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ported slalib.sla_refro, some refactoring
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@@ -9,7 +9,7 @@ import numpy as np
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atmospheric dispersion, given a set of conditions.
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'''
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def BarrellAndSears(l, T=288.15, p=101325, H=0):
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def BarrellAndSears(l, T=288.15, p=101325, RH=0):
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'''
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From Barrell & Sears, 1939
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Equation 7.7, page 52
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@@ -24,7 +24,7 @@ def BarrellAndSears(l, T=288.15, p=101325, H=0):
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Temperature in Kelvin
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p : float
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Atmospheric pressure in Pascal
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H : float
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RH : float
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Relative humidity (0=<H=<1)
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Returns
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@@ -34,10 +34,11 @@ def BarrellAndSears(l, T=288.15, p=101325, H=0):
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'''
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T = K2C(T)
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P = hPA2mmHg(p/100)
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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)
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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) * RH / (1 + 0.003661*T)
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n = R/1e6 + 1
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return n
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def Ciddor(l, CO2=450):
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'''
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From Ciddor, 1996
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@@ -62,6 +63,7 @@ def Ciddor(l, CO2=450):
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n = R/1e8 + 1
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return n
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def Edlen1953(l):
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'''
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From Edlen, 1953
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@@ -84,6 +86,7 @@ def Edlen1953(l):
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n = R/1e8 + 1
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return n
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def Edlen1966(l):
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'''
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From Edlen, 1966
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@@ -106,7 +109,8 @@ def Edlen1966(l):
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n = R/1e8 + 1
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return n
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def Owens(l, T=288.15, p=101325, H=0):
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def Owens(l, T=288.15, p=101325, RH=0):
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'''
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From Owens, 1967
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Equation 32
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@@ -121,8 +125,8 @@ def Owens(l, T=288.15, p=101325, H=0):
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Temperature in Kelvin
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p : float
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Atmospheric pressure in Pa
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H : float
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Humdity (0<=H<=1)
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RH : float
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Relative humdity (0<=H<=1)
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Returns
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-------
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@@ -132,10 +136,11 @@ def Owens(l, T=288.15, p=101325, H=0):
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P = hPA2mmHg(p/100)
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T = K2C(T)
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s = 1 / l
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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)
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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)) - RH * (5.722 - 0.0457*s**2)
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n = R/1e8 + 1
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return n
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def BonschPotulski(l, T=288.15, p=101325, CO2=450):
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'''
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From Bonsch & Potulski, 1998
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@@ -168,6 +173,7 @@ def BonschPotulski(l, T=288.15, p=101325, CO2=450):
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n = Rtp + 1
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return n
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def BirchDowns(l):
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'''
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From Birch & Downs, 1993 and 1994 (correction)
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@@ -190,6 +196,7 @@ def BirchDowns(l):
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n = R/1e8 + 1
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return n
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def PeckReeder(l):
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'''
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From Peck & Reeder, 1972
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@@ -213,8 +220,70 @@ def PeckReeder(l):
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return n
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def slalib(l, T=288.15, p=101325, H=0, h=0, lat=-24, tlr=0.0065, eps=1e-10):
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def HohenkerkAndSinclair(l, T=288.15, p=101325, RH=0, h=0, lat=0):
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'''
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Calcalation of the refractive index following Hohenkerk & Sinclair
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(1985), which is the same one as used in SLALIB.
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This equation is based on the Barrell & Sears equation, but with
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slightly different values. The refractive index values here seem
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to be a bit higher than the original Barrel and Sears values.
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Parameters
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----------
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l : float
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Wavelength in microns
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T : float
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Temperature in Kelvin
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p : float
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Atmospheric pressure in Pa
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RH : float
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fractional humidity (0=<H=<1)
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h : float
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Altitude of the observer (default=0 m)
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lat : float
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Latitude of the observer (default=-24)
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Returns
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-------
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n : float
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Refractive index of atmospheric air at the given conditions
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'''
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# Some constants
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alpha = 0.0065
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delta = 18.36
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R = 8314.36
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Md = 28.966
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Mw = 18.016
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# Pressure in millibars
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P0 = p/100
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# Local acceleration due to gravity
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g_local = 9.784 * (1 - 0.0026 * np.cos(2*np.deg2rad(lat))) - 0.00000028*h
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gamma = g_local * Md / (R * alpha)
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# Partial pressure of water vapour at observer
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Pw = RH * (T/247.1)**18.36
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# Refractivity * 1e6 at reference conditions
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A = (287.604 + 1.6288*l**-2 + 0.0136*l**-4) * 273.15/1013.25
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# A = (287.5522 + 1.6288*l**-2 + 0.0136*l**-4) * 273.15/1013.25
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P = (P0 + (1 - Mw/Md) * gamma/(delta - gamma) * Pw )\
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- (1 - Mw/Md) * gamma / (delta-gamma) * Pw
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# Refractive index at given conditions
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n = 1 + 1e-6 * (A * P - 11.2684*Pw)/T
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return n
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def slalib(l, T=288.15, p=101325, RH=0, h=0, lat=-24, tlr=0.0065, eps=1e-10):
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'''
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NOTE: This function still works for now, but is considered DEPRECATED.
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Use BarrellAndSears() or HohenkerkAndSinclair() instead.
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SLALIB uses the same atmospheric model as ZEMAX
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based on the works of Hohenkerk & Sinclair and Seidelmann.
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They take the B&S refraction formula as a basis.
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@@ -228,8 +297,8 @@ def slalib(l, T=288.15, p=101325, H=0, h=0, lat=-24, tlr=0.0065, eps=1e-10):
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Temperature in Kelvin
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p : float
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Atmospheric pressure in Pa
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H : float
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fractional humidity (0=<H=<1)
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RH : float
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Relative humidity (0=<H=<1)
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h : float
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Altitude of the observer (default=0 m)
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lat : float
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@@ -243,6 +312,14 @@ def slalib(l, T=288.15, p=101325, H=0, h=0, lat=-24, tlr=0.0065, eps=1e-10):
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-------
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n : float
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Refractive index of atmospheric air at the given conditions
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Notes
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-----
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1. I don't understand why this function works. It calculates the
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refraction and somehow returns the refractive index. Perhaps
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this is a very particular set of input parameters that make it
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work. It does closely follow BarrellAndSears() for standard
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conditions.
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'''
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try:
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from pyslalib import slalib
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@@ -256,14 +333,14 @@ def slalib(l, T=288.15, p=101325, H=0, h=0, lat=-24, tlr=0.0065, eps=1e-10):
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if type(l) == float:
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l = [l]
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for wl in l:
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R.append(slalib.sla_refro(zObs, h, T, p, H, wl, lat, tlr, eps))
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R.append(slalib.sla_refro(zObs, h, T, p, RH, wl, lat, tlr, eps))
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if len(l) == 1:
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return R[0]+1
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else:
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return np.asarray(R)+1
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def Mathar(l, T=288.15, p=101325, H=0):
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def Mathar(l, T=288.15, p=101325, RH=0):
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'''
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Refractivity model by Mathar (2007), valid above 1.4 microns
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Code taken from
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@@ -392,7 +469,7 @@ def Mathar(l, T=288.15, p=101325, H=0):
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s = 1e4/l # cm^-1
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n = 1
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H = H*100
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H = RH*100
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for j in range(0, 6):
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n += ( cref[j] + cT[j]*(1/T-1/Tref) + cTT[j]*(1/T-1/Tref)**2
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@@ -420,6 +497,7 @@ def K2C(K):
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'''
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return K - 273.15
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def hPA2mmHg(hPa):
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'''
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hPa to mmHg conversion
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