_s = 1 / l
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_cf = 1.022
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_w0 = 295.235 # um^-2
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_w1 = 2.6422 # um^-2
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_w2 = -0.032380 # um^-4
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_w3 = 0.004028 # um^-6
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return (_cf * (_w0 + _w1 * _s**2 + _w2 * _s**4 + _w3 * _s**6) ) / 1e8 + 1
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def f(self, p, T):
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'''
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Enhancement factor of water vapour in air
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t in degrees celsius
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p in Pascal (Pa)
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'''
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_t = T - 273.15
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_a = 1.00062
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_b = 3.14e-8 # Pa^-1
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_c = 5.6e-7 # deg C^-2
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return _a + _b * p + _c * _t**2
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def svp(self, T):
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'''
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Saturation vapour pressure in Pa.
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'''
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_A = 1.2378847e-5 # K^-2
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_B = -1.9121316e-2 # K^-2
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_C = 33.93711047
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_D = -6.3431645e3 # K^-2
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return np.exp(_A*T**2 + _B*T + _C + _D/T)
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def svp2(self, T):
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'''
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Calculation of svp from IAPWS formula, based on documentation by NIST toolbox.
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'''
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K1 = 1.16705214528e+03
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K2 = -7.24213167032e+05
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K3 = -1.70738469401e+01
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K4 = 1.20208247025e+04
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K5 = -3.23255503223e+06
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K6 = 1.49151086135e+01
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K7 = -4.82326573616e+03
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K8 = 4.05113405421e+05
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K9 = -2.38555575678e-01
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K10 = 6.50175348448e+02
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_W = T + K9 / (T - K10)
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_A = _W**2 + K1*_W + K2
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_B = K3*_W**2 + K4*_W + K5
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_C = K6*_W**2 + K7*_W + K8
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_X = -_B + np.sqrt(_B**2 - 4*_A*_C)
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return (2*_C / _X)**4 * 1e6
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def xw(self, p, T, RH):
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'''
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Molar fraction of water vapour in moist air.
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'''
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_f = self.f(p, T)
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_svp = self.svp(T)
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return _f * RH * _svp / p
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def Z(self, p, T, RH, xw=''):
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'''
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Compressibility of moist air
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'''
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_a0 = 1.58123e-6 # K Pa^-1
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_a1 = -2.9331e-8 # Pa^-1
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_a2 = 1.1043e-10 # K^-1 Pa^-1
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_b0 = 5.707e-6 # K Pa^-1
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_b1 = -2.051e-8 # Pa^-1
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_c0 = 1.9898e-4 # K Pa^-1
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_c1 = -2.376e-6 # Pa^-1
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_d = 1.83e-11 # K^2 Pa^-2
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_e = -0.765e-8 # K^2 Pa^-2
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_t = T - 273.15
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if xw == '':
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_xw = self.xw(p, T, RH)
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else:
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_xw = xw
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Z = 1 - (p/T) * (_a0 + _a1*_t + _a2*_t**2 + (_b0 + _b1*_t)*_xw + (_c0 + _c1*_t)*_xw**2) + (p/T)**2 * (_d + _e*_xw**2)
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return Z
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def rho(self, p, T, RH, xc, xw=''):
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'''
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Calculates the density of air for the given parameters.
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T in Kelvin
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p in Pascal
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RH between 0 and 1
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xc in ppm
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'''
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_Ma = 1e-3 * (28.9635 + 12.011e-6 * (xc - 400) ) # Molar mass in kg/mol of dry air containing xc ppm of CO2
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_Mw = 0.018015 # kg/mol
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_R = 8.314510 # J mol^-1 K^-1, gas constant
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if xw == '':
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_xw = self.xw(p, T, RH)
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else:
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_xw = xw
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_Z = self.Z(p, T, RH, xw=_xw)
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return ( ( p * _Ma ) / (_Z * _R * T) ) * ( 1 - _xw * (1 - _Mw/_Ma))
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def n_tph(self, l, T, p, RH, xc):
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'''
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Calculates the refraction of the atmosphere for any conditions.
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'''
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_n_a = self.n_axs(l, xc)
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_n_w = self.n_ws(l)
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_La = (_n_a**2 - 1) / (_n_a**2 + 2)
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_Lw = (_n_w**2 - 1) / (_n_w**2 + 2)
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# Calculate the density of the dry air components, using the partial pressure of the dry air, i.e. p_dry = p_atm - p_water
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_rho_a = self.rho(p=p-RH*self.svp(T), T=T, RH=0, xc=xc) # Dry air component for the actual conditions.
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_rho_axs = self.rho(p=101325, T=288.15, RH=0, xc=xc) # Dry air component at standard conditions.
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if RH == 0:
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# nan is returned for _rho_w if we put in a (partial) pressure of 0
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_rho_w = 0
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else:
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# Partial pressure of water vapour is p_water = h*svp
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_rho_w = self.rho(p=RH*self.svp(T), T=T, RH=RH, xc=xc) # Moist air component for the actual conditions.
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_rho_ws = self.rho(p=1333, T=293.15, RH=1333/self.svp(293.15), xc=xc) # Moist air component at standard conditions.
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_Ltotal = ( _rho_a / _rho_axs ) * _La + ( _rho_w / _rho_ws ) * _Lw
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# print 'Dry air component = ', (_rho_a/_rho_axs)*(_n_a-1)*1e8
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# print 'Wet component = ', ( _rho_w / _rho_ws ) * (_n_w - 1)*1e8
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# print 'Sum of components = ', (_rho_a/_rho_axs)*(_n_a-1)*1e8+( _rho_w / _rho_ws ) * (_n_w - 1)*1e8
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return np.sqrt( (1 + 2 * _Ltotal) / (1 - _Ltotal) )
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def dn_tph(self, l, T, p, RH, xc, dl=None, dT=None, dP=None, dRH=None, dCO2=None):
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'''
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Calculates the uncertainty in the refractive index, following the Ciddor model,
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by using fully propagated error analysis.
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This involves almost endless use of the chain rule and evaluation of both the moist
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air and dry air components. Note: dry air does not contain any water, i.e. H=0, x_w=0, etc.
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Parameters:
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l - Wavelength in micron (0.4 - 2.5 micron)
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T - Temperature in Kelvin
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p - Pressure in Pascals
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RH - Relative humidity (no units, don't use percentage but value 0<x<1)
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xc - CO2 density in ppm
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dl - Uncertainty in the blue wavelength
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dT - Uncertainty in the temperature, default: 0.2 K
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dP - Uncertainty in the pressure, default: 20 Pa
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dRH - Uncertainty in the relative humidity, default: 0.02
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dCO2- Uncertainty in the CO2 density, default: 20
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'''
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if dP == None:
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dP = self.dP
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if dT == None:
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dT = self.dT
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if dRH == None:
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dRH = self.dH
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if dCO2 == None:
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dCO2 = self.dCO2
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# constants
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_cf = 1.022
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_w0 = 295.235 # um^-2
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_w1 = 2.6422 # um^-2
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_w2 = -0.032380 # um^-4
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_w3 = 0.004028 # um^-6
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_k0 = 238.0185 # um^-2
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_k1 = 5792105 # um^-2
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_k2 = 57.362 # um^-2
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_k3 = 167917 # um^-2
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_A = 1.2378847e-5 # K^-2
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_B = -1.9121316e-2 # K^-2
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_C = 33.93711047
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_D = -6.3431645e3 # K^-2
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_Mw = 0.018015 # kg/mol
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_R = 8.314510 # J mol^-1 K^-1, gas constant
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_a0 = 1.58123e-6 # K Pa^-1
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_a1 = -2.9331e-8 # Pa^-1
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_a2 = 1.1043e-10 # K^-1 Pa^-1
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_b0 = 5.707e-6 # K Pa^-1
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_b1 = -2.051e-8 # Pa^-1
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_c0 = 1.9898e-4 # K Pa^-1
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_c1 = -2.376e-6 # Pa^-1
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_d = 1.83e-11 # K^2 Pa^-2
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_e = -0.765e-8 # K^2 Pa^-2
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_t = T - 273.15
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_aa = 1.00062
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_bb = 3.14e-8 # Pa^-1
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_cc = 5.6e-7 # deg C^-2
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_RH_a = 0
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_RH_w = RH
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# Calculated values
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# _rho_obs = self.rho(p, T, RH, xc)
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# _ref = refraction(lat, h, p, _rho_obs)
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# _alpha = _ref.rc * np.sin(np.deg2rad(z)) / (_ref.rc + _ref.H)
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_p_a = p - RH*self.svp(T)
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_p_w = RH*self.svp(T)
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_x_w_a = self.xw(_p_a, T, _RH_a)
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_x_w_w = self.f(_p_w, T)
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_Z_a = self.Z(p=_p_a, T=T, RH=_RH_a)
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_Z_w = self.Z(p=_p_w, T=T, RH=_RH_w, xw=_x_w_w)
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_Ma = 1e-3 * (28.9635 + 12.011e-6 * (xc - 400) ) # Molar mass in kg/mol of dry air containing xc ppm of CO2
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_p_sv = self.svp(T)
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_rho_a = self.rho(p=p-RH*self.svp(T), T=T, RH=0, xc=xc)
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_rho_axs = self.rho(p=101325, T=288.15, RH=0, xc=xc)
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if RH == 0.0:
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# nan is returned for _rho_w if we put in a (partial) pressure of 0
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_rho_w = 0
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else:
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_rho_w = self.rho(p=RH*self.svp(T), T=T, RH=RH, xc=xc)
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_rho_ws = self.rho(p=1333, T=293.15, RH=1333/self.svp(293.15), xc=xc)
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_n_a1 = self.n_axs(l, xc)
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_n_w1 = self.n_ws(l)
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_L1_a = (_n_a1**2 - 1) / (_n_a1**2 + 2) # Dry air component of L
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_L1_w = (_n_w1**2 - 1) / (_n_w1**2 + 2)
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_L1 = ( _rho_a / _rho_axs ) * _L1_a + ( _rho_w / _rho_ws ) * _L1_w # Overall L
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_n1 = np.sqrt( (1 + 2 * _L1) / (1 - _L1) )
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# Partial derivatives for derivation to l1
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_dn_wdl = _cf * 1e-8 * (-1 * _w1 * 2/l**3 - _w2 * 4/l**5 - _w3 * 6/l**7)
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_dLdn_w1 = _rho_w / _rho_ws * 6 * _n_w1 / (_n_w1**2 + 2)**2
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_dn_adl = 1e-8 * (1 + 0.534e-6 * (xc - 450)) * ( - (2 * _k1 * l ) / ((_k0 * l**2 - 1)**2) - (2 * _k3 * l) / ((_k2 * l**2 - 1)**2) )
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_dLdn_a1 = _rho_a / _rho_axs * 6 * _n_a1 / (_n_a1**2 + 2)**2
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_dndL1 = ( ( (1 + 2*_L1) / (1 - _L1)**2 ) + (2 / (1-_L1)) ) / (2 * np.sqrt( (1 + 2*_L1) / (1 - _L1) ) )
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_dndl = _dndL1 * ( _dLdn_a1 * _dn_adl + _dLdn_w1 * _dn_wdl)
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# # Partial derivatives for derivation to l2
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# Partial derivatives for derivation to T
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# Dry air parts:
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_drho_adp_a = _Ma / (_Z_a * _R * T) * (1 - _x_w_a * (1 - _Mw / _Ma))
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_dp_adp_sv = - RH
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_dp_svdT = (2*_A*T + _B - _D/(T**2)) * np.exp(_A * T**2 + _B * T + _C + _D/T )
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_drho_adTZ = - _p_a * _Ma / (_R * ( _Z_a * T)**2) * (1 - _x_w_a * (1 - _Mw / _Ma))
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_dTZdT_a = _p_a / T * (_a2 * _t**2 + _a1 * _t + _a0 + (_b1*_t + _b0) * _x_w_a + (_c0 + _c1*_t) * _x_w_a**2 ) - _p_a * (_a1 + 2*_a2*_t + _b1*_x_w_a + _c1*_x_w_a**2) - 2*(_p_a/T)**2 * (_d + _e * _x_w_a**2) + _Z_a
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_dTZdxw_a = 2*_e*_p_a**2 / T * _x_w_a - _p_a * (_b1*_t + _b0 + 2 * (_c0 + _c1*_t) * _x_w_a)
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_dxw_adf = _RH_a * _p_sv / _p_a
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_dfdT = 2*_cc*_t
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_dxw_adp_sv = self.f(_p_a, T) * _RH_a / _p_a
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_drho_adxw_a = 0 # as rho_a has not water content, i.e. rho = p*M/ZRT
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# Moist air parts:
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_drho_wdp_w = _Ma / (_Z_w * _R * T) * (1 - _x_w_w * (1 - _Mw / _Ma))
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_dp_wdp_sv = RH
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_dp_svdT = (2*_A*T + _B - _D/(T**2)) * np.exp(_A * T**2 + _B * T + _C + _D/T )
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_drho_wdTZ = - _p_w * _Ma / (_R * (_Z_w * T)**2) * (1 - _x_w_w * (1 - _Mw / _Ma))
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_dTZdT_w = _p_w / T * (_a2 * _t**2 + _a1 * _t + _a0 + (_b1*_t + _b0) * _x_w_w + (_c0 + _c1*_t) * _x_w_w**2 ) - _p_w * (_a1 + 2*_a2*_t + _b1*_x_w_w + _c1*_x_w_w**2) - 2*(_p_w/T)**2 * (_d + _e * _x_w_w**2) + _Z_w
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_dTZdxw_w = 2*_e*_p_w**2 / T * _x_w_w - _p_w * (_b1*_t + _b0 + 2 * (_c0 + _c1*_t) * _x_w_w)
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_dxw_wdf = 1
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_dfdT = 2*_cc*_t
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_dxw_wdp_sv = self.f(_p_w, T) / _p_sv
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_drho_wdxw_w = _p_w * _Ma / (_Z_w * _R * T) * (_Mw / _Ma - 1)
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_tA = _drho_adp_a * _dp_adp_sv * _dp_svdT + _drho_adTZ * (_dTZdT_a + _dTZdxw_a * (_dxw_adf * _dfdT + _dxw_adp_sv * _dp_svdT) ) + _drho_adxw_a * ( _dxw_adf * _dfdT + _dxw_adp_sv * _dp_svdT )
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_tB = _drho_wdp_w * _dp_wdp_sv * _dp_svdT + _drho_wdTZ * (_dTZdT_w + _dTZdxw_w * (_dxw_wdf * _dfdT + _dxw_wdp_sv * _dp_svdT) ) + _drho_wdxw_w * ( _dxw_wdf * _dfdT + _dxw_wdp_sv * _dp_svdT )
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_dL1drho_a = _L1_a / _rho_axs
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_dL1drho_w = _L1_w / _rho_ws
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_dndT = _tA * (_dndL1 * _dL1drho_a) + _tB * (_dndL1 * _dL1drho_w)
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# Partial derivatives for derivation to p
|
||||
# Dry air parts:
|
||||
_drho_adZ = - _p_a * _Ma / ( _Z_a**2 * _R * T) * (1 - _x_w_a * (1 - _Mw / _Ma))
|
||||
_dZdp_a = - 1 / T * (_a0 + _a1 * _t + _a2 * _t**2 + (_b0 + _b1*_t)*_x_w_a + (_c0 + _c1*_t)*_x_w_a**2 ) + 2*_p_a/(T**2) * (_d + _e * _x_w_a**2)
|
||||
_dfdp = _bb
|
||||
_dxw_adp_a = - self.f(_p_a, T) * _RH_a * _p_sv / (_p_a)**2
|
||||
|
||||
# Moist air parts
|
||||
_dZdp_w = - 1 / T * (_a0 + _a1 * _t + _a2 * _t**2 + (_b0 + _b1*_t)*_x_w_w + (_c0 + _c1*_t)*_x_w_w**2 ) + 2*_p_w/(T**2) * (_d + _e * _x_w_w**2)
|
||||
# Not necessary, since dpwdp=0
|
||||
|
||||
_pA = _drho_adp_a + _drho_adZ * _dZdp_a + _drho_adxw_a * (_dxw_adf * _dfdp + _dxw_adp_a)
|
||||
_dndP = _pA * (_dndL1 * _dL1drho_a)
|
||||
|
||||
|
||||
# Partial derivatives for derivation to H
|
||||
# Dry air parts:
|
||||
_dp_adH = - _p_sv
|
||||
_dZdxw_a = (_p_a / T)**2 * 2 * _e * _x_w_a - (_p_a / T) * ( (_b0 + _b1 * _t) + 2 * (_c0 + _c1 * _t) * _x_w_a )
|
||||
_dxw_adH = self.f(_p_a, T) * _p_sv / _p_a
|
||||
|
||||
# Moist air parts:
|
||||
_dp_wdH = _p_sv
|
||||
_dZdxw_w = (_p_w / T)**2 * 2 * _e * _x_w_w - (_p_w / T) * ( (_b0 + _b1 * _t) + 2 * (_c0 + _c1 * _t) * _x_w_w )
|
||||
_dxw_wdH = 0
|
||||
_dxw_wdp_w = 0
|
||||
_drho_wdZ = - _p_w * _Ma / ( _Z_w**2 * _R * T) * (1 - _x_w_w * (1 - _Mw / _Ma))
|
||||
|
||||
_hA = _drho_adp_a * _dp_adH + _drho_adZ * ( _dZdp_a * _dp_adH + _dZdxw_a * (_dxw_adH + _dxw_adp_a * _dp_adH + _dxw_adf * _dfdp * _dp_adH) ) + _drho_adxw_a * (_dxw_adH + _dxw_adp_a * _dp_adH + _dxw_adf * _dfdp * _dp_adH)
|
||||
_hB = _drho_wdp_w * _dp_wdH + _drho_wdZ * ( _dZdp_w * _dp_wdH + _dZdxw_w * ( _bb * _p_sv ) ) + _drho_wdxw_w * ( _bb * _p_sv )
|
||||
_dndRH = _hA * (_dndL1 * _dL1drho_a) + _hB * (_dndL1 * _dL1drho_w)
|
||||
|
||||
|
||||
# Partial derivatives for derivation to xc
|
||||
# Dry air parts:
|
||||
_drho_adMa = _p_a * (1 - _x_w_a) / (_Z_a * _R * T)
|
||||
_dL1drho_axs = - (_rho_a * _L1_a)/(_rho_axs**2)
|
||||
_drho_axsdMa = _drho_adMa
|
||||
_dL1dL_a = _rho_a / _rho_axs
|
||||
_dL_adn_a1 = 6 * _n_a1 / (_n_a1**2 + 2)**2
|
||||
|
||||
# Moist air parts:
|
||||
_drho_wdMa = _p_w * (1 - _x_w_w) / (_Z_w * _R * T)
|
||||
_dL1drho_ws = - (_rho_w * _L1_w)/(_rho_ws**2)
|
||||
_drho_wsdMa = _drho_wdMa
|
||||
|
||||
# Other parts:
|
||||
_dMadx_c = 12.011e-9
|
||||
_dn_adx_c1 = (self.n_as(l) - 1) * 0.534e-6
|
||||
|
||||
_dL1dx_c = _dL1drho_a * _drho_adMa * _dMadx_c + _dL1drho_w * _drho_wdMa * _dMadx_c + _dL1drho_axs * _drho_axsdMa * _dMadx_c + _dL1drho_ws * _drho_wsdMa * _dMadx_c + _dL1dL_a * _dL_adn_a1 * _dn_adx_c1
|
||||
_dndCO2 = _dndL1 * _dL1dx_c
|
||||
|
||||
# Final error:
|
||||
_nError = np.sqrt( (_dndl * dl)**2 + (_dndT * dT)**2 + (_dndP * dP)**2 + (_dndRH * dRH)**2 + (_dndCO2 * dCO2)**2 )
|
||||
|
||||
return _nError
|
||||
@@ -0,0 +1,179 @@
|
||||
alt sigma delta theta temp press dens a visc k.visc
|
||||
Km K N/sq.m kg/cu.m m/sec kg/m-s sq.m/s
|
||||
-2.0 1.2067E+00 1.2611E+00 1.0451 301.2 1.27783E+05 1.478E+00 347.9 18.51 1.25E-05
|
||||
-1.5 1.1522E+00 1.1912E+00 1.0338 297.9 1.20696E+05 1.411E+00 346.0 18.36 1.30E-05
|
||||
-1.0 1.0996E+00 1.1244E+00 1.0226 294.7 1.13931E+05 1.347E+00 344.1 18.21 1.35E-05
|
||||
-0.5 1.0489E+00 1.0607E+00 1.0113 291.4 1.07478E+05 1.285E+00 342.2 18.05 1.40E-05
|
||||
0.0 1.0000E+00 1.0000E+00 1.0000 288.1 1.01325E+05 1.225E+00 340.3 17.89 1.46E-05
|
||||
0.5 9.5288E-01 9.4213E-01 0.9887 284.9 9.54613E+04 1.167E+00 338.4 17.74 1.52E-05
|
||||
1.0 9.0748E-01 8.8701E-01 0.9774 281.7 8.98763E+04 1.112E+00 336.4 17.58 1.58E-05
|
||||
1.5 8.6376E-01 8.3454E-01 0.9662 278.4 8.45597E+04 1.058E+00 334.5 17.42 1.65E-05
|
||||
2.0 8.2168E-01 7.8462E-01 0.9549 275.2 7.95014E+04 1.007E+00 332.5 17.26 1.71E-05
|
||||
2.5 7.8119E-01 7.3715E-01 0.9436 271.9 7.46917E+04 9.570E-01 330.6 17.10 1.79E-05
|
||||
3.0 7.4225E-01 6.9204E-01 0.9324 268.7 7.01211E+04 9.093E-01 328.6 16.94 1.86E-05
|
||||
3.5 7.0482E-01 6.4920E-01 0.9211 265.4 6.57804E+04 8.634E-01 326.6 16.78 1.94E-05
|
||||
4.0 6.6885E-01 6.0854E-01 0.9098 262.2 6.16604E+04 8.193E-01 324.6 16.61 2.03E-05
|
||||
4.5 6.3432E-01 5.6997E-01 0.8986 258.9 5.77525E+04 7.770E-01 322.6 16.45 2.12E-05
|
||||
5.0 6.0117E-01 5.3341E-01 0.8873 255.7 5.40482E+04 7.364E-01 320.5 16.28 2.21E-05
|
||||
5.5 5.6936E-01 4.9878E-01 0.8760 252.4 5.05393E+04 6.975E-01 318.5 16.12 2.31E-05
|
||||
6.0 5.3887E-01 4.6600E-01 0.8648 249.2 4.72176E+04 6.601E-01 316.5 15.95 2.42E-05
|
||||
6.5 5.0964E-01 4.3499E-01 0.8535 245.9 4.40754E+04 6.243E-01 314.4 15.78 2.53E-05
|
||||
7.0 4.8165E-01 4.0568E-01 0.8423 242.7 4.11052E+04 5.900E-01 312.3 15.61 2.65E-05
|
||||
7.5 4.5485E-01 3.7799E-01 0.8310 239.5 3.82996E+04 5.572E-01 310.2 15.44 2.77E-05
|
||||
8.0 4.2921E-01 3.5185E-01 0.8198 236.2 3.56515E+04 5.258E-01 308.1 15.27 2.90E-05
|
||||
8.5 4.0470E-01 3.2721E-01 0.8085 233.0 3.31541E+04 4.958E-01 306.0 15.10 3.05E-05
|
||||
9.0 3.8128E-01 3.0398E-01 0.7973 229.7 3.08006E+04 4.671E-01 303.8 14.93 3.20E-05
|
||||
9.5 3.5891E-01 2.8211E-01 0.7860 226.5 2.85846E+04 4.397E-01 301.7 14.75 3.36E-05
|
||||
10.0 3.3756E-01 2.6153E-01 0.7748 223.3 2.64998E+04 4.135E-01 299.5 14.58 3.53E-05
|
||||
10.5 3.1720E-01 2.4219E-01 0.7635 220.0 2.45401E+04 3.886E-01 297.4 14.40 3.71E-05
|
||||
11.0 2.9780E-01 2.2403E-01 0.7523 216.8 2.26998E+04 3.648E-01 295.2 14.22 3.90E-05
|
||||
11.5 2.7545E-01 2.0710E-01 0.7519 216.7 2.09847E+04 3.374E-01 295.1 14.22 4.21E-05
|
||||
12.0 2.5464E-01 1.9146E-01 0.7519 216.7 1.93993E+04 3.119E-01 295.1 14.22 4.56E-05
|
||||
12.5 2.3541E-01 1.7699E-01 0.7519 216.7 1.79340E+04 2.884E-01 295.1 14.22 4.93E-05
|
||||
13.0 2.1763E-01 1.6363E-01 0.7519 216.7 1.65795E+04 2.666E-01 295.1 14.22 5.33E-05
|
||||
13.5 2.0119E-01 1.5127E-01 0.7519 216.7 1.53275E+04 2.465E-01 295.1 14.22 5.77E-05
|
||||
14.0 1.8600E-01 1.3985E-01 0.7519 216.7 1.41702E+04 2.279E-01 295.1 14.22 6.24E-05
|
||||
14.5 1.7196E-01 1.2929E-01 0.7519 216.7 1.31005E+04 2.107E-01 295.1 14.22 6.75E-05
|
||||
15.0 1.5898E-01 1.1953E-01 0.7519 216.7 1.21117E+04 1.948E-01 295.1 14.22 7.30E-05
|
||||
15.5 1.4698E-01 1.1051E-01 0.7519 216.7 1.11976E+04 1.801E-01 295.1 14.22 7.90E-05
|
||||
16.0 1.3589E-01 1.0217E-01 0.7519 216.7 1.03527E+04 1.665E-01 295.1 14.22 8.54E-05
|
||||
16.5 1.2564E-01 9.4465E-02 0.7519 216.7 9.57164E+03 1.539E-01 295.1 14.22 9.24E-05
|
||||
17.0 1.1616E-01 8.7339E-02 0.7519 216.7 8.84961E+03 1.423E-01 295.1 14.22 9.99E-05
|
||||
17.5 1.0740E-01 8.0752E-02 0.7519 216.7 8.18215E+03 1.316E-01 295.1 14.22 1.08E-04
|
||||
18.0 9.9302E-02 7.4662E-02 0.7519 216.7 7.56512E+03 1.216E-01 295.1 14.22 1.17E-04
|
||||
18.5 9.1815E-02 6.9032E-02 0.7519 216.7 6.99471E+03 1.125E-01 295.1 14.22 1.26E-04
|
||||
19.0 8.4893E-02 6.3828E-02 0.7519 216.7 6.46738E+03 1.040E-01 295.1 14.22 1.37E-04
|
||||
19.5 7.8494E-02 5.9017E-02 0.7519 216.7 5.97989E+03 9.616E-02 295.1 14.22 1.48E-04
|
||||
20.0 7.2578E-02 5.4569E-02 0.7519 216.7 5.52921E+03 8.891E-02 295.1 14.22 1.60E-04
|
||||
20.5 6.6979E-02 5.0460E-02 0.7534 217.1 5.11291E+03 8.205E-02 295.4 14.24 1.74E-04
|
||||
21.0 6.1807E-02 4.6670E-02 0.7551 217.6 4.72884E+03 7.571E-02 295.7 14.27 1.88E-04
|
||||
21.5 5.7045E-02 4.3173E-02 0.7568 218.1 4.37446E+03 6.988E-02 296.0 14.29 2.05E-04
|
||||
22.0 5.2660E-02 3.9945E-02 0.7585 218.6 4.04741E+03 6.451E-02 296.4 14.32 2.22E-04
|
||||
22.5 4.8622E-02 3.6965E-02 0.7603 219.1 3.74551E+03 5.956E-02 296.7 14.35 2.41E-04
|
||||
23.0 4.4902E-02 3.4214E-02 0.7620 219.6 3.46678E+03 5.500E-02 297.0 14.38 2.61E-04
|
||||
23.5 4.1474E-02 3.1674E-02 0.7637 220.1 3.20939E+03 5.081E-02 297.4 14.40 2.83E-04
|
||||
24.0 3.8316E-02 2.9328E-02 0.7654 220.6 2.97167E+03 4.694E-02 297.7 14.43 3.07E-04
|
||||
24.5 3.5404E-02 2.7161E-02 0.7672 221.1 2.75206E+03 4.337E-02 298.1 14.46 3.33E-04
|
||||
25.0 3.2721E-02 2.5158E-02 0.7689 221.6 2.54915E+03 4.008E-02 298.4 14.48 3.61E-04
|
||||
25.5 3.0246E-02 2.3308E-02 0.7706 222.0 2.36163E+03 3.705E-02 298.7 14.51 3.92E-04
|
||||
26.0 2.7964E-02 2.1597E-02 0.7723 222.5 2.18831E+03 3.426E-02 299.1 14.54 4.24E-04
|
||||
26.5 2.5858E-02 2.0016E-02 0.7740 223.0 2.02807E+03 3.168E-02 299.4 14.57 4.60E-04
|
||||
27.0 2.3916E-02 1.8553E-02 0.7758 223.5 1.87991E+03 2.930E-02 299.7 14.59 4.98E-04
|
||||
27.5 2.2124E-02 1.7201E-02 0.7775 224.0 1.74289E+03 2.710E-02 300.1 14.62 5.39E-04
|
||||
28.0 2.0470E-02 1.5950E-02 0.7792 224.5 1.61614E+03 2.508E-02 300.4 14.65 5.84E-04
|
||||
28.5 1.8943E-02 1.4793E-02 0.7809 225.0 1.49888E+03 2.320E-02 300.7 14.67 6.32E-04
|
||||
29.0 1.7533E-02 1.3722E-02 0.7826 225.5 1.39037E+03 2.148E-02 301.0 14.70 6.84E-04
|
||||
29.5 1.6231E-02 1.2731E-02 0.7844 226.0 1.28994E+03 1.988E-02 301.4 14.73 7.41E-04
|
||||
30.0 1.5028E-02 1.1813E-02 0.7861 226.5 1.19698E+03 1.841E-02 301.7 14.75 8.01E-04
|
||||
30.5 1.3917E-02 1.0964E-02 0.7878 227.0 1.11092E+03 1.705E-02 302.0 14.78 8.67E-04
|
||||
31.0 1.2891E-02 1.0177E-02 0.7895 227.5 1.03122E+03 1.579E-02 302.4 14.81 9.38E-04
|
||||
31.5 1.1942E-02 9.4488E-03 0.7912 228.0 9.57402E+02 1.463E-02 302.7 14.83 1.01E-03
|
||||
32.0 1.1065E-02 8.7740E-03 0.7930 228.5 8.89024E+02 1.355E-02 303.0 14.86 1.10E-03
|
||||
32.5 1.0228E-02 8.1493E-03 0.7968 229.6 8.25726E+02 1.253E-02 303.8 14.92 1.19E-03
|
||||
33.0 9.4469E-03 7.5724E-03 0.8016 231.0 7.67272E+02 1.157E-02 304.7 14.99 1.30E-03
|
||||
33.5 8.7297E-03 7.0395E-03 0.8064 232.4 7.13279E+02 1.069E-02 305.6 15.07 1.41E-03
|
||||
34.0 8.0709E-03 6.5470E-03 0.8112 233.7 6.63380E+02 9.887E-03 306.5 15.14 1.53E-03
|
||||
34.5 7.4654E-03 6.0917E-03 0.8160 235.1 6.17243E+02 9.145E-03 307.4 15.21 1.66E-03
|
||||
35.0 6.9085E-03 5.6705E-03 0.8208 236.5 5.74564E+02 8.463E-03 308.3 15.29 1.81E-03
|
||||
35.5 6.3961E-03 5.2807E-03 0.8256 237.9 5.35066E+02 7.835E-03 309.2 15.36 1.96E-03
|
||||
36.0 5.9245E-03 4.9198E-03 0.8304 239.3 4.98495E+02 7.257E-03 310.1 15.43 2.13E-03
|
||||
36.5 5.4901E-03 4.5854E-03 0.8352 240.7 4.64618E+02 6.725E-03 311.0 15.51 2.31E-03
|
||||
37.0 5.0899E-03 4.2756E-03 0.8400 242.1 4.33223E+02 6.235E-03 311.9 15.58 2.50E-03
|
||||
37.5 4.7209E-03 3.9883E-03 0.8448 243.4 4.04115E+02 5.783E-03 312.8 15.65 2.71E-03
|
||||
38.0 4.3806E-03 3.7218E-03 0.8496 244.8 3.77116E+02 5.366E-03 313.7 15.72 2.93E-03
|
||||
38.5 4.0666E-03 3.4746E-03 0.8544 246.2 3.52061E+02 4.982E-03 314.6 15.79 3.17E-03
|
||||
39.0 3.7767E-03 3.2450E-03 0.8592 247.6 3.28801E+02 4.626E-03 315.4 15.87 3.43E-03
|
||||
39.5 3.5089E-03 3.0318E-03 0.8640 249.0 3.07198E+02 4.298E-03 316.3 15.94 3.71E-03
|
||||
40.0 3.2616E-03 2.8337E-03 0.8688 250.4 2.87125E+02 3.995E-03 317.2 16.01 4.01E-03
|
||||
40.5 3.0329E-03 2.6496E-03 0.8736 251.7 2.68467E+02 3.715E-03 318.1 16.08 4.33E-03
|
||||
41.0 2.8214E-03 2.4783E-03 0.8784 253.1 2.51116E+02 3.456E-03 318.9 16.15 4.67E-03
|
||||
41.5 2.6257E-03 2.3190E-03 0.8832 254.5 2.34974E+02 3.216E-03 319.8 16.22 5.04E-03
|
||||
42.0 2.4445E-03 2.1708E-03 0.8880 255.9 2.19952E+02 2.995E-03 320.7 16.29 5.44E-03
|
||||
42.5 2.2768E-03 2.0327E-03 0.8928 257.3 2.05965E+02 2.789E-03 321.5 16.36 5.87E-03
|
||||
43.0 2.1214E-03 1.9041E-03 0.8976 258.6 1.92937E+02 2.599E-03 322.4 16.43 6.32E-03
|
||||
43.5 1.9774E-03 1.7843E-03 0.9024 260.0 1.80799E+02 2.422E-03 323.3 16.50 6.81E-03
|
||||
44.0 1.8438E-03 1.6727E-03 0.9072 261.4 1.69484E+02 2.259E-03 324.1 16.57 7.34E-03
|
||||
44.5 1.7199E-03 1.5685E-03 0.9120 262.8 1.58932E+02 2.107E-03 325.0 16.64 7.90E-03
|
||||
45.0 1.6050E-03 1.4714E-03 0.9168 264.2 1.49090E+02 1.966E-03 325.8 16.71 8.50E-03
|
||||
45.5 1.4983E-03 1.3808E-03 0.9216 265.5 1.39905E+02 1.835E-03 326.7 16.78 9.14E-03
|
||||
46.0 1.3992E-03 1.2961E-03 0.9263 266.9 1.31330E+02 1.714E-03 327.5 16.85 9.83E-03
|
||||
46.5 1.3071E-03 1.2171E-03 0.9311 268.3 1.23322E+02 1.601E-03 328.4 16.92 1.06E-02
|
||||
47.0 1.2215E-03 1.1433E-03 0.9359 269.7 1.15841E+02 1.496E-03 329.2 16.99 1.14E-02
|
||||
47.5 1.1437E-03 1.0743E-03 0.9393 270.6 1.08849E+02 1.401E-03 329.8 17.04 1.22E-02
|
||||
48.0 1.0748E-03 1.0095E-03 0.9393 270.6 1.02287E+02 1.317E-03 329.8 17.04 1.29E-02
|
||||
48.5 1.0100E-03 9.4865E-04 0.9393 270.6 9.61215E+01 1.237E-03 329.8 17.04 1.38E-02
|
||||
49.0 9.4912E-04 8.9147E-04 0.9393 270.6 9.03286E+01 1.163E-03 329.8 17.04 1.47E-02
|
||||
49.5 8.9193E-04 8.3776E-04 0.9393 270.6 8.48858E+01 1.093E-03 329.8 17.04 1.56E-02
|
||||
50.0 8.3819E-04 7.8728E-04 0.9393 270.6 7.97716E+01 1.027E-03 329.8 17.04 1.66E-02
|
||||
50.5 7.8770E-04 7.3986E-04 0.9393 270.6 7.49663E+01 9.649E-04 329.8 17.04 1.77E-02
|
||||
51.0 7.4026E-04 6.9530E-04 0.9393 270.6 7.04511E+01 9.068E-04 329.8 17.04 1.88E-02
|
||||
51.5 6.9630E-04 6.5342E-04 0.9384 270.4 6.62082E+01 8.530E-04 329.7 17.02 2.00E-02
|
||||
52.0 6.5758E-04 6.1395E-04 0.9336 269.0 6.22084E+01 8.055E-04 328.8 16.96 2.10E-02
|
||||
52.5 6.2085E-04 5.7668E-04 0.9289 267.7 5.84321E+01 7.605E-04 328.0 16.89 2.22E-02
|
||||
53.0 5.8599E-04 5.4150E-04 0.9241 266.3 5.48678E+01 7.178E-04 327.1 16.82 2.34E-02
|
||||
53.5 5.5293E-04 5.0831E-04 0.9193 264.9 5.15047E+01 6.773E-04 326.3 16.75 2.47E-02
|
||||
54.0 5.2158E-04 4.7700E-04 0.9145 263.5 4.83322E+01 6.389E-04 325.4 16.68 2.61E-02
|
||||
54.5 4.9187E-04 4.4748E-04 0.9098 262.1 4.53405E+01 6.025E-04 324.6 16.61 2.76E-02
|
||||
55.0 4.6370E-04 4.1964E-04 0.9050 260.8 4.25201E+01 5.680E-04 323.7 16.54 2.91E-02
|
||||
55.5 4.3702E-04 3.9341E-04 0.9002 259.4 3.98620E+01 5.354E-04 322.9 16.47 3.08E-02
|
||||
56.0 4.1175E-04 3.6869E-04 0.8954 258.0 3.73576E+01 5.044E-04 322.0 16.40 3.25E-02
|
||||
56.5 3.8782E-04 3.4541E-04 0.8907 256.6 3.49988E+01 4.751E-04 321.2 16.33 3.44E-02
|
||||
57.0 3.6516E-04 3.2349E-04 0.8859 255.3 3.27778E+01 4.473E-04 320.3 16.26 3.64E-02
|
||||
57.5 3.4373E-04 3.0286E-04 0.8811 253.9 3.06871E+01 4.211E-04 319.4 16.19 3.85E-02
|
||||
58.0 3.2344E-04 2.8344E-04 0.8763 252.5 2.87198E+01 3.962E-04 318.6 16.12 4.07E-02
|
||||
58.5 3.0426E-04 2.6518E-04 0.8716 251.1 2.68692E+01 3.727E-04 317.7 16.05 4.31E-02
|
||||
59.0 2.8612E-04 2.4800E-04 0.8668 249.8 2.51289E+01 3.505E-04 316.8 15.98 4.56E-02
|
||||
59.5 2.6897E-04 2.3186E-04 0.8620 248.4 2.34929E+01 3.295E-04 315.9 15.91 4.83E-02
|
||||
60.0 2.5276E-04 2.1668E-04 0.8573 247.0 2.19554E+01 3.096E-04 315.1 15.84 5.11E-02
|
||||
60.5 2.3746E-04 2.0243E-04 0.8525 245.6 2.05110E+01 2.909E-04 314.2 15.77 5.42E-02
|
||||
61.0 2.2300E-04 1.8904E-04 0.8477 244.3 1.91546E+01 2.732E-04 313.3 15.69 5.75E-02
|
||||
61.5 2.0935E-04 1.7647E-04 0.8430 242.9 1.78811E+01 2.565E-04 312.4 15.62 6.09E-02
|
||||
62.0 1.9647E-04 1.6468E-04 0.8382 241.5 1.66860E+01 2.407E-04 311.5 15.55 6.46E-02
|
||||
62.5 1.8431E-04 1.5361E-04 0.8334 240.2 1.55648E+01 2.258E-04 310.7 15.48 6.86E-02
|
||||
63.0 1.7285E-04 1.4323E-04 0.8287 238.8 1.45132E+01 2.117E-04 309.8 15.41 7.28E-02
|
||||
63.5 1.6204E-04 1.3351E-04 0.8239 237.4 1.35275E+01 1.985E-04 308.9 15.33 7.72E-02
|
||||
64.0 1.5185E-04 1.2439E-04 0.8191 236.0 1.26036E+01 1.860E-04 308.0 15.26 8.20E-02
|
||||
64.5 1.4225E-04 1.1585E-04 0.8144 234.7 1.17382E+01 1.743E-04 307.1 15.19 8.72E-02
|
||||
65.0 1.3321E-04 1.0785E-04 0.8096 233.3 1.09277E+01 1.632E-04 306.2 15.12 9.26E-02
|
||||
65.5 1.2470E-04 1.0036E-04 0.8048 231.9 1.01690E+01 1.528E-04 305.3 15.04 9.85E-02
|
||||
66.0 1.1668E-04 9.3354E-05 0.8001 230.5 9.45909E+00 1.429E-04 304.4 14.97 1.05E-01
|
||||
66.5 1.0914E-04 8.6800E-05 0.7953 229.2 8.79502E+00 1.337E-04 303.5 14.90 1.11E-01
|
||||
67.0 1.0204E-04 8.0672E-05 0.7906 227.8 8.17408E+00 1.250E-04 302.6 14.82 1.19E-01
|
||||
67.5 9.5371E-05 7.4944E-05 0.7858 226.4 7.59372E+00 1.168E-04 301.7 14.75 1.26E-01
|
||||
68.0 8.9101E-05 6.9593E-05 0.7811 225.1 7.05149E+00 1.091E-04 300.7 14.67 1.34E-01
|
||||
68.5 8.3209E-05 6.4595E-05 0.7763 223.7 6.54509E+00 1.019E-04 299.8 14.60 1.43E-01
|
||||
69.0 7.7675E-05 5.9929E-05 0.7715 222.3 6.07234E+00 9.515E-05 298.9 14.53 1.53E-01
|
||||
69.5 7.2478E-05 5.5576E-05 0.7668 221.0 5.63120E+00 8.879E-05 298.0 14.45 1.63E-01
|
||||
70.0 6.7601E-05 5.1515E-05 0.7620 219.6 5.21972E+00 8.281E-05 297.1 14.38 1.74E-01
|
||||
70.5 6.3026E-05 4.7728E-05 0.7573 218.2 4.83607E+00 7.721E-05 296.1 14.30 1.85E-01
|
||||
71.0 5.8734E-05 4.4199E-05 0.7525 216.8 4.47851E+00 7.195E-05 295.2 14.23 1.98E-01
|
||||
71.5 5.4712E-05 4.0912E-05 0.7478 215.5 4.14543E+00 6.702E-05 294.3 14.15 2.11E-01
|
||||
72.0 5.0905E-05 3.7852E-05 0.7436 214.3 3.83531E+00 6.236E-05 293.4 14.08 2.26E-01
|
||||
72.5 4.7296E-05 3.5007E-05 0.7402 213.3 3.54709E+00 5.794E-05 292.8 14.03 2.42E-01
|
||||
73.0 4.3927E-05 3.2365E-05 0.7368 212.3 3.27939E+00 5.381E-05 292.1 13.98 2.60E-01
|
||||
73.5 4.0786E-05 2.9912E-05 0.7334 211.3 3.03083E+00 4.996E-05 291.4 13.92 2.79E-01
|
||||
74.0 3.7856E-05 2.7635E-05 0.7300 210.3 2.80012E+00 4.637E-05 290.7 13.87 2.99E-01
|
||||
74.5 3.5125E-05 2.5522E-05 0.7266 209.4 2.58605E+00 4.303E-05 290.1 13.81 3.21E-01
|
||||
75.0 3.2580E-05 2.3563E-05 0.7232 208.4 2.38749E+00 3.991E-05 289.4 13.76 3.45E-01
|
||||
75.5 3.0209E-05 2.1746E-05 0.7198 207.4 2.20338E+00 3.701E-05 288.7 13.70 3.70E-01
|
||||
76.0 2.8001E-05 2.0061E-05 0.7164 206.4 2.03272E+00 3.430E-05 288.0 13.65 3.98E-01
|
||||
76.5 2.5946E-05 1.8501E-05 0.7131 205.5 1.87458E+00 3.178E-05 287.4 13.59 4.28E-01
|
||||
77.0 2.4033E-05 1.7055E-05 0.7097 204.5 1.72810E+00 2.944E-05 286.7 13.54 4.60E-01
|
||||
77.5 2.2253E-05 1.5716E-05 0.7063 203.5 1.59247E+00 2.726E-05 286.0 13.48 4.95E-01
|
||||
78.0 2.0597E-05 1.4477E-05 0.7029 202.5 1.46692E+00 2.523E-05 285.3 13.43 5.32E-01
|
||||
78.5 1.9058E-05 1.3331E-05 0.6995 201.6 1.35076E+00 2.335E-05 284.6 13.37 5.73E-01
|
||||
79.0 1.7627E-05 1.2270E-05 0.6961 200.6 1.24331E+00 2.159E-05 283.9 13.32 6.17E-01
|
||||
79.5 1.6298E-05 1.1290E-05 0.6927 199.6 1.14396E+00 1.996E-05 283.2 13.26 6.64E-01
|
||||
80.0 1.5063E-05 1.0384E-05 0.6893 198.6 1.05213E+00 1.845E-05 282.5 13.21 7.16E-01
|
||||
80.5 1.3917E-05 9.5464E-06 0.6860 197.7 9.67291E-01 1.705E-05 281.8 13.15 7.71E-01
|
||||
81.0 1.2853E-05 8.7731E-06 0.6826 196.7 8.88933E-01 1.574E-05 281.1 13.10 8.32E-01
|
||||
81.5 1.1866E-05 8.0591E-06 0.6792 195.7 8.16590E-01 1.454E-05 280.4 13.04 8.97E-01
|
||||
82.0 1.0950E-05 7.4002E-06 0.6758 194.7 7.49827E-01 1.341E-05 279.7 12.98 9.68E-01
|
||||
82.5 1.0101E-05 6.7924E-06 0.6724 193.8 6.88237E-01 1.237E-05 279.0 12.93 1.04E+00
|
||||
83.0 9.3145E-06 6.2318E-06 0.6690 192.8 6.31441E-01 1.141E-05 278.3 12.87 1.13E+00
|
||||
83.5 8.5856E-06 5.7151E-06 0.6657 191.8 5.79087E-01 1.052E-05 277.6 12.82 1.22E+00
|
||||
84.0 7.9106E-06 5.2391E-06 0.6623 190.8 5.30848E-01 9.690E-06 276.9 12.76 1.32E+00
|
||||
84.5 7.2857E-06 4.8006E-06 0.6589 189.9 4.86416E-01 8.925E-06 276.2 12.70 1.42E+00
|
||||
85.0 6.7074E-06 4.3968E-06 0.6555 188.9 4.45509E-01 8.217E-06 275.5 12.65 1.54E+00
|
||||
85.5 6.1724E-06 4.0253E-06 0.6521 187.9 4.07863E-01 7.561E-06 274.8 12.59 1.67E+00
|
||||
86.0 5.6777E-06 3.6835E-06 0.6488 186.9 3.73232E-01 6.955E-06 274.1 12.53 1.80E+00
|
||||
@@ -0,0 +1,450 @@
|
||||
#!/usr/bin/env Python3
|
||||
import numpy as np
|
||||
from scipy import integrate
|
||||
import os
|
||||
from .ciddorModel import Observatory
|
||||
'''
|
||||
@ Author: Joost van den Born
|
||||
@ Contact: born@astron.nl
|
||||
@ Description: This script offers a complete model of the atmospheric refraction
|
||||
and dispersion. It uses the Ciddor1996 paper to calculate the
|
||||
index of refraction for a wide range of conditions, with corresponding
|
||||
error propagation if needed.
|
||||
The actual refraction is calculated by any of the following models:
|
||||
- Plane parallel atmosphere
|
||||
- Cassini spherical homogeneous atmosphere
|
||||
- Other methods described in Corbard et al., 2019.
|
||||
'''
|
||||
|
||||
class dispersion(Observatory):
|
||||
def __init__(self, lat, h):
|
||||
Observatory.__init__(self)
|
||||
self.h = h # height above sea level in meters
|
||||
self.lat = lat # Latitude of the observer in degrees
|
||||
self.rc = self.set_rc() * 1000 # Radius of curvature of the earth at the observer
|
||||
|
||||
def setReducedHeight(self, P, rho):
|
||||
self.H = self.set_H(P, rho) # Reduced height of the atmosphere assuming ideal gas law
|
||||
|
||||
|
||||
def planeParallel(self, n1, n2, zenith):
|
||||
'''
|
||||
Refraction based on a flat atmosphere, easily derived from Snell's law.
|
||||
'''
|
||||
_R1 = np.arcsin(n1 * np.sin( np.deg2rad(zenith) )) - np.deg2rad(zenith)
|
||||
_R2 = np.arcsin(n2 * np.sin( np.deg2rad(zenith) )) - np.deg2rad(zenith)
|
||||
return np.degrees(_R1) - np.degrees(_R2)
|
||||
|
||||
|
||||
|
||||
def cassini(self, n1, n2, zenith, reduced_height=None):
|
||||
'''
|
||||
Refraction of spherical atmosphere, derived from geometry using Sine law
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_R1 = np.arcsin(n1 * self.rc * np.sin(np.deg2rad(zenith)) / (self.rc + H)) - np.arcsin(self.rc * np.sin(np.deg2rad(zenith)) / (self.rc + H) )
|
||||
_R2 = np.arcsin(n2 * self.rc * np.sin(np.deg2rad(zenith)) / (self.rc + H)) - np.arcsin(self.rc * np.sin(np.deg2rad(zenith)) / (self.rc + H) )
|
||||
return np.degrees(_R1) - np.degrees(_R2)
|
||||
|
||||
|
||||
|
||||
def tan5(self, n1, n2, zenith, reduced_height=None):
|
||||
'''
|
||||
Same as oriani's theorem, but including a higher order term.
|
||||
Found in Corbard et al., 2019.
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_rList = []
|
||||
for _n in [n1, n2]:
|
||||
_a = _n - 1
|
||||
_b = H / self.rc
|
||||
_R = _a * (1 - _b) * np.tan( np.deg2rad(zenith) ) - _a * (_b - _a/2) * np.tan( np.deg2rad(zenith) )**3 + 3 * _a * (_b - _a/2)**2 * np.tan( np.deg2rad(zenith) )**5
|
||||
_rList.append(np.degrees(_R))
|
||||
return _rList[0] - _rList[1]
|
||||
|
||||
|
||||
|
||||
def oriani(self, n1, n2, zenith, reduced_height=None):
|
||||
'''
|
||||
Classic refraction formula with two tan(z) terms. This does not assume any
|
||||
information about the structure of the atmosphere. Found with Oriani's theorem.
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_rList = []
|
||||
for _n in [n1, n2]:
|
||||
_a = _n - 1
|
||||
_b = H / self.rc
|
||||
_R = _a * (1 - _b) * np.tan( np.deg2rad(zenith) ) - _a * (_b - _a/2) * np.tan( np.deg2rad(zenith) )**3
|
||||
_rList.append(np.degrees(_R))
|
||||
return _rList[0] - _rList[1]
|
||||
|
||||
|
||||
|
||||
def corbard(self, n1, n2, zenith, reduced_height=None):
|
||||
'''
|
||||
Corbard et al., 2019, mention an additional formula based on the error function.
|
||||
Oriani's theorem can be derived from this equation by 'keeping only the three first
|
||||
terms of its asymptotic expansion'.
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_rList = []
|
||||
for _n in [n1, n2]:
|
||||
_a = _n - 1
|
||||
_b = H / self.rc
|
||||
_R = _a * ( (2 - _a) / (np.sqrt( 2*_b - _a )) ) * np.sin( np.deg2rad(zenith) ) * self.psi( (np.cos(np.deg2rad(zenith))) / np.sqrt(2*_b - _a) )
|
||||
_rList.append(np.degrees(_R))
|
||||
return _rList[0] - _rList[1]
|
||||
|
||||
|
||||
|
||||
def refractionIntegral(self, n1, n2, z0, R0=None, useStandardAtmosphere=True, heightData=None, rhoData=None):
|
||||
'''
|
||||
Using data that gives temperature, pressure and density as a function of height,
|
||||
the gladstone-dale relation is invoked to calculate the path of a light ray
|
||||
along the atmosphere. This is allows us to also include atmospheric activity in
|
||||
different atmosphere layers.
|
||||
Recommended use with the US Standard Atmosphere from 1976.
|
||||
USSA1976 data generated from code supplied by http://www.pdas.com/atmos.html
|
||||
The method described in eq. 3 in Auer & Standish (2000) is used for the calculation.
|
||||
'''
|
||||
if not R0:
|
||||
R0 = self.rc
|
||||
if useStandardAtmosphere:
|
||||
_datafileLocation = os.path.join(os.path.dirname(__file__), 'data/1976USSA.txt')
|
||||
_h, _, _, _, _Temp, _Press, _Dens,_,_,_ = np.genfromtxt(_datafileLocation, unpack=True, skip_header=6)
|
||||
else:
|
||||
_Dens = rhoData
|
||||
_h = heightData
|
||||
|
||||
|
||||
_rList = []
|
||||
z0 = np.deg2rad(z0)
|
||||
|
||||
# Integration of the refraction integral over the atmosphere layers.
|
||||
for _n in [n1, n2]:
|
||||
_Dens = np.asarray(_Dens)
|
||||
_h = np.asarray(_h)
|
||||
_R = R0 + _h * 1000
|
||||
|
||||
# Gladstone-Dale relation between refractive index and density
|
||||
_n_h = 1 + (_n - 1) / _Dens[0] * _Dens
|
||||
|
||||
# Calculation of the zenith angle for given height and refractive index, from the refractive invariant
|
||||
_z = np.arcsin( (_n * R0) / (_n_h * _R) * np.sin(z0) )
|
||||
|
||||
# Calculation of log space derivative of n and r
|
||||
_lnn = np.log(_n_h)
|
||||
_lnr = np.log(_R)
|
||||
_dlnn = np.asarray([_lnn[i+1] - _lnn[i] for i in range(len(_lnn)-1)])
|
||||
_dlnr = np.asarray([_lnr[i+1] - _lnr[i] for i in range(len(_lnr)-1)])
|
||||
_dz = np.asarray([(_z[i] - _z[i+1]) for i in range(len(_z)-1)])
|
||||
|
||||
# Calculation of the integrand in eq. 3 in Auer & Standish
|
||||
_Integrand = -1*(_dlnn/_dlnr) / (1 + _dlnn/_dlnr) * _dz
|
||||
_rList.append(np.degrees(np.sum(_Integrand)))
|
||||
return _rList[0] - _rList[1]
|
||||
|
||||
|
||||
|
||||
def psi(self, x):
|
||||
_f = lambda a: np.exp(-a**2)
|
||||
_int = integrate.quad(_f, x, np.inf)
|
||||
return np.exp(x**2) * _int[0]
|
||||
|
||||
|
||||
def set_rc(self):
|
||||
'''
|
||||
Returns the radius of the curvature at the observer in km,
|
||||
taking into account the latitude of the observer and the corresponding
|
||||
ellipsoidality of the earth.
|
||||
'''
|
||||
_A = 6378.137 # km
|
||||
_B = 6356.752 # km
|
||||
_phi = np.deg2rad(self.lat)
|
||||
|
||||
_rc0 = (_A*_B)**2 / (_A**2 * np.cos(_phi)**2 + _B**2 * np.sin(_phi)**2)**(3/2)
|
||||
return _rc0 + self.h/1000
|
||||
|
||||
|
||||
def set_H(self, P, rho):
|
||||
'''
|
||||
Calculates the reduced height of the atmosphere, assuming ideal gas law.
|
||||
'''
|
||||
_phi = np.deg2rad(self.lat)
|
||||
_c1 = 5.2790414e-3
|
||||
_c2 = 2.32718e-5
|
||||
_c3 = 1.262e-7
|
||||
_c4 = 7e-10
|
||||
_g0 = 9.780327 # m/s^2
|
||||
_g0_local = _g0 * (1 + _c1 * np.sin(_phi)**2 + _c2 * np.sin(_phi)**4 + _c3 * np.sin(_phi)**6 + _c4 * np.sin(_phi)**8)
|
||||
_g = _g0_local - (3.0877e-6 - 4.3e-9 * np.sin(_phi)**2) * self.h + 7.2e-13 * self.h**2
|
||||
return P / (rho * _g)
|
||||
|
||||
def H_isotherm(self, T):
|
||||
'''
|
||||
Calculates the reduced height of the atmosphere, assuming an isotherm distribution.
|
||||
'''
|
||||
_kb = 1.38064852e-23 # kg m2 s-2 K-1
|
||||
_m = 4.809651698e-26 # kg (weight per molecule of air, assuming dry air)
|
||||
|
||||
_phi = np.deg2rad(self.lat)
|
||||
_c1 = 5.2790414e-3
|
||||
_c2 = 2.32718e-5
|
||||
_c3 = 1.262e-7
|
||||
_c4 = 7e-10
|
||||
_g0 = 9.780327 # m/s^2
|
||||
_g0_local = _g0 * (1 + _c1 * np.sin(_phi)**2 + _c2 * np.sin(_phi)**4 + _c3 * np.sin(_phi)**6 + _c4 * np.sin(_phi)**8)
|
||||
|
||||
return (_kb*T) / (_m * _g0_local)
|
||||
|
||||
def cassiniError(self, z, l1, l2, T, p, RH, xc, dl1=0, dl2=0, dT=0.2, dP=20, dRH=0.02, dCO2=20, dz=0, lat=None, h=None):
|
||||
'''
|
||||
Calculates the uncertainty in the atmospheric dispersion, following the Cassini model,
|
||||
by using fully propagated error analysis.
|
||||
This involves almost endless use of the chain rule and evaluation of both the moist
|
||||
air and dry air components. Note: dry air does not contain any water, i.e. H=0, x_w=0, etc.
|
||||
|
||||
Not taken into account is the errror propagation in the scale height of the atmosphere or
|
||||
the zenith error, from my results this should give a small or even negligible difference.
|
||||
|
||||
Parameters:
|
||||
z - Zenith angle in degrees
|
||||
l1 - Bluest wavelength in micron (0.4 - 2.5 micron)
|
||||
l2 - Reddest wavelength in micron (0.4 - 2.5 micron)
|
||||
T - Temperature in Kelvin
|
||||
p - Pressure in Pascals
|
||||
RH - Relative humidity (no units, don't use percentage but value 0<x<1)
|
||||
xc - CO2 density in ppm
|
||||
dl1 - Uncertainty in the blue wavelength
|
||||
dl2 - Uncertainty in the red wavelength
|
||||
dT - Uncertainty in the temperature, default: 0.2 K
|
||||
dP - Uncertainty in the pressure, default: 20 Pa
|
||||
dRH - Uncertainty in the relative humidity, default: 0.02
|
||||
dCO2- Uncertainty in the CO2 density, default: 20
|
||||
lat - [Optional] Latitude of the observatory in degrees
|
||||
h - [Optional] Height in m of the observatory
|
||||
'''
|
||||
if lat == None:
|
||||
lat = self.lat
|
||||
else:
|
||||
self.lat = lat
|
||||
if h == None:
|
||||
h = self.h
|
||||
else:
|
||||
self.h = h
|
||||
|
||||
# constants
|
||||
_cf = 1.022
|
||||
_w0 = 295.235 # um^-2
|
||||
_w1 = 2.6422 # um^-2
|
||||
_w2 = -0.032380 # um^-4
|
||||
_w3 = 0.004028 # um^-6
|
||||
|
||||
_k0 = 238.0185 # um^-2
|
||||
_k1 = 5792105 # um^-2
|
||||
_k2 = 57.362 # um^-2
|
||||
_k3 = 167917 # um^-2
|
||||
|
||||
_A = 1.2378847e-5 # K^-2
|
||||
_B = -1.9121316e-2 # K^-2
|
||||
_C = 33.93711047
|
||||
_D = -6.3431645e3 # K^-2
|
||||
|
||||
_Mw = 0.018015 # kg/mol
|
||||
_R = 8.314510 # J mol^-1 K^-1, gas constant
|
||||
|
||||
_a0 = 1.58123e-6 # K Pa^-1
|
||||
_a1 = -2.9331e-8 # Pa^-1
|
||||
_a2 = 1.1043e-10 # K^-1 Pa^-1
|
||||
_b0 = 5.707e-6 # K Pa^-1
|
||||
_b1 = -2.051e-8 # Pa^-1
|
||||
_c0 = 1.9898e-4 # K Pa^-1
|
||||
_c1 = -2.376e-6 # Pa^-1
|
||||
_d = 1.83e-11 # K^2 Pa^-2
|
||||
_e = -0.765e-8 # K^2 Pa^-2
|
||||
_t = T - 273.15
|
||||
|
||||
_aa = 1.00062
|
||||
_bb = 3.14e-8 # Pa^-1
|
||||
_cc = 5.6e-7 # deg C^-2
|
||||
|
||||
_RH_a = 0
|
||||
_RH_w = RH
|
||||
|
||||
# Calculated values
|
||||
_rho_obs = self.rho(p, T, RH, xc)
|
||||
self.rc = self.set_rc() * 1000
|
||||
self.H = self.set_H(p, _rho_obs)
|
||||
_alpha = self.rc * np.sin(np.deg2rad(z)) / (self.rc + self.H)
|
||||
_p_a = p - RH*self.svp(T)
|
||||
_p_w = RH*self.svp(T)
|
||||
_x_w_a = self.xw(_p_a, T, _RH_a)
|
||||
_x_w_w = self.f(_p_w, T)
|
||||
_Z_a = self.Z(p=_p_a, T=T, RH=_RH_a)
|
||||
_Z_w = self.Z(p=_p_w, T=T, RH=_RH_w, xw=_x_w_w)
|
||||
_Ma = 1e-3 * (28.9635 + 12.011e-6 * (xc - 400) ) # Molar mass in kg/mol of dry air containing xc ppm of CO2
|
||||
_p_sv = self.svp(T)
|
||||
_rho_a = self.rho(p=p-RH*self.svp(T), T=T, RH=0, xc=xc)
|
||||
_rho_axs = self.rho(p=101325, T=288.15, RH=0, xc=xc)
|
||||
if RH == 0.0:
|
||||
# nan is returned for _rho_w if we put in a (partial) pressure of 0
|
||||
_rho_w = 0
|
||||
else:
|
||||
_rho_w = self.rho(p=RH*self.svp(T), T=T, RH=RH, xc=xc)
|
||||
_rho_ws = self.rho(p=1333, T=293.15, RH=1333/self.svp(293.15), xc=xc)
|
||||
_n_a1 = self.n_axs(l1, xc)
|
||||
_n_w1 = self.n_ws(l1)
|
||||
_n_a2 = self.n_axs(l2, xc)
|
||||
_n_w2 = self.n_ws(l2)
|
||||
|
||||
_L1_a = (_n_a1**2 - 1) / (_n_a1**2 + 2) # Dry air component of L
|
||||
_L1_w = (_n_w1**2 - 1) / (_n_w1**2 + 2)
|
||||
_L1 = ( _rho_a / _rho_axs ) * _L1_a + ( _rho_w / _rho_ws ) * _L1_w # Overall L
|
||||
_L2_a = (_n_a2**2 - 1) / (_n_a2**2 + 2) # Dry air component of L
|
||||
_L2_w = (_n_w2**2 - 1) / (_n_w2**2 + 2)
|
||||
_L2 = ( _rho_a / _rho_axs ) * _L2_a + ( _rho_w / _rho_ws ) * _L2_w # Overall L
|
||||
|
||||
_n1 = np.sqrt( (1 + 2 * _L1) / (1 - _L1) )
|
||||
_n2 = np.sqrt( (1 + 2 * _L2) / (1 - _L2) )
|
||||
|
||||
# Partial derivatives for derivation to l1
|
||||
_dn_wdl1 = _cf * 1e-8 * (-1 * _w1 * 2/l1**3 - _w2 * 4/l1**5 - _w3 * 6/l1**7)
|
||||
_dLdn_w1 = _rho_w / _rho_ws * 6 * _n_w1 / (_n_w1**2 + 2)**2
|
||||
_dn_adl1 = 1e-8 * (1 + 0.534e-6 * (xc - 450)) * ( - (2 * _k1 * l1 ) / ((_k0 * l1**2 - 1)**2) - (2 * _k3 * l1) / ((_k2 * l1**2 - 1)**2) )
|
||||
_dLdn_a1 = _rho_a / _rho_axs * 6 * _n_a1 / (_n_a1**2 + 2)**2
|
||||
_dndL1 = ( ( (1 + 2*_L1) / (1 - _L1)**2 ) + (2 / (1-_L1)) ) / (2 * np.sqrt( (1 + 2*_L1) / (1 - _L1) ) )
|
||||
_dddn1 = _alpha / np.sqrt( 1 - _alpha**2 * _n1**2 )
|
||||
_dddl1 = _dddn1 * _dndL1 * ( _dLdn_a1 * _dn_adl1 + _dLdn_w1 * _dn_wdl1)
|
||||
|
||||
# Partial derivatives for derivation to l2
|
||||
_dn_wdl2 = _cf * 1e-8 * (-1 * _w1 * 2/l2**3 - _w2 * 4/l2**5 - _w3 * 6/l2**7)
|
||||
_dLdn_w2 = _rho_w / _rho_ws * 6 * _n_w2 / (_n_w2**2 + 2)**2
|
||||
_dn_adl2 = 1e-8 * (1 + 0.534e-6 * (xc - 450)) * ( - (2 * _k1 * l2 ) / ((_k0 * l2**2 - 1)**2) - (2 * _k3 * l2) / ((_k2 * l2**2 - 1)**2) )
|
||||
_dLdn_a2 = _rho_a / _rho_axs * 6 * _n_a2 / (_n_a2**2 + 2)**2
|
||||
_dndL2 = ( ( (1 + 2*_L2) / (1 - _L2)**2 ) + (2 / (1-_L2)) ) / (2 * np.sqrt( (1 + 2*_L2) / (1 - _L2) ) )
|
||||
_dddn2 = _alpha / np.sqrt( 1 - _alpha**2 * _n2**2 )
|
||||
_dddl2 = _dddn2 * _dndL2 * ( _dLdn_a2 * _dn_adl2 + _dLdn_w2 * _dn_wdl2)
|
||||
|
||||
|
||||
# Partial derivatives for derivation to T
|
||||
# Dry air parts:
|
||||
_drho_adp_a = _Ma / (_Z_a * _R * T) * (1 - _x_w_a * (1 - _Mw / _Ma))
|
||||
_dp_adp_sv = - RH
|
||||
_dp_svdT = (2*_A*T + _B - _D/(T**2)) * np.exp(_A * T**2 + _B * T + _C + _D/T )
|
||||
_drho_adTZ = - _p_a * _Ma / (_R * ( _Z_a * T)**2) * (1 - _x_w_a * (1 - _Mw / _Ma))
|
||||
_dTZdT_a = _p_a / T * (_a2 * _t**2 + _a1 * _t + _a0 + (_b1*_t + _b0) * _x_w_a + (_c0 + _c1*_t) * _x_w_a**2 ) - _p_a * (_a1 + 2*_a2*_t + _b1*_x_w_a + _c1*_x_w_a**2) - 2*(_p_a/T)**2 * (_d + _e * _x_w_a**2) + _Z_a
|
||||
_dTZdxw_a = 2*_e*_p_a**2 / T * _x_w_a - _p_a * (_b1*_t + _b0 + 2 * (_c0 + _c1*_t) * _x_w_a)
|
||||
_dxw_adf = _RH_a * _p_sv / _p_a
|
||||
_dfdT = 2*_cc*_t
|
||||
_dxw_adp_sv = self.f(_p_a, T) * _RH_a / _p_a
|
||||
_drho_adxw_a = 0 # as rho_a has not water content, i.e. rho = p*M/ZRT
|
||||
|
||||
|
||||
# Moist air parts:
|
||||
_drho_wdp_w = _Ma / (_Z_w * _R * T) * (1 - _x_w_w * (1 - _Mw / _Ma))
|
||||
_dp_wdp_sv = RH
|
||||
_dp_svdT = (2*_A*T + _B - _D/(T**2)) * np.exp(_A * T**2 + _B * T + _C + _D/T )
|
||||
_drho_wdTZ = - _p_w * _Ma / (_R * (_Z_w * T)**2) * (1 - _x_w_w * (1 - _Mw / _Ma))
|
||||
_dTZdT_w = _p_w / T * (_a2 * _t**2 + _a1 * _t + _a0 + (_b1*_t + _b0) * _x_w_w + (_c0 + _c1*_t) * _x_w_w**2 ) - _p_w * (_a1 + 2*_a2*_t + _b1*_x_w_w + _c1*_x_w_w**2) - 2*(_p_w/T)**2 * (_d + _e * _x_w_w**2) + _Z_w
|
||||
_dTZdxw_w = 2*_e*_p_w**2 / T * _x_w_w - _p_w * (_b1*_t + _b0 + 2 * (_c0 + _c1*_t) * _x_w_w)
|
||||
_dxw_wdf = 1 # _RH_w * _p_sv / _p_w
|
||||
_dfdT = 2*_cc*_t
|
||||
_dxw_wdp_sv = self.f(_p_w, T) / _p_sv # * _RH_w / _p_w
|
||||
_drho_wdxw_w = _p_w * _Ma / (_Z_w * _R * T) * (_Mw / _Ma - 1)
|
||||
|
||||
_tA = _drho_adp_a * _dp_adp_sv * _dp_svdT + _drho_adTZ * (_dTZdT_a + _dTZdxw_a * (_dxw_adf * _dfdT + _dxw_adp_sv * _dp_svdT) ) + _drho_adxw_a * ( _dxw_adf * _dfdT + _dxw_adp_sv * _dp_svdT )
|
||||
_tB = _drho_wdp_w * _dp_wdp_sv * _dp_svdT + _drho_wdTZ * (_dTZdT_w + _dTZdxw_w * (_dxw_wdf * _dfdT + _dxw_wdp_sv * _dp_svdT) ) + _drho_wdxw_w * ( _dxw_wdf * _dfdT + _dxw_wdp_sv * _dp_svdT )
|
||||
_dL1drho_a = _L1_a / _rho_axs
|
||||
_dL2drho_a = _L2_a / _rho_axs
|
||||
_dL1drho_w = _L1_w / _rho_ws
|
||||
_dL2drho_w = _L2_w / _rho_ws
|
||||
|
||||
_dddT = _tA * (_dddn1 * _dndL1 * _dL1drho_a - _dddn2 * _dndL2 * _dL2drho_a) + _tB * (_dddn1 * _dndL1 * _dL1drho_w - _dddn2 * _dndL2 * _dL2drho_w)
|
||||
|
||||
# Partial derivatives for derivation to p
|
||||
# Dry air parts:
|
||||
_drho_adZ = - _p_a * _Ma / ( _Z_a**2 * _R * T) * (1 - _x_w_a * (1 - _Mw / _Ma))
|
||||
_dZdp_a = - 1 / T * (_a0 + _a1 * _t + _a2 * _t**2 + (_b0 + _b1*_t)*_x_w_a + (_c0 + _c1*_t)*_x_w_a**2 ) + 2*_p_a/(T**2) * (_d + _e * _x_w_a**2)
|
||||
_dfdp = _bb
|
||||
_dxw_adp_a = - self.f(_p_a, T) * _RH_a * _p_sv / (_p_a)**2
|
||||
|
||||
# Moist air parts
|
||||
_dZdp_w = - 1 / T * (_a0 + _a1 * _t + _a2 * _t**2 + (_b0 + _b1*_t)*_x_w_w + (_c0 + _c1*_t)*_x_w_w**2 ) + 2*_p_w/(T**2) * (_d + _e * _x_w_w**2)
|
||||
# Not necessary, since dpwdp=0
|
||||
|
||||
_pA = _drho_adp_a + _drho_adZ * _dZdp_a + _drho_adxw_a * (_dxw_adf * _dfdp + _dxw_adp_a)
|
||||
_dddP = _pA * (_dddn1 * _dndL1 * _dL1drho_a - _dddn2 * _dndL2 * _dL2drho_a)
|
||||
|
||||
|
||||
# Partial derivatives for derivation to H
|
||||
# Dry air parts:
|
||||
_dp_adH = - _p_sv
|
||||
_dZdxw_a = (_p_a / T)**2 * 2 * _e * _x_w_a - (_p_a / T) * ( (_b0 + _b1 * _t) + 2 * (_c0 + _c1 * _t) * _x_w_a )
|
||||
_dxw_adH = self.f(_p_a, T) * _p_sv / _p_a
|
||||
|
||||
# Moist air parts:
|
||||
_dp_wdH = _p_sv
|
||||
_dZdxw_w = (_p_w / T)**2 * 2 * _e * _x_w_w - (_p_w / T) * ( (_b0 + _b1 * _t) + 2 * (_c0 + _c1 * _t) * _x_w_w )
|
||||
_dxw_wdH = 0
|
||||
_dxw_wdp_w = 0
|
||||
_drho_wdZ = - _p_w * _Ma / ( _Z_w**2 * _R * T) * (1 - _x_w_w * (1 - _Mw / _Ma))
|
||||
|
||||
_hA = _drho_adp_a * _dp_adH + _drho_adZ * ( _dZdp_a * _dp_adH + _dZdxw_a * (_dxw_adH + _dxw_adp_a * _dp_adH + _dxw_adf * _dfdp * _dp_adH) ) + _drho_adxw_a * (_dxw_adH + _dxw_adp_a * _dp_adH + _dxw_adf * _dfdp * _dp_adH)
|
||||
_hB = _drho_wdp_w * _dp_wdH + _drho_wdZ * ( _dZdp_w * _dp_wdH + _dZdxw_w * ( _bb * _p_sv ) ) + _drho_wdxw_w * ( _bb * _p_sv )
|
||||
_dddRH = _hA * (_dddn1 * _dndL1 * _dL1drho_a - _dddn2 * _dndL2 * _dL2drho_a) + _hB * (_dddn1 * _dndL1 * _dL1drho_w - _dddn2 * _dndL2 * _dL2drho_w)
|
||||
|
||||
|
||||
# Partial derivatives for derivation to xc
|
||||
# Dry air parts:
|
||||
_drho_adMa = _p_a * (1 - _x_w_a) / (_Z_a * _R * T)
|
||||
_dL1drho_axs = - (_rho_a * _L1_a)/(_rho_axs**2)
|
||||
_dL2drho_axs = - (_rho_a * _L2_a)/(_rho_axs**2)
|
||||
_drho_axsdMa = _drho_adMa
|
||||
_dL1dL_a = _rho_a / _rho_axs
|
||||
_dL_adn_a1 = 6 * _n_a1 / (_n_a1**2 + 2)**2
|
||||
_dL2dL_a = _dL1dL_a
|
||||
_dL_adn_a2 = 6 * _n_a2 / (_n_a2**2 + 2)**2
|
||||
|
||||
# Moist air parts:
|
||||
_drho_wdMa = _p_w * (1 - _x_w_w) / (_Z_w * _R * T)
|
||||
_dL1drho_ws = - (_rho_w * _L1_w)/(_rho_ws**2)
|
||||
_dL2drho_ws = - (_rho_w * _L2_w)/(_rho_ws**2)
|
||||
_drho_wsdMa = _drho_wdMa
|
||||
|
||||
# Other parts:
|
||||
_dMadx_c = 12.011e-9
|
||||
_dn_adx_c1 = (self.n_as(l1) - 1) * 0.534e-6
|
||||
_dn_adx_c2 = (self.n_as(l2) - 1) * 0.534e-6
|
||||
|
||||
_dL1dx_c = _dL1drho_a * _drho_adMa * _dMadx_c + _dL1drho_w * _drho_wdMa * _dMadx_c + _dL1drho_axs * _drho_axsdMa * _dMadx_c + _dL1drho_ws * _drho_wsdMa * _dMadx_c + _dL1dL_a * _dL_adn_a1 * _dn_adx_c1
|
||||
_dL2dx_c = _dL2drho_a * _drho_adMa * _dMadx_c + _dL2drho_w * _drho_wdMa * _dMadx_c + _dL2drho_axs * _drho_axsdMa * _dMadx_c + _dL2drho_ws * _drho_wsdMa * _dMadx_c + _dL2dL_a * _dL_adn_a2 * _dn_adx_c2
|
||||
_dddCO2 = _dddn1 * _dndL1 * _dL1dx_c - _dddn2 * _dndL2 * _dL2dx_c
|
||||
|
||||
|
||||
# Partial derivatives for derivation to z
|
||||
_zenith = np.deg2rad(z)
|
||||
_dz = np.deg2rad(dz)
|
||||
_R = self.rc
|
||||
_H = self.H
|
||||
_dddz = (_R * np.cos(_zenith)) / (_R + _H) * ( _n1 / np.sqrt(1-(_n1**2 * _R**2 * np.sin(_zenith)**2)/(_R + _H)**2) - _n2 / np.sqrt(1-(_n2**2 * _R**2 * np.sin(_zenith)**2)/(_R + _H)**2) )
|
||||
|
||||
# Final error:
|
||||
_dispersionError = np.sqrt( (_dddl1 * dl1)**2 + (_dddl2 * dl2)**2 + (_dddT * dT)**2 + (_dddP * dP)**2 + (_dddRH * dRH)**2 + (_dddCO2 * dCO2)**2 + (_dddz * _dz)**2)
|
||||
|
||||
return np.degrees(_dispersionError)
|
||||
@@ -0,0 +1,106 @@
|
||||
#!/usr/bin/env Python3
|
||||
from .ciddorModel import Observatory
|
||||
from .refractionModels import refraction
|
||||
from .dispersionModels import dispersion
|
||||
'''
|
||||
Author: Joost van den Born
|
||||
Some functions for quick testing.
|
||||
'''
|
||||
|
||||
|
||||
def quick_refractive_index(l, conditions='STANDARD'):
|
||||
if conditions == 'STANDARD':
|
||||
# Parameters at Cerro Armazones
|
||||
T = 288.15 # k
|
||||
P = 101325 # Pa
|
||||
H = 0.0
|
||||
xc = 450 # ppm
|
||||
lat = 0 # degrees
|
||||
h = 0 # m
|
||||
|
||||
|
||||
elif conditions == 'CERRO_ARMAZONES':
|
||||
# Parameters at Cerro Armazones
|
||||
T = 279.65 # k
|
||||
P = 71200 # Pa
|
||||
H = 0.22
|
||||
xc = 450 # ppm
|
||||
lat = -24.5983 # degrees
|
||||
h = 3064 # m
|
||||
|
||||
|
||||
# Initializing dispersion model
|
||||
at = Observatory()
|
||||
|
||||
# Calculating indices of refraction for l
|
||||
n = at.n_tph(l=l, T=T, p=P, RH=H, xc=xc)
|
||||
return n
|
||||
|
||||
def quick_refraction(l, z, conditions='STANDARD'):
|
||||
if conditions == 'STANDARD':
|
||||
# Parameters at Cerro Armazones
|
||||
T = 288.15 # k
|
||||
P = 101325 # Pa
|
||||
H = 0.0
|
||||
xc = 450 # ppm
|
||||
lat = 0 # degrees
|
||||
h = 0 # m
|
||||
|
||||
|
||||
elif conditions == 'CERRO_ARMAZONES':
|
||||
# Parameters at Cerro Armazones
|
||||
T = 279.65 # k
|
||||
P = 71200 # Pa
|
||||
H = 0.22
|
||||
xc = 450 # ppm
|
||||
lat = -24.5983 # degrees
|
||||
h = 3064 # m
|
||||
|
||||
# Initializing dispersion model
|
||||
at = Observatory()
|
||||
|
||||
# Calculating indices of refraction for l
|
||||
n = at.n_tph(l=l, T=T, p=P, RH=H, xc=xc)
|
||||
|
||||
# Density of the atmosphere (following CIPM-81/91 equations)
|
||||
rho = at.rho(p=P, T=T, RH=H, xc=xc)
|
||||
|
||||
# Initializing refraction model and setting the reduced height
|
||||
ref = refraction(lat, h)
|
||||
ref.setReducedHeight(P, rho)
|
||||
return ref.cassini(n, z)
|
||||
|
||||
def quick_dispersion(l1, l2, z, conditions='STANDARD'):
|
||||
if conditions == 'STANDARD':
|
||||
# Parameters at Cerro Armazones
|
||||
T = 288.15 # k
|
||||
P = 101325 # Pa
|
||||
H = 0.0
|
||||
xc = 450 # ppm
|
||||
lat = 0 # degrees
|
||||
h = 0 # m
|
||||
|
||||
|
||||
elif conditions == 'CERRO_ARMAZONES':
|
||||
# Parameters at Cerro Armazones
|
||||
T = 279.65 # k
|
||||
P = 71200 # Pa
|
||||
H = 0.22
|
||||
xc = 450 # ppm
|
||||
lat = -24.5983 # degrees
|
||||
h = 3064 # m
|
||||
|
||||
# Initializing dispersion model
|
||||
at = Observatory()
|
||||
|
||||
# Calculating indices of refraction for l1 and l2
|
||||
n1 = at.n_tph(l=l1, T=T, p=P, RH=H, xc=xc)
|
||||
n2 = at.n_tph(l=l2, T=T, p=P, RH=H, xc=xc)
|
||||
|
||||
# Density of the atmosphere (following CIPM-81/91 equations)
|
||||
rho = at.rho(p=P, T=T, RH=H, xc=xc)
|
||||
|
||||
# Initializing refraction model and setting the reduced height
|
||||
disp = dispersion(lat, h)
|
||||
disp.setReducedHeight(P, rho)
|
||||
return disp.cassini(n1, n2, z)
|
||||
@@ -0,0 +1,220 @@
|
||||
#!/usr/bin/env Python3
|
||||
import numpy as np
|
||||
from scipy import integrate
|
||||
import os
|
||||
from .ciddorModel import Observatory
|
||||
'''
|
||||
@ Author: Joost van den Born
|
||||
@ Contact: born@astron.nl
|
||||
@ Description: This script offers a complete model of the atmospheric refraction
|
||||
and dispersion. It uses the Ciddor1996 paper to calculate the
|
||||
index of refraction for a wide range of conditions, with corresponding
|
||||
error propagation if needed.
|
||||
The actual refraction is calculated by any of the following models:
|
||||
- Plane parallel atmosphere
|
||||
- Cassini spherical homogeneous atmosphere
|
||||
- Other methods described in Corbard et al., 2019.
|
||||
'''
|
||||
|
||||
class refraction(Observatory):
|
||||
def __init__(self, lat, h):
|
||||
Observatory.__init__(self)
|
||||
self.h = h # height above sea level in meters
|
||||
self.lat = lat # Latitude of the observer in degrees
|
||||
self.rc = self.set_rc() * 1000 # Radius of curvature of the earth at the observer
|
||||
# self.H2 = self.H_isotherm(T) # Reduced height of isotherm atmosphere
|
||||
|
||||
def setReducedHeight(self, P, rho):
|
||||
self.H = self.set_H(P, rho) # Reduced height of the atmosphere assuming ideal gas law
|
||||
|
||||
|
||||
def planeParallel(self, n, zenith):
|
||||
'''
|
||||
Refraction based on a flat atmosphere, easily derived from Snell's law.
|
||||
'''
|
||||
_R = np.arcsin(n * np.sin( np.deg2rad(zenith) )) - np.deg2rad(zenith)
|
||||
return np.degrees(_R)
|
||||
|
||||
|
||||
|
||||
def cassini(self, n1, zenith, reduced_height=None):
|
||||
'''
|
||||
Refraction of spherical atmosphere, derived from geometry using Sine law
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_R1 = np.arcsin(n1 * self.rc * np.sin(np.deg2rad(zenith)) / (self.rc + H)) - np.arcsin(self.rc * np.sin(np.deg2rad(zenith)) / (self.rc + H) )
|
||||
return np.degrees(_R1)
|
||||
|
||||
|
||||
|
||||
def tan5(self, n1, zenith, reduced_height=None):
|
||||
'''
|
||||
Same as oriani's theorem, but including a higher order term.
|
||||
Found in Corbard et al., 2019.
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_a = n1 - 1
|
||||
_b = H / self.rc
|
||||
_R = _a * (1 - _b) * np.tan( np.deg2rad(zenith) ) - _a * (_b - _a/2) * np.tan( np.deg2rad(zenith) )**3 + 3 * _a * (_b - _a/2)**2 * np.tan( np.deg2rad(zenith) )**5
|
||||
return np.degrees(_R)
|
||||
|
||||
|
||||
|
||||
def oriani(self, n1, zenith, reduced_height=None):
|
||||
'''
|
||||
Classic refraction formula with two tan(z) terms. This does not assume any
|
||||
information about the structure of the atmosphere. Found with Oriani's theorem.
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_a = n1 - 1
|
||||
_b = H / self.rc
|
||||
_R = _a * (1 - _b) * np.tan( np.deg2rad(zenith) ) - _a * (_b - _a/2) * np.tan( np.deg2rad(zenith) )**3
|
||||
return np.degrees(_R)
|
||||
|
||||
|
||||
|
||||
def corbard(self, n1, zenith, reduced_height=None):
|
||||
'''
|
||||
Corbard et al., 2019, mention an additional formula based on the error function.
|
||||
Oriani's theorem can be derived from this equation by 'keeping only the three first
|
||||
terms of its asymptotic expansion'.
|
||||
'''
|
||||
if reduced_height:
|
||||
H = reduced_height
|
||||
else:
|
||||
H = self.H
|
||||
|
||||
_a = n1 - 1
|
||||
_b = H / self.rc
|
||||
_R = _a * ( (2 - _a) / (np.sqrt( 2*_b - _a )) ) * np.sin( np.deg2rad(zenith) ) * self.psi( (np.cos(np.deg2rad(zenith))) / np.sqrt(2*_b - _a) )
|
||||
return np.degrees(_R)
|
||||
|
||||
|
||||
|
||||
def refractionIntegral(self, n0, z0, R0=None, useStandardAtmosphere=True, heightData=None, rhoData=None):
|
||||
'''
|
||||
Using data that gives temperature, pressure and density as a function of height,
|
||||
the gladstone-dale relation is invoked to calculate the path of a light ray
|
||||
along the atmosphere. This is allows us to also include atmospheric activity in
|
||||
different atmosphere layers.
|
||||
Recommended use with the US Standard Atmosphere from 1976.
|
||||
USSA1976 data generated from code supplied by http://www.pdas.com/atmos.html
|
||||
'''
|
||||
if not R0:
|
||||
R0 = self.rc
|
||||
if useStandardAtmosphere:
|
||||
_datafileLocation = os.path.join(os.path.dirname(__file__), 'data/1976USSA.txt')
|
||||
_h, _, _, _, _Temp, _Press, _Dens,_,_,_ = np.genfromtxt(_datafileLocation, unpack=True, skip_header=6)
|
||||
else:
|
||||
_Dens = rhoData
|
||||
_h = heightData
|
||||
|
||||
z0 = np.deg2rad(z0)
|
||||
_Dens = np.asarray(_Dens)
|
||||
_h = np.asarray(_h)
|
||||
_R = R0 + _h * 1000
|
||||
|
||||
# Gladstone-Dale relation between refractive index and density
|
||||
_n_h = 1 + (n0 - 1) / _Dens[0] * _Dens
|
||||
|
||||
# Calculation of the zenith angle for given height and refractive index, from the refractive invariant
|
||||
_z = np.arcsin( (n0 * R0) / (_n_h * _R) * np.sin(z0) )
|
||||
|
||||
# Calculation of log space derivative of n and r
|
||||
_lnn = np.log(_n_h)
|
||||
_lnr = np.log(_R)
|
||||
_dlnn = np.asarray([_lnn[i+1] - _lnn[i] for i in range(len(_lnn)-1)])
|
||||
_dlnr = np.asarray([_lnr[i+1] - _lnr[i] for i in range(len(_lnr)-1)])
|
||||
_dz = np.asarray([(_z[i] - _z[i+1]) for i in range(len(_z)-1)])
|
||||
|
||||
# Calculation of the integrand in eq. 3 in Auer & Standish
|
||||
_Integrand = -1*(_dlnn/_dlnr) / (1 + _dlnn/_dlnr) * _dz
|
||||
|
||||
|
||||
return np.degrees(np.sum(_Integrand))
|
||||
|
||||
|
||||
|
||||
def psi(self, x):
|
||||
_f = lambda a: np.exp(-a**2)
|
||||
_int = integrate.quad(_f, x, np.inf)
|
||||
return np.exp(x**2) * _int[0]
|
||||
|
||||
|
||||
|
||||
def set_rc(self):
|
||||
'''
|
||||
Returns the radius of the curvature at the observer in km,
|
||||
taking into account the latitude of the observer and the corresponding
|
||||
ellipsoidality of the earth.
|
||||
'''
|
||||
_A = 6378.137 # km
|
||||
_B = 6356.752 # km
|
||||
_phi = np.deg2rad(self.lat)
|
||||
|
||||
_rc0 = (_A*_B)**2 / (_A**2 * np.cos(_phi)**2 + _B**2 * np.sin(_phi)**2)**(3/2)
|
||||
return _rc0 + self.h/1000
|
||||
|
||||
|
||||
|
||||
def set_H(self, P, rho):
|
||||
'''
|
||||
Calculates the reduced height of the atmosphere, assuming ideal gas law.
|
||||
'''
|
||||
_phi = np.deg2rad(self.lat)
|
||||
_c1 = 5.2790414e-3
|
||||
_c2 = 2.32718e-5
|
||||
_c3 = 1.262e-7
|
||||
_c4 = 7e-10
|
||||
_g0 = 9.780327 # m/s^2
|
||||
_g0_local = _g0 * (1 + _c1 * np.sin(_phi)**2 + _c2 * np.sin(_phi)**4 + _c3 * np.sin(_phi)**6 + _c4 * np.sin(_phi)**8)
|
||||
_g = _g0_local - (3.0877e-6 - 4.3e-9 * np.sin(_phi)**2) * self.h + 7.2e-13 * self.h**2
|
||||
return P / (rho * _g)
|
||||
|
||||
def H_isotherm(self, T):
|
||||
'''
|
||||
Calculates the reduced height of the atmosphere, assuming an isotherm distribution.
|
||||
'''
|
||||
_kb = 1.38064852e-23 # kg m2 s-2 K-1
|
||||
_m = 4.809651698e-26 # kg (weight per molecule of air, assuming dry air)
|
||||
|
||||
_phi = np.deg2rad(self.lat)
|
||||
_c1 = 5.2790414e-3
|
||||
_c2 = 2.32718e-5
|
||||
_c3 = 1.262e-7
|
||||
_c4 = 7e-10
|
||||
_g0 = 9.780327 # m/s^2
|
||||
_g0_local = _g0 * (1 + _c1 * np.sin(_phi)**2 + _c2 * np.sin(_phi)**4 + _c3 * np.sin(_phi)**6 + _c4 * np.sin(_phi)**8)
|
||||
|
||||
return (_kb*T) / (_m * _g0_local)
|
||||
|
||||
def cassiniError(self, n, dn, zenith, dz=0, reduced_height=None):
|
||||
'''
|
||||
Calculates the uncertainty in the refraction angle in degrees.
|
||||
'''
|
||||
if reduced_height:
|
||||
_H = reduced_height
|
||||
else:
|
||||
_H = self.H
|
||||
_zenith = np.deg2rad(zenith)
|
||||
_dz = np.deg2rad(dz)
|
||||
_R = self.rc
|
||||
_dRdn = (_R * np.sin(_zenith)) / ((_R + _H) * np.sqrt(1 - ((n**2 * _R**2 * np.sin(_zenith)**2)/(_R + _H)**2)))
|
||||
|
||||
_dRdz = (_R * np.cos(_zenith)) / (_R + _H) * ( n / np.sqrt(1-(n**2 * _R**2 * np.sin(_zenith)**2)/(_R + _H)**2) - 1 / np.sqrt(1-(_R**2 * np.sin(_zenith)**2)/(_R + _H)**2) )
|
||||
|
||||
_dR = np.sqrt( (_dRdn * dn)**2 + (_dRdz * _dz)**2)
|
||||
|
||||
return np.degrees(_dR)
|
||||
@@ -0,0 +1,349 @@
|
||||
#!/usr/bin/env Python3
|
||||
import numpy as np
|
||||
|
||||
|
||||
'''
|
||||
@ Author: Joost van den Born
|
||||
@ Contact: born@astron.nl
|
||||
@ Description: A comparison of various atmospheric refraction models.
|
||||
Also these are used to calculate the difference in
|
||||
atmospheric dispersion, given a set of conditions.
|
||||
'''
|
||||
|
||||
def BarrellAndSears(l, T=288.15, p=101325, H=0):
|
||||
'''
|
||||
From Barrell & Sears, 1939
|
||||
Equation 7.7, page 52
|
||||
For atmospheric air (i.e. CO2 = 300 ppm)
|
||||
This equation is applicable for the ranges T=10-30C and p=720-800 mmHg.
|
||||
|
||||
Input:
|
||||
l - Wavelength in microns
|
||||
T - Temperature in Kelvin
|
||||
p - Atmospheric pressure in Pa
|
||||
H - fractional humidity (0=<H=<1)
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
T = K2C(T)
|
||||
P = hPA2mmHg(p/100)
|
||||
R = (0.378125 + 0.0021414 / l**2 + 0.00001793 / l**4) * (P*(1 + (1.049 - 0.0157*T) * P * 1e-6)/(1 + 0.003661*T)) - (0.0624 - 0.000680 / l**2) * H / (1 + 0.003661*T)
|
||||
n = R/1e6 + 1
|
||||
return n
|
||||
|
||||
def Ciddor(l):
|
||||
'''
|
||||
From Ciddor, 1996
|
||||
Equations 1
|
||||
At default conditions only. For more flexibility use
|
||||
Observatory.n_tph()
|
||||
|
||||
Input:
|
||||
l - Wavelength in microns
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
s = 1 / l
|
||||
R = 5792105 / (238.0185 - s**2) + 167917 / (57.362 - s**2)
|
||||
n = R/1e8 + 1
|
||||
return n
|
||||
|
||||
def Edlen1953(l):
|
||||
'''
|
||||
From Edlen, 1953
|
||||
Equation 2
|
||||
|
||||
At standard conditions only
|
||||
|
||||
Input:
|
||||
l - Wavelength in microns
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
s = 1 / l
|
||||
R = 6432.8 + 2949810 / (146 - s**2) + 25540/(41-s**2)
|
||||
n = R/1e8 + 1
|
||||
return n
|
||||
|
||||
def Edlen1966(l):
|
||||
'''
|
||||
From Edlen, 1966
|
||||
Equation 1
|
||||
|
||||
At standard conditions only
|
||||
|
||||
Input:
|
||||
l - Wavelength in microns
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
s = 1 / l
|
||||
R = 8342.13 + 2406030 / (130 - s**2) + 15997 / (38.9 - s**2)
|
||||
n = R/1e8 + 1
|
||||
return n
|
||||
|
||||
def Owens(l, T=288.15, p=101325, H=0):
|
||||
'''
|
||||
From Owens, 1967
|
||||
Equation 32
|
||||
Note that the pressure P and H are in torricelli (Torr),
|
||||
however, this is almost precisely 1 Torr = 1 mmHg
|
||||
|
||||
Input:
|
||||
l - wavelength in micron
|
||||
T - Temperature in Kelvin
|
||||
p - Atmospheric pressure in Pa
|
||||
H - Humdity (0<=H<=1)
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
P = hPA2mmHg(p/100)
|
||||
T = K2C(T)
|
||||
s = 1 / l
|
||||
R = 8342.13 + 2406030 / (130 - s**2) + 15997 / (38.9 - s**2) * (P/720.775) * ((1 + P * (0.817 - 0.0133) * 1e-6)/(1 + 0.0036610*T)) - H * (5.722 - 0.0457*s**2)
|
||||
n = R/1e8 + 1
|
||||
return n
|
||||
|
||||
def BonschPotulski(l, T=288.15, p=101325, CO2=450):
|
||||
'''
|
||||
From Bonsch & Potulski, 1998
|
||||
Equations 6, 7, 8
|
||||
|
||||
Input:
|
||||
l - Wavelength in microns
|
||||
T - Temperature in Kelvin
|
||||
p - Atmospheric pressure in Pa
|
||||
CO2 - Particles per million of CO2
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
x = CO2 / 1e6
|
||||
T = K2C(T)
|
||||
s = 1 / l
|
||||
# Rs = 8092.33 + 2333983 / (130 - s**2) + 15518 / (38.9 - s**2)
|
||||
Rs = 8091.37 + 2333983 / (130 - s**2) + 15518 / (38.9 - s**2)
|
||||
Rs = Rs / 1e8
|
||||
Rx = Rs * (1 + 0.5327 * (x - 0.0004))
|
||||
Rtp = Rx * p / 93214.60 * (1 + 1e-8 * (0.5953 - 0.009876 * T)*p) / (1 + 0.0036610 * T)
|
||||
n = Rtp + 1
|
||||
return n
|
||||
|
||||
def BirchDowns(l):
|
||||
'''
|
||||
From Birch & Downs, 1993 and 1994 (correction)
|
||||
Equations 1 and 2
|
||||
|
||||
Only at standard conditions
|
||||
|
||||
Input:
|
||||
l - wavelength in micron
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
s = 1 / l
|
||||
R = 8342.54 + 2406147 / (130 - s**2) + 15998 / (38.9-s**2)
|
||||
n = R/1e8 + 1
|
||||
return n
|
||||
|
||||
def PeckReeder(l):
|
||||
'''
|
||||
From Peck & Reeder, 1972
|
||||
Equation 3
|
||||
|
||||
Only at standard conditions
|
||||
|
||||
Input:
|
||||
l - wavelength in micron
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
s = 1 / l
|
||||
R = 8060.51 + 2480990 / (132.274 - s**2) + 17455.7 / (39.32957 - s**2)
|
||||
n = R/1e8 + 1
|
||||
return n
|
||||
|
||||
|
||||
def slalib(l, T=288.15, p=101325, H=0, h=0, lat=-24, tlr=0.0065, eps=1e-10):
|
||||
'''
|
||||
SLALIB uses the same atmospheric model as ZEMAX
|
||||
based on the works of Hohenkerk & Sinclair and Seidelmann.
|
||||
They take the B&S refraction formula as a basis.
|
||||
Requires the pySLALIB package to work.
|
||||
|
||||
Input:
|
||||
l - Wavelength in microns
|
||||
T - Temperature in Kelvin
|
||||
p - Atmospheric pressure in Pa
|
||||
H - fractional humidity (0=<H=<1)
|
||||
h - Altitude of the observer (default=0 m)
|
||||
lat - Latitude of the observer (default=-24)
|
||||
tlr - temperature lapse rate (default=0.0065)
|
||||
eps - precision at which the calculation is aborted (default=1e-10)
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
from pyslalib import slalib
|
||||
zObs = np.deg2rad(45.06563)
|
||||
p = p/100
|
||||
R = []
|
||||
if type(l) == float:
|
||||
l = [l]
|
||||
for wl in l:
|
||||
R.append(slalib.sla_refro(zObs, h, T, p, H, wl, lat, tlr, eps))
|
||||
if len(l) == 1:
|
||||
return R[0]+1
|
||||
else:
|
||||
return np.asarray(R)+1
|
||||
|
||||
|
||||
def Mathar(l, T=288.15, p=101325, H=0):
|
||||
'''
|
||||
Refractivity model by Mathar (2007), valid above 1.4 microns
|
||||
Code taken and modified from:
|
||||
https://github.com/polyanskiy/refractiveindex.info-scripts/blob/master/scripts/Mathar%202007%20-%20Air%201.3-2.5um.py
|
||||
|
||||
Input:
|
||||
l - Wavelength in microns
|
||||
T - Temperature in Kelvin
|
||||
p - Atmospheric pressure in Pa
|
||||
H - fractional humidity (0=<H=<1)
|
||||
|
||||
Returns:
|
||||
n - Refractive index of atmospheric air at the given conditions
|
||||
'''
|
||||
if l < 1.3 or l > 24:
|
||||
print('Using the Mathar model at this wavelength (l={:.3f}) is not recommended!'.format(l))
|
||||
|
||||
if l <= 2.65:
|
||||
########################################################################
|
||||
# model parameters for wavelengths between 1.3 and 2.5 microns
|
||||
cref = [ 0.200192e-3, 0.113474e-9, -0.424595e-14, 0.100957e-16, -0.293315e-20, 0.307228e-24] # cm^j
|
||||
cT = [ 0.588625e-1, -0.385766e-7, 0.888019e-10, -0.567650e-13, 0.166615e-16, -0.174845e-20] # cm^j · K
|
||||
cTT = [-3.01513, 0.406167e-3, -0.514544e-6, 0.343161e-9, -0.101189e-12, 0.106749e-16] # cm^j · K^2
|
||||
cH = [-0.103945e-7, 0.136858e-11, -0.171039e-14, 0.112908e-17, -0.329925e-21, 0.344747e-25] # cm^j · %^-1
|
||||
cHH = [ 0.573256e-12, 0.186367e-16, -0.228150e-19, 0.150947e-22, -0.441214e-26, 0.461209e-30] # cm^j · %^-2
|
||||
cp = [ 0.267085e-8, 0.135941e-14, 0.135295e-18, 0.818218e-23, -0.222957e-26, 0.249964e-30] # cm^j · Pa^-1
|
||||
cpp = [ 0.609186e-17, 0.519024e-23, -0.419477e-27, 0.434120e-30, -0.122445e-33, 0.134816e-37] # cm^j · Pa^-2
|
||||
cTH = [ 0.497859e-4, -0.661752e-8, 0.832034e-11, -0.551793e-14, 0.161899e-17, -0.169901e-21] # cm^j · K · %^-1
|
||||
cTp = [ 0.779176e-6, 0.396499e-12, 0.395114e-16, 0.233587e-20, -0.636441e-24, 0.716868e-28] # cm^j · K · Pa^-1
|
||||
cHp = [-0.206567e-15, 0.106141e-20, -0.149982e-23, 0.984046e-27, -0.288266e-30, 0.299105e-34] # cm^j · %^-1 · Pa^-1
|
||||
|
||||
sref = 1e4/2.25 # cm^−1, reference wavenumber
|
||||
Tref = 273.15+17.5 # K, reference temperature
|
||||
pref = 75000 # Pa, reference pressure
|
||||
Href = 10 #%, reference humdity in percent
|
||||
########################################################################
|
||||
|
||||
if l > 2.65 and l <= 4.275:
|
||||
########################################################################
|
||||
# model parameters for wavelengths between 2.8 and 4.2 microns
|
||||
cref = [ 0.200049e-3, 0.145221e-9, 0.250951e-12, -0.745834e-15, -0.161432e-17, 0.352780e-20] # cm^j
|
||||
cT = [ 0.588432e-1, -0.825182e-7, 0.137982e-9, 0.352420e-13, -0.730651e-15, -0.167911e-18] # cm^j · K
|
||||
cTT = [-3.13579, 0.694124e-3, -0.500604e-6, -0.116668e-8, 0.209644e-11, 0.591037e-14] # cm^j · K^2
|
||||
cH = [-0.108142e-7, 0.230102e-11, -0.154652e-14, -0.323014e-17, 0.630616e-20, 0.173880e-22] # cm^j · %^-1
|
||||
cHH = [ 0.586812e-12, 0.312198e-16, -0.197792e-19, -0.461945e-22, 0.788398e-25, 0.245580e-27] # cm^j · %^-2
|
||||
cp = [ 0.266900e-8, 0.168162e-14, 0.353075e-17, -0.963455e-20, -0.223079e-22, 0.453166e-25] # cm^j · Pa^-1
|
||||
cpp = [ 0.608860e-17, 0.461560e-22, 0.184282e-24, -0.524471e-27, -0.121299e-29, 0.246512e-32] # cm^j · Pa^-2
|
||||
cTH = [ 0.517962e-4, -0.112149e-7, 0.776507e-11, 0.172569e-13, -0.320582e-16, -0.899435e-19] # cm^j · K · %^-1
|
||||
cTp = [ 0.778638e-6, 0.446396e-12, 0.784600e-15, -0.195151e-17, -0.542083e-20, 0.103530e-22] # cm^j · K · Pa^-1
|
||||
cHp = [-0.217243e-15, 0.104747e-20, -0.523689e-23, 0.817386e-26, 0.309913e-28, -0.363491e-31] # cm^j · %^-1 · Pa^-1
|
||||
|
||||
sref = 1e4/3.4 # cm^−1, reference wavenumber
|
||||
Tref = 273.15+17.5 # K, reference temperature
|
||||
pref = 75000 # Pa, reference pressure
|
||||
Href = 10 #%, reference humdity in percent
|
||||
########################################################################
|
||||
|
||||
if l > 4.275 and l <= 6.35:
|
||||
########################################################################
|
||||
# model parameters for wavelengths between 4.35 and 5.2 microns
|
||||
cref = [ 0.200020e-3, 0.275346e-9, 0.325702e-12, -0.693603e-14, 0.285610e-17, 0.338758e-18] # cm^j
|
||||
cT = [ 0.590035e-1, -0.375764e-6, 0.134585e-9, 0.124316e-11, 0.508510e-13, -0.189245e-15] # cm^j · K
|
||||
cTT = [-4.09830, 0.250037e-2, 0.275187e-6, -0.653398e-8, -0.310589e-9, 0.127747e-11] # cm^j · K^2
|
||||
cH = [-0.140463e-7, 0.839350e-11, -0.190929e-14, -0.121399e-16, -0.898863e-18, 0.364662e-20] # cm^j · %^-1
|
||||
cHH = [ 0.543605e-12, 0.112802e-15, -0.229979e-19, -0.191450e-21, -0.120352e-22, 0.500955e-25] # cm^j · %^-2
|
||||
cp = [ 0.266898e-8, 0.273629e-14, 0.463466e-17, -0.916894e-23, 0.136685e-21, 0.413687e-23] # cm^j · Pa^-1
|
||||
cpp = [ 0.610706e-17, 0.116620e-21, 0.244736e-24, -0.497682e-26, 0.742024e-29, 0.224625e-30] # cm^j · Pa^-2
|
||||
cTH = [ 0.674488e-4, -0.406775e-7, 0.289063e-11, 0.819898e-13, 0.468386e-14, -0.191182e-16] # cm^j · K · %^-1
|
||||
cTp = [ 0.778627e-6, 0.593296e-12, 0.145042e-14, 0.489815e-17, 0.327941e-19, 0.128020e-21] # cm^j · K · Pa^-1
|
||||
cHp = [-0.211676e-15, 0.487921e-20, -0.682545e-23, 0.942802e-25, -0.946422e-27, -0.153682e-29] # cm^j · %^-1 · Pa^-1
|
||||
σref = 1e4/4.8 # cm^−1, reference wavenumber
|
||||
Tref = 273.15+17.5 # K, reference temperature
|
||||
pref = 75000 # Pa, reference pressure
|
||||
Href = 10 #%, reference humdity in percent
|
||||
########################################################################
|
||||
|
||||
if l > 6.35 and l <= 15.05:
|
||||
########################################################################
|
||||
# model parameters for wavelengths between 7.5 and 14.1 microns
|
||||
cref = [ 0.199885e-3, 0.344739e-9, -0.273714e-12, 0.393383e-15, -0.569488e-17, 0.164556e-19] # cm^j
|
||||
cT = [ 0.593900e-1, -0.172226e-5, 0.237654e-8, -0.381812e-11, 0.305050e-14, -0.157464e-16] # cm^j · K
|
||||
cTT = [-6.50355, 0.103830e-1, -0.139464e-4, 0.220077e-7, -0.272412e-10, 0.126364e-12] # cm^j · K^2
|
||||
cH = [-0.221938e-7, 0.347377e-10, -0.465991e-13, 0.735848e-16, -0.897119e-19, 0.380817e-21] # cm^j · %^-1
|
||||
cHH = [ 0.393524e-12, 0.464083e-15, -0.621764e-18, 0.981126e-21, -0.121384e-23, 0.515111e-26] # cm^j · %^-2
|
||||
cp = [ 0.266809e-8, 0.695247e-15, 0.159070e-17, -0.303451e-20, -0.661489e-22, 0.178226e-24] # cm^j · Pa^-1
|
||||
cpp = [ 0.610508e-17, 0.227694e-22, 0.786323e-25, -0.174448e-27, -0.359791e-29, 0.978307e-32] # cm^j · Pa^-2
|
||||
cTH = [ 0.106776e-3, -0.168516e-6, 0.226201e-9, -0.356457e-12, 0.437980e-15, -0.194545e-17] # cm^j · K · %^-1
|
||||
cTp = [ 0.77368e-6, 0.216404e-12, 0.581805e-15, -0.189618e-17, -0.198869e-19, 0.589381e-22] # cm^j · K · Pa^-1
|
||||
cHp = [-0.206365e-15, 0.300234e-19, -0.426519e-22, 0.684306e-25, -0.467320e-29, 0.126117e-30] # cm^j · %^-1 · Pa^-1
|
||||
σref = 1e4/10.1 # cm^−1, reference wavenumber
|
||||
Tref = 273.15+17.5 # K, reference temperature
|
||||
pref = 75000 # Pa, reference pressure
|
||||
Href = 10 #%, reference humdity in percent
|
||||
########################################################################
|
||||
|
||||
|
||||
if l > 15.05:
|
||||
########################################################################
|
||||
# model parameters for wavelengths between 16 and 24 microns
|
||||
cref = [ 0.199436e-3, 0.299123e-8, -0.214862e-10, 0.143338e-12, 0.122398e-14, -0.114628e-16] # cm^j
|
||||
# something seems to be wrong with cT...
|
||||
cT = [ 0.621723e-1, -0.177074e-4, 0.152213e-6, -0.954584-9, -0.996706e-11, 0.921476e-13] # cm^j · K
|
||||
cTT = [-23.2409, 0.108557, -0.102439e-2, 0.634072e-5, 0.762517e-7, -0.675587e-9 ] # cm^j · K^2
|
||||
cH = [-0.772707e-7, 0.347237e-9, -0.272675e-11, 0.170858e-13, 0.156889e-15, -0.150004e-17] # cm^j · %^-1
|
||||
cHH = [-0.326604e-12, 0.463606e-14, -0.364272e-16, 0.228756e-18, 0.209502e-20, -0.200547e-22] # cm^j · %^-2
|
||||
cp = [ 0.266827e-8, 0.120788e-14, 0.522646e-17, 0.783027e-19, 0.753235e-21, -0.228819e-24] # cm^j · Pa^-1
|
||||
cpp = [ 0.613675e-17, 0.585494e-22, 0.286055e-24, 0.425193e-26, 0.413455e-28, -0.812941e-32] # cm^j · Pa^-2
|
||||
cTH = [ 0.375974e-3, -0.171849e-5, 0.146704e-7, -0.917231e-10, -0.955922e-12, 0.880502e-14] # cm^j · K · %^-1
|
||||
cTp = [ 0.778436e-6, 0.461840e-12, 0.306229e-14, -0.623183e-16, -0.161119e-18, 0.800756e-20] # cm^j · K · Pa^-1
|
||||
cHp = [-0.272614e-15, 0.304662e-18, -0.239590e-20, 0.149285e-22, 0.136086e-24, -0.130999e-26] # cm^j · %^-1 · Pa^-1
|
||||
σref = 1e4/20 # cm^−1, reference wavenumber
|
||||
Tref = 273.15+17.5 # K, reference temperature
|
||||
pref = 75000 # Pa, reference pressure
|
||||
Href = 10 #%, reference humdity in percent
|
||||
########################################################################
|
||||
|
||||
s = 1e4/l # cm^-1
|
||||
n = 1
|
||||
H = H*100
|
||||
|
||||
for j in range(0, 6):
|
||||
n += ( cref[j] + cT[j]*(1/T-1/Tref) + cTT[j]*(1/T-1/Tref)**2
|
||||
+ cH[j]*(H-Href) + cHH[j]*(H-Href)**2
|
||||
+ cp[j]*(p-pref) + cpp[j]*(p-pref)**2
|
||||
+ cTH[j]*(1/T-1/Tref)*(H-Href)
|
||||
+ cTp[j]*(1/T-1/Tref)*(p-pref)
|
||||
+ cHp[j]*(H-Href)*(p-pref) ) * (s-sref)**j
|
||||
return n
|
||||
|
||||
|
||||
def K2C(K):
|
||||
'''
|
||||
Kelvin to Celsius conversion
|
||||
'''
|
||||
return K - 273.15
|
||||
|
||||
def hPA2mmHg(hPa):
|
||||
'''
|
||||
hPa to mmHg conversion
|
||||
'''
|
||||
return 0.7500616827 * hPa
|
||||
+674
@@ -0,0 +1,674 @@
|
||||
GNU GENERAL PUBLIC LICENSE
|
||||
Version 3, 29 June 2007
|
||||
|
||||
Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>
|
||||
Everyone is permitted to copy and distribute verbatim copies
|
||||
of this license document, but changing it is not allowed.
|
||||
|
||||
Preamble
|
||||
|
||||
The GNU General Public License is a free, copyleft license for
|
||||
software and other kinds of works.
|
||||
|
||||
The licenses for most software and other practical works are designed
|
||||
to take away your freedom to share and change the works. By contrast,
|
||||
the GNU General Public License is intended to guarantee your freedom to
|
||||
share and change all versions of a program--to make sure it remains free
|
||||
software for all its users. We, the Free Software Foundation, use the
|
||||
GNU General Public License for most of our software; it applies also to
|
||||
any other work released this way by its authors. You can apply it to
|
||||
your programs, too.
|
||||
|
||||
When we speak of free software, we are referring to freedom, not
|
||||
price. Our General Public Licenses are designed to make sure that you
|
||||
have the freedom to distribute copies of free software (and charge for
|
||||
them if you wish), that you receive source code or can get it if you
|
||||
want it, that you can change the software or use pieces of it in new
|
||||
free programs, and that you know you can do these things.
|
||||
|
||||
To protect your rights, we need to prevent others from denying you
|
||||
these rights or asking you to surrender the rights. Therefore, you have
|
||||
certain responsibilities if you distribute copies of the software, or if
|
||||
you modify it: responsibilities to respect the freedom of others.
|
||||
|
||||
For example, if you distribute copies of such a program, whether
|
||||
gratis or for a fee, you must pass on to the recipients the same
|
||||
freedoms that you received. You must make sure that they, too, receive
|
||||
or can get the source code. And you must show them these terms so they
|
||||
know their rights.
|
||||
|
||||
Developers that use the GNU GPL protect your rights with two steps:
|
||||
(1) assert copyright on the software, and (2) offer you this License
|
||||
giving you legal permission to copy, distribute and/or modify it.
|
||||
|
||||
For the developers' and authors' protection, the GPL clearly explains
|
||||
that there is no warranty for this free software. For both users' and
|
||||
authors' sake, the GPL requires that modified versions be marked as
|
||||
changed, so that their problems will not be attributed erroneously to
|
||||
authors of previous versions.
|
||||
|
||||
Some devices are designed to deny users access to install or run
|
||||
modified versions of the software inside them, although the manufacturer
|
||||
can do so. This is fundamentally incompatible with the aim of
|
||||
protecting users' freedom to change the software. The systematic
|
||||
pattern of such abuse occurs in the area of products for individuals to
|
||||
use, which is precisely where it is most unacceptable. Therefore, we
|
||||
have designed this version of the GPL to prohibit the practice for those
|
||||
products. If such problems arise substantially in other domains, we
|
||||
stand ready to extend this provision to those domains in future versions
|
||||
of the GPL, as needed to protect the freedom of users.
|
||||
|
||||
Finally, every program is threatened constantly by software patents.
|
||||
States should not allow patents to restrict development and use of
|
||||
software on general-purpose computers, but in those that do, we wish to
|
||||
avoid the special danger that patents applied to a free program could
|
||||
make it effectively proprietary. To prevent this, the GPL assures that
|
||||
patents cannot be used to render the program non-free.
|
||||
|
||||
The precise terms and conditions for copying, distribution and
|
||||
modification follow.
|
||||
|
||||
TERMS AND CONDITIONS
|
||||
|
||||
0. Definitions.
|
||||
|
||||
"This License" refers to version 3 of the GNU General Public License.
|
||||
|
||||
"Copyright" also means copyright-like laws that apply to other kinds of
|
||||
works, such as semiconductor masks.
|
||||
|
||||
"The Program" refers to any copyrightable work licensed under this
|
||||
License. Each licensee is addressed as "you". "Licensees" and
|
||||
"recipients" may be individuals or organizations.
|
||||
|
||||
To "modify" a work means to copy from or adapt all or part of the work
|
||||
in a fashion requiring copyright permission, other than the making of an
|
||||
exact copy. The resulting work is called a "modified version" of the
|
||||
earlier work or a work "based on" the earlier work.
|
||||
|
||||
A "covered work" means either the unmodified Program or a work based
|
||||
on the Program.
|
||||
|
||||
To "propagate" a work means to do anything with it that, without
|
||||
permission, would make you directly or secondarily liable for
|
||||
infringement under applicable copyright law, except executing it on a
|
||||
computer or modifying a private copy. Propagation includes copying,
|
||||
distribution (with or without modification), making available to the
|
||||
public, and in some countries other activities as well.
|
||||
|
||||
To "convey" a work means any kind of propagation that enables other
|
||||
parties to make or receive copies. Mere interaction with a user through
|
||||
a computer network, with no transfer of a copy, is not conveying.
|
||||
|
||||
An interactive user interface displays "Appropriate Legal Notices"
|
||||
to the extent that it includes a convenient and prominently visible
|
||||
feature that (1) displays an appropriate copyright notice, and (2)
|
||||
tells the user that there is no warranty for the work (except to the
|
||||
extent that warranties are provided), that licensees may convey the
|
||||
work under this License, and how to view a copy of this License. If
|
||||
the interface presents a list of user commands or options, such as a
|
||||
menu, a prominent item in the list meets this criterion.
|
||||
|
||||
1. Source Code.
|
||||
|
||||
The "source code" for a work means the preferred form of the work
|
||||
for making modifications to it. "Object code" means any non-source
|
||||
form of a work.
|
||||
|
||||
A "Standard Interface" means an interface that either is an official
|
||||
standard defined by a recognized standards body, or, in the case of
|
||||
interfaces specified for a particular programming language, one that
|
||||
is widely used among developers working in that language.
|
||||
|
||||
The "System Libraries" of an executable work include anything, other
|
||||
than the work as a whole, that (a) is included in the normal form of
|
||||
packaging a Major Component, but which is not part of that Major
|
||||
Component, and (b) serves only to enable use of the work with that
|
||||
Major Component, or to implement a Standard Interface for which an
|
||||
implementation is available to the public in source code form. A
|
||||
"Major Component", in this context, means a major essential component
|
||||
(kernel, window system, and so on) of the specific operating system
|
||||
(if any) on which the executable work runs, or a compiler used to
|
||||
produce the work, or an object code interpreter used to run it.
|
||||
|
||||
The "Corresponding Source" for a work in object code form means all
|
||||
the source code needed to generate, install, and (for an executable
|
||||
work) run the object code and to modify the work, including scripts to
|
||||
control those activities. However, it does not include the work's
|
||||
System Libraries, or general-purpose tools or generally available free
|
||||
programs which are used unmodified in performing those activities but
|
||||
which are not part of the work. For example, Corresponding Source
|
||||
includes interface definition files associated with source files for
|
||||
the work, and the source code for shared libraries and dynamically
|
||||
linked subprograms that the work is specifically designed to require,
|
||||
such as by intimate data communication or control flow between those
|
||||
subprograms and other parts of the work.
|
||||
|
||||
The Corresponding Source need not include anything that users
|
||||
can regenerate automatically from other parts of the Corresponding
|
||||
Source.
|
||||
|
||||
The Corresponding Source for a work in source code form is that
|
||||
same work.
|
||||
|
||||
2. Basic Permissions.
|
||||
|
||||
All rights granted under this License are granted for the term of
|
||||
copyright on the Program, and are irrevocable provided the stated
|
||||
conditions are met. This License explicitly affirms your unlimited
|
||||
permission to run the unmodified Program. The output from running a
|
||||
covered work is covered by this License only if the output, given its
|
||||
content, constitutes a covered work. This License acknowledges your
|
||||
rights of fair use or other equivalent, as provided by copyright law.
|
||||
|
||||
You may make, run and propagate covered works that you do not
|
||||
convey, without conditions so long as your license otherwise remains
|
||||
in force. You may convey covered works to others for the sole purpose
|
||||
of having them make modifications exclusively for you, or provide you
|
||||
with facilities for running those works, provided that you comply with
|
||||
the terms of this License in conveying all material for which you do
|
||||
not control copyright. Those thus making or running the covered works
|
||||
for you must do so exclusively on your behalf, under your direction
|
||||
and control, on terms that prohibit them from making any copies of
|
||||
your copyrighted material outside their relationship with you.
|
||||
|
||||
Conveying under any other circumstances is permitted solely under
|
||||
the conditions stated below. Sublicensing is not allowed; section 10
|
||||
makes it unnecessary.
|
||||
|
||||
3. Protecting Users' Legal Rights From Anti-Circumvention Law.
|
||||
|
||||
No covered work shall be deemed part of an effective technological
|
||||
measure under any applicable law fulfilling obligations under article
|
||||
11 of the WIPO copyright treaty adopted on 20 December 1996, or
|
||||
similar laws prohibiting or restricting circumvention of such
|
||||
measures.
|
||||
|
||||
When you convey a covered work, you waive any legal power to forbid
|
||||
circumvention of technological measures to the extent such circumvention
|
||||
is effected by exercising rights under this License with respect to
|
||||
the covered work, and you disclaim any intention to limit operation or
|
||||
modification of the work as a means of enforcing, against the work's
|
||||
users, your or third parties' legal rights to forbid circumvention of
|
||||
technological measures.
|
||||
|
||||
4. Conveying Verbatim Copies.
|
||||
|
||||
You may convey verbatim copies of the Program's source code as you
|
||||
receive it, in any medium, provided that you conspicuously and
|
||||
appropriately publish on each copy an appropriate copyright notice;
|
||||
keep intact all notices stating that this License and any
|
||||
non-permissive terms added in accord with section 7 apply to the code;
|
||||
keep intact all notices of the absence of any warranty; and give all
|
||||
recipients a copy of this License along with the Program.
|
||||
|
||||
You may charge any price or no price for each copy that you convey,
|
||||
and you may offer support or warranty protection for a fee.
|
||||
|
||||
5. Conveying Modified Source Versions.
|
||||
|
||||
You may convey a work based on the Program, or the modifications to
|
||||
produce it from the Program, in the form of source code under the
|
||||
terms of section 4, provided that you also meet all of these conditions:
|
||||
|
||||
a) The work must carry prominent notices stating that you modified
|
||||
it, and giving a relevant date.
|
||||
|
||||
b) The work must carry prominent notices stating that it is
|
||||
released under this License and any conditions added under section
|
||||
7. This requirement modifies the requirement in section 4 to
|
||||
"keep intact all notices".
|
||||
|
||||
c) You must license the entire work, as a whole, under this
|
||||
License to anyone who comes into possession of a copy. This
|
||||
License will therefore apply, along with any applicable section 7
|
||||
additional terms, to the whole of the work, and all its parts,
|
||||
regardless of how they are packaged. This License gives no
|
||||
permission to license the work in any other way, but it does not
|
||||
invalidate such permission if you have separately received it.
|
||||
|
||||
d) If the work has interactive user interfaces, each must display
|
||||
Appropriate Legal Notices; however, if the Program has interactive
|
||||
interfaces that do not display Appropriate Legal Notices, your
|
||||
work need not make them do so.
|
||||
|
||||
A compilation of a covered work with other separate and independent
|
||||
works, which are not by their nature extensions of the covered work,
|
||||
and which are not combined with it such as to form a larger program,
|
||||
in or on a volume of a storage or distribution medium, is called an
|
||||
"aggregate" if the compilation and its resulting copyright are not
|
||||
used to limit the access or legal rights of the compilation's users
|
||||
beyond what the individual works permit. Inclusion of a covered work
|
||||
in an aggregate does not cause this License to apply to the other
|
||||
parts of the aggregate.
|
||||
|
||||
6. Conveying Non-Source Forms.
|
||||
|
||||
You may convey a covered work in object code form under the terms
|
||||
of sections 4 and 5, provided that you also convey the
|
||||
machine-readable Corresponding Source under the terms of this License,
|
||||
in one of these ways:
|
||||
|
||||
a) Convey the object code in, or embodied in, a physical product
|
||||
(including a physical distribution medium), accompanied by the
|
||||
Corresponding Source fixed on a durable physical medium
|
||||
customarily used for software interchange.
|
||||
|
||||
b) Convey the object code in, or embodied in, a physical product
|
||||
(including a physical distribution medium), accompanied by a
|
||||
written offer, valid for at least three years and valid for as
|
||||
long as you offer spare parts or customer support for that product
|
||||
model, to give anyone who possesses the object code either (1) a
|
||||
copy of the Corresponding Source for all the software in the
|
||||
product that is covered by this License, on a durable physical
|
||||
medium customarily used for software interchange, for a price no
|
||||
more than your reasonable cost of physically performing this
|
||||
conveying of source, or (2) access to copy the
|
||||
Corresponding Source from a network server at no charge.
|
||||
|
||||
c) Convey individual copies of the object code with a copy of the
|
||||
written offer to provide the Corresponding Source. This
|
||||
alternative is allowed only occasionally and noncommercially, and
|
||||
only if you received the object code with such an offer, in accord
|
||||
with subsection 6b.
|
||||
|
||||
d) Convey the object code by offering access from a designated
|
||||
place (gratis or for a charge), and offer equivalent access to the
|
||||
Corresponding Source in the same way through the same place at no
|
||||
further charge. You need not require recipients to copy the
|
||||
Corresponding Source along with the object code. If the place to
|
||||
copy the object code is a network server, the Corresponding Source
|
||||
may be on a different server (operated by you or a third party)
|
||||
that supports equivalent copying facilities, provided you maintain
|
||||
clear directions next to the object code saying where to find the
|
||||
Corresponding Source. Regardless of what server hosts the
|
||||
Corresponding Source, you remain obligated to ensure that it is
|
||||
available for as long as needed to satisfy these requirements.
|
||||
|
||||
e) Convey the object code using peer-to-peer transmission, provided
|
||||
you inform other peers where the object code and Corresponding
|
||||
Source of the work are being offered to the general public at no
|
||||
charge under subsection 6d.
|
||||
|
||||
A separable portion of the object code, whose source code is excluded
|
||||
from the Corresponding Source as a System Library, need not be
|
||||
included in conveying the object code work.
|
||||
|
||||
A "User Product" is either (1) a "consumer product", which means any
|
||||
tangible personal property which is normally used for personal, family,
|
||||
or household purposes, or (2) anything designed or sold for incorporation
|
||||
into a dwelling. In determining whether a product is a consumer product,
|
||||
doubtful cases shall be resolved in favor of coverage. For a particular
|
||||
product received by a particular user, "normally used" refers to a
|
||||
typical or common use of that class of product, regardless of the status
|
||||
of the particular user or of the way in which the particular user
|
||||
actually uses, or expects or is expected to use, the product. A product
|
||||
is a consumer product regardless of whether the product has substantial
|
||||
commercial, industrial or non-consumer uses, unless such uses represent
|
||||
the only significant mode of use of the product.
|
||||
|
||||
"Installation Information" for a User Product means any methods,
|
||||
procedures, authorization keys, or other information required to install
|
||||
and execute modified versions of a covered work in that User Product from
|
||||
a modified version of its Corresponding Source. The information must
|
||||
suffice to ensure that the continued functioning of the modified object
|
||||
code is in no case prevented or interfered with solely because
|
||||
modification has been made.
|
||||
|
||||
If you convey an object code work under this section in, or with, or
|
||||
specifically for use in, a User Product, and the conveying occurs as
|
||||
part of a transaction in which the right of possession and use of the
|
||||
User Product is transferred to the recipient in perpetuity or for a
|
||||
fixed term (regardless of how the transaction is characterized), the
|
||||
Corresponding Source conveyed under this section must be accompanied
|
||||
by the Installation Information. But this requirement does not apply
|
||||
if neither you nor any third party retains the ability to install
|
||||
modified object code on the User Product (for example, the work has
|
||||
been installed in ROM).
|
||||
|
||||
The requirement to provide Installation Information does not include a
|
||||
requirement to continue to provide support service, warranty, or updates
|
||||
for a work that has been modified or installed by the recipient, or for
|
||||
the User Product in which it has been modified or installed. Access to a
|
||||
network may be denied when the modification itself materially and
|
||||
adversely affects the operation of the network or violates the rules and
|
||||
protocols for communication across the network.
|
||||
|
||||
Corresponding Source conveyed, and Installation Information provided,
|
||||
in accord with this section must be in a format that is publicly
|
||||
documented (and with an implementation available to the public in
|
||||
source code form), and must require no special password or key for
|
||||
unpacking, reading or copying.
|
||||
|
||||
7. Additional Terms.
|
||||
|
||||
"Additional permissions" are terms that supplement the terms of this
|
||||
License by making exceptions from one or more of its conditions.
|
||||
Additional permissions that are applicable to the entire Program shall
|
||||
be treated as though they were included in this License, to the extent
|
||||
that they are valid under applicable law. If additional permissions
|
||||
apply only to part of the Program, that part may be used separately
|
||||
under those permissions, but the entire Program remains governed by
|
||||
this License without regard to the additional permissions.
|
||||
|
||||
When you convey a copy of a covered work, you may at your option
|
||||
remove any additional permissions from that copy, or from any part of
|
||||
it. (Additional permissions may be written to require their own
|
||||
removal in certain cases when you modify the work.) You may place
|
||||
additional permissions on material, added by you to a covered work,
|
||||
for which you have or can give appropriate copyright permission.
|
||||
|
||||
Notwithstanding any other provision of this License, for material you
|
||||
add to a covered work, you may (if authorized by the copyright holders of
|
||||
that material) supplement the terms of this License with terms:
|
||||
|
||||
a) Disclaiming warranty or limiting liability differently from the
|
||||
terms of sections 15 and 16 of this License; or
|
||||
|
||||
b) Requiring preservation of specified reasonable legal notices or
|
||||
author attributions in that material or in the Appropriate Legal
|
||||
Notices displayed by works containing it; or
|
||||
|
||||
c) Prohibiting misrepresentation of the origin of that material, or
|
||||
requiring that modified versions of such material be marked in
|
||||
reasonable ways as different from the original version; or
|
||||
|
||||
d) Limiting the use for publicity purposes of names of licensors or
|
||||
authors of the material; or
|
||||
|
||||
e) Declining to grant rights under trademark law for use of some
|
||||
trade names, trademarks, or service marks; or
|
||||
|
||||
f) Requiring indemnification of licensors and authors of that
|
||||
material by anyone who conveys the material (or modified versions of
|
||||
it) with contractual assumptions of liability to the recipient, for
|
||||
any liability that these contractual assumptions directly impose on
|
||||
those licensors and authors.
|
||||
|
||||
All other non-permissive additional terms are considered "further
|
||||
restrictions" within the meaning of section 10. If the Program as you
|
||||
received it, or any part of it, contains a notice stating that it is
|
||||
governed by this License along with a term that is a further
|
||||
restriction, you may remove that term. If a license document contains
|
||||
a further restriction but permits relicensing or conveying under this
|
||||
License, you may add to a covered work material governed by the terms
|
||||
of that license document, provided that the further restriction does
|
||||
not survive such relicensing or conveying.
|
||||
|
||||
If you add terms to a covered work in accord with this section, you
|
||||
must place, in the relevant source files, a statement of the
|
||||
additional terms that apply to those files, or a notice indicating
|
||||
where to find the applicable terms.
|
||||
|
||||
Additional terms, permissive or non-permissive, may be stated in the
|
||||
form of a separately written license, or stated as exceptions;
|
||||
the above requirements apply either way.
|
||||
|
||||
8. Termination.
|
||||
|
||||
You may not propagate or modify a covered work except as expressly
|
||||
provided under this License. Any attempt otherwise to propagate or
|
||||
modify it is void, and will automatically terminate your rights under
|
||||
this License (including any patent licenses granted under the third
|
||||
paragraph of section 11).
|
||||
|
||||
However, if you cease all violation of this License, then your
|
||||
license from a particular copyright holder is reinstated (a)
|
||||
provisionally, unless and until the copyright holder explicitly and
|
||||
finally terminates your license, and (b) permanently, if the copyright
|
||||
holder fails to notify you of the violation by some reasonable means
|
||||
prior to 60 days after the cessation.
|
||||
|
||||
Moreover, your license from a particular copyright holder is
|
||||
reinstated permanently if the copyright holder notifies you of the
|
||||
violation by some reasonable means, this is the first time you have
|
||||
received notice of violation of this License (for any work) from that
|
||||
copyright holder, and you cure the violation prior to 30 days after
|
||||
your receipt of the notice.
|
||||
|
||||
Termination of your rights under this section does not terminate the
|
||||
licenses of parties who have received copies or rights from you under
|
||||
this License. If your rights have been terminated and not permanently
|
||||
reinstated, you do not qualify to receive new licenses for the same
|
||||
material under section 10.
|
||||
|
||||
9. Acceptance Not Required for Having Copies.
|
||||
|
||||
You are not required to accept this License in order to receive or
|
||||
run a copy of the Program. Ancillary propagation of a covered work
|
||||
occurring solely as a consequence of using peer-to-peer transmission
|
||||
to receive a copy likewise does not require acceptance. However,
|
||||
nothing other than this License grants you permission to propagate or
|
||||
modify any covered work. These actions infringe copyright if you do
|
||||
not accept this License. Therefore, by modifying or propagating a
|
||||
covered work, you indicate your acceptance of this License to do so.
|
||||
|
||||
10. Automatic Licensing of Downstream Recipients.
|
||||
|
||||
Each time you convey a covered work, the recipient automatically
|
||||
receives a license from the original licensors, to run, modify and
|
||||
propagate that work, subject to this License. You are not responsible
|
||||
for enforcing compliance by third parties with this License.
|
||||
|
||||
An "entity transaction" is a transaction transferring control of an
|
||||
organization, or substantially all assets of one, or subdividing an
|
||||
organization, or merging organizations. If propagation of a covered
|
||||
work results from an entity transaction, each party to that
|
||||
transaction who receives a copy of the work also receives whatever
|
||||
licenses to the work the party's predecessor in interest had or could
|
||||
give under the previous paragraph, plus a right to possession of the
|
||||
Corresponding Source of the work from the predecessor in interest, if
|
||||
the predecessor has it or can get it with reasonable efforts.
|
||||
|
||||
You may not impose any further restrictions on the exercise of the
|
||||
rights granted or affirmed under this License. For example, you may
|
||||
not impose a license fee, royalty, or other charge for exercise of
|
||||
rights granted under this License, and you may not initiate litigation
|
||||
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
||||
any patent claim is infringed by making, using, selling, offering for
|
||||
sale, or importing the Program or any portion of it.
|
||||
|
||||
11. Patents.
|
||||
|
||||
A "contributor" is a copyright holder who authorizes use under this
|
||||
License of the Program or a work on which the Program is based. The
|
||||
work thus licensed is called the contributor's "contributor version".
|
||||
|
||||
A contributor's "essential patent claims" are all patent claims
|
||||
owned or controlled by the contributor, whether already acquired or
|
||||
hereafter acquired, that would be infringed by some manner, permitted
|
||||
by this License, of making, using, or selling its contributor version,
|
||||
but do not include claims that would be infringed only as a
|
||||
consequence of further modification of the contributor version. For
|
||||
purposes of this definition, "control" includes the right to grant
|
||||
patent sublicenses in a manner consistent with the requirements of
|
||||
this License.
|
||||
|
||||
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
||||
patent license under the contributor's essential patent claims, to
|
||||
make, use, sell, offer for sale, import and otherwise run, modify and
|
||||
propagate the contents of its contributor version.
|
||||
|
||||
In the following three paragraphs, a "patent license" is any express
|
||||
agreement or commitment, however denominated, not to enforce a patent
|
||||
(such as an express permission to practice a patent or covenant not to
|
||||
sue for patent infringement). To "grant" such a patent license to a
|
||||
party means to make such an agreement or commitment not to enforce a
|
||||
patent against the party.
|
||||
|
||||
If you convey a covered work, knowingly relying on a patent license,
|
||||
and the Corresponding Source of the work is not available for anyone
|
||||
to copy, free of charge and under the terms of this License, through a
|
||||
publicly available network server or other readily accessible means,
|
||||
then you must either (1) cause the Corresponding Source to be so
|
||||
available, or (2) arrange to deprive yourself of the benefit of the
|
||||
patent license for this particular work, or (3) arrange, in a manner
|
||||
consistent with the requirements of this License, to extend the patent
|
||||
license to downstream recipients. "Knowingly relying" means you have
|
||||
actual knowledge that, but for the patent license, your conveying the
|
||||
covered work in a country, or your recipient's use of the covered work
|
||||
in a country, would infringe one or more identifiable patents in that
|
||||
country that you have reason to believe are valid.
|
||||
|
||||
If, pursuant to or in connection with a single transaction or
|
||||
arrangement, you convey, or propagate by procuring conveyance of, a
|
||||
covered work, and grant a patent license to some of the parties
|
||||
receiving the covered work authorizing them to use, propagate, modify
|
||||
or convey a specific copy of the covered work, then the patent license
|
||||
you grant is automatically extended to all recipients of the covered
|
||||
work and works based on it.
|
||||
|
||||
A patent license is "discriminatory" if it does not include within
|
||||
the scope of its coverage, prohibits the exercise of, or is
|
||||
conditioned on the non-exercise of one or more of the rights that are
|
||||
specifically granted under this License. You may not convey a covered
|
||||
work if you are a party to an arrangement with a third party that is
|
||||
in the business of distributing software, under which you make payment
|
||||
to the third party based on the extent of your activity of conveying
|
||||
the work, and under which the third party grants, to any of the
|
||||
parties who would receive the covered work from you, a discriminatory
|
||||
patent license (a) in connection with copies of the covered work
|
||||
conveyed by you (or copies made from those copies), or (b) primarily
|
||||
for and in connection with specific products or compilations that
|
||||
contain the covered work, unless you entered into that arrangement,
|
||||
or that patent license was granted, prior to 28 March 2007.
|
||||
|
||||
Nothing in this License shall be construed as excluding or limiting
|
||||
any implied license or other defenses to infringement that may
|
||||
otherwise be available to you under applicable patent law.
|
||||
|
||||
12. No Surrender of Others' Freedom.
|
||||
|
||||
If conditions are imposed on you (whether by court order, agreement or
|
||||
otherwise) that contradict the conditions of this License, they do not
|
||||
excuse you from the conditions of this License. If you cannot convey a
|
||||
covered work so as to satisfy simultaneously your obligations under this
|
||||
License and any other pertinent obligations, then as a consequence you may
|
||||
not convey it at all. For example, if you agree to terms that obligate you
|
||||
to collect a royalty for further conveying from those to whom you convey
|
||||
the Program, the only way you could satisfy both those terms and this
|
||||
License would be to refrain entirely from conveying the Program.
|
||||
|
||||
13. Use with the GNU Affero General Public License.
|
||||
|
||||
Notwithstanding any other provision of this License, you have
|
||||
permission to link or combine any covered work with a work licensed
|
||||
under version 3 of the GNU Affero General Public License into a single
|
||||
combined work, and to convey the resulting work. The terms of this
|
||||
License will continue to apply to the part which is the covered work,
|
||||
but the special requirements of the GNU Affero General Public License,
|
||||
section 13, concerning interaction through a network will apply to the
|
||||
combination as such.
|
||||
|
||||
14. Revised Versions of this License.
|
||||
|
||||
The Free Software Foundation may publish revised and/or new versions of
|
||||
the GNU General Public License from time to time. Such new versions will
|
||||
be similar in spirit to the present version, but may differ in detail to
|
||||
address new problems or concerns.
|
||||
|
||||
Each version is given a distinguishing version number. If the
|
||||
Program specifies that a certain numbered version of the GNU General
|
||||
Public License "or any later version" applies to it, you have the
|
||||
option of following the terms and conditions either of that numbered
|
||||
version or of any later version published by the Free Software
|
||||
Foundation. If the Program does not specify a version number of the
|
||||
GNU General Public License, you may choose any version ever published
|
||||
by the Free Software Foundation.
|
||||
|
||||
If the Program specifies that a proxy can decide which future
|
||||
versions of the GNU General Public License can be used, that proxy's
|
||||
public statement of acceptance of a version permanently authorizes you
|
||||
to choose that version for the Program.
|
||||
|
||||
Later license versions may give you additional or different
|
||||
permissions. However, no additional obligations are imposed on any
|
||||
author or copyright holder as a result of your choosing to follow a
|
||||
later version.
|
||||
|
||||
15. Disclaimer of Warranty.
|
||||
|
||||
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
||||
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
|
||||
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
||||
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
|
||||
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
|
||||
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
|
||||
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
||||
|
||||
16. Limitation of Liability.
|
||||
|
||||
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
||||
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
|
||||
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
|
||||
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
||||
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
|
||||
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
||||
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
||||
SUCH DAMAGES.
|
||||
|
||||
17. Interpretation of Sections 15 and 16.
|
||||
|
||||
If the disclaimer of warranty and limitation of liability provided
|
||||
above cannot be given local legal effect according to their terms,
|
||||
reviewing courts shall apply local law that most closely approximates
|
||||
an absolute waiver of all civil liability in connection with the
|
||||
Program, unless a warranty or assumption of liability accompanies a
|
||||
copy of the Program in return for a fee.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Programs
|
||||
|
||||
If you develop a new program, and you want it to be of the greatest
|
||||
possible use to the public, the best way to achieve this is to make it
|
||||
free software which everyone can redistribute and change under these terms.
|
||||
|
||||
To do so, attach the following notices to the program. It is safest
|
||||
to attach them to the start of each source file to most effectively
|
||||
state the exclusion of warranty; and each file should have at least
|
||||
the "copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
<one line to give the program's name and a brief idea of what it does.>
|
||||
Copyright (C) <year> <name of author>
|
||||
|
||||
This program is free software: you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation, either version 3 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License
|
||||
along with this program. If not, see <https://www.gnu.org/licenses/>.
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
If the program does terminal interaction, make it output a short
|
||||
notice like this when it starts in an interactive mode:
|
||||
|
||||
<program> Copyright (C) <year> <name of author>
|
||||
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
||||
This is free software, and you are welcome to redistribute it
|
||||
under certain conditions; type `show c' for details.
|
||||
|
||||
The hypothetical commands `show w' and `show c' should show the appropriate
|
||||
parts of the General Public License. Of course, your program's commands
|
||||
might be different; for a GUI interface, you would use an "about box".
|
||||
|
||||
You should also get your employer (if you work as a programmer) or school,
|
||||
if any, to sign a "copyright disclaimer" for the program, if necessary.
|
||||
For more information on this, and how to apply and follow the GNU GPL, see
|
||||
<https://www.gnu.org/licenses/>.
|
||||
|
||||
The GNU General Public License does not permit incorporating your program
|
||||
into proprietary programs. If your program is a subroutine library, you
|
||||
may consider it more useful to permit linking proprietary applications with
|
||||
the library. If this is what you want to do, use the GNU Lesser General
|
||||
Public License instead of this License. But first, please read
|
||||
<https://www.gnu.org/licenses/why-not-lgpl.html>.
|
||||
@@ -0,0 +1,48 @@
|
||||
#!/usr/bin/env python3
|
||||
|
||||
'''
|
||||
AstroAtmosphere: A python package to evaluate refractive indices, refraction
|
||||
and dispersion of the atmosphere. It was written for astronomic
|
||||
applications, but it can probably be used for other applications
|
||||
as well.
|
||||
'''
|
||||
from setuptools import setup
|
||||
|
||||
|
||||
with open('README.md') as f:
|
||||
__readme__ = f.read()
|
||||
|
||||
with open('LICENSE.txt') as f:
|
||||
__license__ = f.read()
|
||||
|
||||
|
||||
def setup_package():
|
||||
# Rewrite the version file every time
|
||||
# write_version_py()
|
||||
|
||||
setup(name='AstroAtmosphere',
|
||||
version='0.1',
|
||||
description='Collection of equations for refractive index, refraction and dispersion calculations of atmospheric air.',
|
||||
long_description=__readme__,
|
||||
long_description_content_type='text/markdown',
|
||||
author='Joost van den Born',
|
||||
author_email='born@astron.nl',
|
||||
url='https://gitlab.astro-wise.org/micado/atmosphericmodel',
|
||||
license='GNU General Public License v3',
|
||||
package_dir={'AstroAtmosphere': 'AstroAtmosphere'},
|
||||
package_data={'AstroAtmosphere': ['data/*.txt']},
|
||||
include_package_data=True,
|
||||
packages=['AstroAtmosphere'],
|
||||
install_requires=['numpy',
|
||||
'scipy',
|
||||
'pyslalib>=1.0.4'
|
||||
],
|
||||
classifiers=['Programming Language :: Python :: 3',
|
||||
'Operating System :: OS Independent',
|
||||
'Intended Audience :: Science/Research',
|
||||
'Topic :: Scientific/Engineering :: Astronomy', ]
|
||||
)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
setup_package()
|
||||
Reference in new issue
Block a user