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+1
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@@ -8,3 +8,4 @@ from .refractionModels import *
from .misc import *
from .refractivityModels import *
from .neoslalib import *
from .observatories import *
+152 -95
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@@ -3,12 +3,94 @@ from .ciddorModel import Observatory
from .refractionModels import refraction
from .dispersionModels import dispersion
from .neoslalib import sla_refro
from .observatories import observatories
from .refractivityModels import Edlen1953, Mathar
import numpy as np
import warnings
'''
@ Author: Joost van den Born
@ Contact: born@astron.nl
@ Description: Some functions for quick testing.
'''
def get_conditions(location):
'''
Returns the mean conditions at various site. Currently
supported locations:
- 'STANDARD'
- 'CERRO_ARMAZONES'
- 'CERRO_PARANAL'
- 'LA_PALMA'
- 'LA_SILLA'
- 'LAS_CAMPANAS'
- 'MAUNA_KEA'
Parameters
----------
location : string
String denoting the desired location
Returns
-------
observatory : dict
Dictionary containing the atmospheric parameters
'''
observatory = observatories[location]
return observatory
def Filippenko1982(l1, l2, zenith, conditions='STANDARD', T=288.15, p=101325,
RH=0.0, xc=450, lat=0, h=0, f=None):
'''
Calculates the refraction following the 1982 paper by
Alexei V. Filippenko.
The refraction is based on a flat atmosphere and the refractivity
values are calculated from a modified Edlen (1953) equation.
Parameters
----------
l1 : float
Shortest wavelength of interest in micron.
l2 : float
Longest wavelength of interest in micron.
zenith : float
Angle of observation in degrees.
zenith = 0 means the observation is directly overhead.
conditions : string
Refers to the standard conditions of the
observatory. See get_conditions() for more info.
If set to 'None', the conditions specified
after will be used.
T : float (optional)
Temperature in Kelvin
p : float (optional)
Atmospheric pressure in Pa
RH : float (optional)
Relative humidity
xc : float (optional)
CO2 density in parts per million
lat : float (optional)
Latitude of the observer in degrees
h : float (optional)
Altitude of the observer in meters
f : float
Water vapour pressure (default=None). If None, it is
calculated automatically.
Returns
-------
R : float
Atmospheric refraction in degrees
'''
if conditions is not None:
T, p, RH, xc, lat, h, _ = get_conditions(conditions).values()
n1 = Edlen1953(l1, T=T, p=p, RH=RH, f=f)
n2 = Edlen1953(l2, T=T, p=p, RH=RH, f=f)
dR = (n1 - n2) * np.tan(np.deg2rad(zenith))
return np.degrees(dR)
def quick_refractive_index(l, conditions='STANDARD', T=288.15, p=101325,
@@ -21,10 +103,14 @@ def quick_refractive_index(l, conditions='STANDARD', T=288.15, p=101325,
Parameters
----------
l : float
Wavelength in microns
Wavelength in microns. If the wavelength is above
2.5 microns, then the Mathar refractivity model
is used.
conditions: string
'STANDARD' or 'CERRO_ARMAZONES', refers
to the standard atmospheric conditions.
Refers to the standard conditions of the
observatory. See get_conditions() for more info.
If set to 'None', the conditions specified
after will be used.
T : float (optional)
Temperature in Kelvin
p : float (optional)
@@ -43,29 +129,18 @@ def quick_refractive_index(l, conditions='STANDARD', T=288.15, p=101325,
n : float
Refractive index for the given conditions.
'''
if conditions == 'STANDARD':
# Parameters at Cerro Armazones
T = 288.15 # k
p = 101325 # Pa
RH = 0.0
xc = 450 # ppm
lat = 0 # degrees
h = 0 # m
if conditions is not None:
T, p, RH, xc, lat, h, _ = get_conditions(conditions).values()
elif conditions == 'CERRO_ARMAZONES':
# Parameters at Cerro Armazones
T = 279.65 # k
p = 71200 # Pa
RH = 0.22
xc = 450 # ppm
lat = -24.5983 # degrees
h = 3064 # m
if l <= 2.5:
# Initializing dispersion model
at = Observatory()
# Initializing dispersion model
at = Observatory()
# Calculating indices of refraction for l
n = at.n_tph(l=l, T=T, p=p, RH=RH, xc=xc)
# Calculating indices of refraction for l
n = at.n_tph(l=l, T=T, p=p, RH=RH, xc=xc)
else:
# Using the Mathar description for infrared wavelengths
n = Mathar(l=l, T=T, p=p, RH=RH)
return n
@@ -79,13 +154,16 @@ def quick_refraction(l, zenith, conditions='STANDARD', T=288.15, p=101325,
Parameters
----------
l : float
Wavelength in microns
Wavelength in microns. If the wavelength is above 2.5 micron
then the Mathar refractivity model is used.
zenith : float
Angle of observation in degrees.
zenith = 0 means the observation is directly overhead.
conditions : string
'STANDARD' or 'CERRO_ARMAZONES', refers
to the standard atmospheric conditions.
Refers to the standard conditions of the
observatory. See get_conditions() for more info.
If set to 'None', the conditions specified
after will be used.
T : float (optional)
Temperature in Kelvin
p : float (optional)
@@ -104,29 +182,18 @@ def quick_refraction(l, zenith, conditions='STANDARD', T=288.15, p=101325,
R : float
Refraction in degrees
'''
if conditions == 'STANDARD':
# Parameters at Cerro Armazones
T = 288.15 # k
p = 101325 # Pa
RH = 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
RH = 0.22
xc = 450 # ppm
lat = -24.5983 # degrees
h = 3064 # m
if conditions is not None:
T, p, RH, xc, lat, h, _ = get_conditions(conditions).values()
# Initializing dispersion model
at = Observatory()
# Calculating indices of refraction for l
n = at.n_tph(l=l, T=T, p=p, RH=RH, xc=xc)
if l <= 2.5:
# Calculating indices of refraction for l
n = at.n_tph(l=l, T=T, p=p, RH=RH, xc=xc)
else:
# Using the Mathar description for infrared wavelengths
n = Mathar(l=l, T=T, p=p, RH=RH)
# Density of the atmosphere (following CIPM-81/91 equations)
rho = at.rho(p=p, T=T, RH=RH, xc=xc)
@@ -147,15 +214,19 @@ def quick_dispersion(l1, l2, zenith, conditions='STANDARD', T=288.15,
Parameters
----------
l1 : float
Shortest wavelength of interest in micron.
Shortest wavelength of interest in micron. If the wavelength
is above 2.5 microns, then the Mathar model is used.
l2 : float
Longest wavelength of interest in micron.
Longest wavelength of interest in micron. If the wavelength
is above 2.5 microns, then the Mathar model is used.
zenith : float
Angle of observation in degrees.
zenith = 0 means the observation is directly overhead.
conditions : string
'STANDARD' or 'CERRO_ARMAZONES', refers
to the standard atmospheric conditions.
Refers to the standard conditions of the
observatory. See get_conditions() for more info.
If set to 'None', the conditions specified
after will be used.
T : float (optional)
Temperature in Kelvin
p : float (optional)
@@ -174,30 +245,27 @@ def quick_dispersion(l1, l2, zenith, conditions='STANDARD', T=288.15,
dR : float
Atmospheric dispersion in degrees
'''
if conditions == 'STANDARD':
# Parameters at Cerro Armazones
T = 288.15 # k
p = 101325 # Pa
RH = 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
RH = 0.22
xc = 450 # ppm
lat = -24.5983 # degrees
h = 3064 # m
if conditions is not None:
T, p, RH, xc, lat, h, _ = get_conditions(conditions).values()
# Initializing dispersion model
at = Observatory()
# Calculating indices of refraction for l1 and l2
n1 = at.n_tph(l=l1, T=T, p=p, RH=RH, xc=xc)
n2 = at.n_tph(l=l2, T=T, p=p, RH=RH, xc=xc)
if l1 <= 2.5 and l2 <= 2.5:
# Calculating indices of refraction for l1 and l2
n1 = at.n_tph(l=l1, T=T, p=p, RH=RH, xc=xc)
n2 = at.n_tph(l=l2, T=T, p=p, RH=RH, xc=xc)
elif l1 > 1.4 and l2 > 1.4:
# Using the Mathar description for infrared wavelengths
n1 = Mathar(l=l1, T=T, p=p, RH=RH)
n2 = Mathar(l=l2, T=T, p=p, RH=RH)
else:
warnings.warn('Using two refractivity models (Ciddor and Mathar). \
Make sure you trust the results!')
l1n = np.min([l1, l2])
l2n = np.max([l1, l2])
n1 = at.n_tph(l=l1n, T=T, p=p, RH=RH, xc=xc)
n2 = Mathar(l=l2n, T=T, p=p, RH=RH)
# Density of the atmosphere (following CIPM-81/91 equations)
rho = at.rho(p=p, T=T, RH=RH, xc=xc)
@@ -228,8 +296,10 @@ def slalib_refraction(l, zenith, conditions='STANDARD', T=288.15, p=101325,
Angle of observation in degrees.
zenith = 0 means the observation is directly overhead.
conditions : string
'STANDARD' or 'CERRO_ARMAZONES', refers
to the standard atmospheric conditions.
Refers to the standard conditions of the
observatory. See get_conditions() for more info.
If set to 'None', the conditions specified
after will be used.
T : float (optional)
Temperature in Kelvin
p : float (optional)
@@ -245,11 +315,11 @@ def slalib_refraction(l, zenith, conditions='STANDARD', T=288.15, p=101325,
tlr : float
Temperature lapse rate (default=0.0065)
eps : float
Precision at which the calculation is aborted (default=1e-10)
Precision at which the calculation is aborted (default=1e-8)
use_pyslalib : bool
Flag that indicates that the user wants to use the pySlalib
package. If False, the internal python port of the original
FORTRAN code will be used. (Default=False).
FORTRAN code will be used. (default=False).
Returns
-------
@@ -257,23 +327,8 @@ def slalib_refraction(l, zenith, conditions='STANDARD', T=288.15, p=101325,
Refraction in degrees
'''
if conditions == 'STANDARD':
# Parameters at Cerro Armazones
T = 288.15 # k
p = 101325 # Pa
RH = 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
RH = 0.22
xc = 450 # ppm
lat = -24.5983 # degrees
h = 3064 # m
if conditions is not None:
T, p, RH, xc, lat, h, _ = get_conditions(conditions).values()
# Converting units to the units that sla_refro() requires.
_zenith = np.deg2rad(zenith) # From degrees to radians
@@ -326,8 +381,10 @@ def slalib_dispersion(l1, l2, zenith, conditions='STANDARD', T=288.15, p=101325,
Angle of observation in degrees.
zenith = 0 means the observation is directly overhead.
conditions : string
'STANDARD' or 'CERRO_ARMAZONES', refers
to the standard atmospheric conditions.
Refers to the standard conditions of the
observatory. See get_conditions() for more info.
If set to 'None', the conditions specified
after will be used.
T : float (optional)
Temperature in Kelvin
p : float (optional)
@@ -343,11 +400,11 @@ def slalib_dispersion(l1, l2, zenith, conditions='STANDARD', T=288.15, p=101325,
tlr : float
Temperature lapse rate (default=0.0065)
eps : float
Precision at which the calculation is aborted (default=1e-10)
Precision at which the calculation is aborted (default=1e-8)
use_pyslalib : bool
Flag that indicates that the user wants to use the pySlalib
package. If False, the internal python port of the original
FORTRAN code will be used. (Default=False).
FORTRAN code will be used. (default=False).
Returns
-------
+1 -1
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@@ -33,7 +33,7 @@ def sla_atms(RT, TT, DNT, GAMAL, R):
R * rate the refractive index is changing at R
'''
_B = GAMAL / TT
_W = (DNT - 1) * np.exp( -B * (R - RT) )
_W = (DNT - 1) * np.exp( -_B * (R - RT) )
DN = 1+_W
RDNDR = -R * _B * _W
return DN, RDNDR
+85
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@@ -0,0 +1,85 @@
observatories = {
'STANDARD': {
'T': 288.15,
'p': 101325,
'RH': 0.0,
'xc': 450,
'latitude': 0,
'altitude': 0,
'comment': 'Standard atmospheric conditions'
},
'CERRO_ARMAZONES': {
'T': 279.65,
'p': 71200,
'RH': 0.22,
'xc': 450,
'latitude': -24.5983,
'altitude': 3064,
'comment': 'Default conditions for Cerro Armazones, site of the ELT.\nValues are taken from the optical model of MICADO.'
},
'CERRO_PARANAL': {
'T': 285.95,
'p': 74300,
'RH': 0.15,
'xc': 450,
'latitude': -24.6230,
'altitude': 2635,
'comment': 'Average conditions at Cerro Paranal, site of the VLT.\nValues are taken from https://www.eso.org/sci/facilities/paranal/astroclimate/site.html and https://academic.oup.com/mnras/article/399/2/783/1061377'
},
'LA_SILLA': {
'T': 284.65,
'p': 77220,
'RH': 0.44,
'xc': 450,
'latitude': -29.25,
'altitude': 2400,
'comment': 'Average conditions of the La Silla Observatory.\nValues based on https://www.eso.org/gen-fac/pubs/astclim/lasilla/diffrefr.html'
},
'LAS_CAMPANAS': {
'T': 285.85,
'p': 76400,
'RH': 0.0,
'xc': 450,
'latitude': -29.016,
'altitude': 2380,
'comment': 'Mean conditions at Las Campanas observatory, site of the GMT.\nValues based on https://www.gmto.org/Resources/GMT-ID-01466-Chapter_5_Site_Evaluation.pdf and http://weather.lco.cl/'
},
'LA_PALMA': {
'T': 281.95,
'p': 77500,
'RH': 0.36,
'xc': 450,
'latitude': 28.764,
'altitude': 2396,
'comment': 'Average conditions for Roque de los Muchachos Observatory on La Palma, Spain.\nValues taken from https://academic.oup.com/mnras/article/399/2/783/1061377'
},
'MAUNA_KEA': {
'T': 274.45,
'p': 61400,
'RH': 0.48,
'xc': 450,
'latitude': 19.826,
'altitude': 4205,
'comment': 'Average conditions at the Mauna Kea Observatory.\nValues taken from http://www.soest.hawaii.edu/MET/Faculty/businger/mauna_kea/daSilvaThesisFinal.pdf, Ch. 3. and https://www.eso.org/gen-fac/pubs/astclim/espas/espas_reports/ESPAS-MaunaKea.pdf'
}
# 'MT_GRAHAM': {
# 'T': 278.15,
# 'p': 68500,
# 'RH': 0.0,
# 'xc': 450,
# 'latitude': 32.701,
# 'altitude': 3191,
# 'comment': 'Mean conditions at Mount Graham International Observatory,\
# site of the LBT. Values are estimates.'
# },
# 'FRED_LAWRENCE_WHIPPLE': {
# 'T': 288.15,
# 'p': 74300,
# 'RH': 0.0,
# 'xc': 450,
# 'latitude': 31.681,
# 'altitude': 2616,
# 'comment': 'Mean conditions at Fred Lawrence Whipple Observatory, site of\
# the MMT. Values are estimates.'
# }
}
+4 -4
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@@ -391,7 +391,7 @@ class refraction(Observatory):
R : float
Atmospheric refraction in degrees
'''
_R = np.arcsin(n * np.sin( np.deg2rad(zenith) )) - np.deg2rad(zenith)
_R = np.arcsin(n1 * np.sin( np.deg2rad(zenith) )) - np.deg2rad(zenith)
return np.degrees(_R)
@@ -430,7 +430,7 @@ class refraction(Observatory):
Parameters
----------
n1 : float
Refractive index at the wavelength of interest
Refractive index at the wavelength of interest at the observer
zenith : float
Angle of observation in degrees.
zenith = 0 means the observation is directly overhead.
@@ -469,10 +469,10 @@ class refraction(Observatory):
_R = R0 + _h * 1000
# Gladstone-Dale relation between refractive index and density
_n_h = 1 + (n0 - 1) / _Dens[0] * _Dens
_n_h = 1 + (n1 - 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(zenith) )
_z = np.arcsin( (n1 * R0) / (_n_h * _R) * np.sin(zenith) )
# Calculation of log space derivative of n and r
_lnn = np.log(_n_h)
+152 -26
View File
@@ -9,7 +9,7 @@ import numpy as np
atmospheric dispersion, given a set of conditions.
'''
def BarrellAndSears(l, T=288.15, p=101325, RH=0):
def BarrellAndSears(l, T=288.15, p=101325, RH=0, f=None):
'''
From Barrell & Sears, 1939
Equation 7.7, page 52
@@ -26,15 +26,20 @@ def BarrellAndSears(l, T=288.15, p=101325, RH=0):
Atmospheric pressure in Pascal
RH : float
Relative humidity (0=<H=<1)
f : float
Water vapour pressure in Pascal
Returns
-------
n : float
Refractive index of atmospheric air at the given conditions
'''
if f is None:
f = RH * svp(T)
f_mmHg = hPa2mmHg(f/100)
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) * RH / (1 + 0.003661*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) * f_mmHg / (1 + 0.003661*T)
n = R/1e6 + 1
return n
@@ -50,6 +55,8 @@ def Ciddor(l, CO2=450):
----------
l : float
Wavelength in microns
CO2 : float
CO2 density in parts per million
Returns
-------
@@ -64,17 +71,27 @@ def Ciddor(l, CO2=450):
return n
def Edlen1953(l):
def Edlen1953(l, T=288.15, p=101325, RH=0, f=None):
'''
From Edlen, 1953
Equation 2
At standard conditions only
At standard conditions only.
Following Filippenko (1982), eqs. 2 & 3 we also include
the modification proposed by Barrell in 1951.
Parameters
----------
l : float
Wavelength in microns
T : float
Temperature in Kelvin
p : float
Atmospheric pressure in Pascal
RH : float
Relative humidity (0=<H=<1)
f : float
Water vapor pressure in Pascal
Returns
-------
@@ -83,14 +100,27 @@ def Edlen1953(l):
'''
s = 1 / l
R = 6432.8 + 2949810 / (146 - s**2) + 25540/(41-s**2)
n = R/1e8 + 1
n_standard = R/1e8 + 1
pHg = hPa2mmHg(p/100)
Tc = K2C(T)
if f is None:
f = RH * svp(T)
f_mmHg = hPa2mmHg(f/100)
# Changes in temperature and pressure, from Barrell (1951)
n_tp = R/1e8 * (pHg * (1 + (1.049 - 0.0157*Tc) * 1e-6 * pHg ) ) / ( 720.883 * (1 + 0.003661 * Tc)) + 1
# Correction for water vapour pressure
n_svp = (n_tp - 1) * 1e6 - ( 0.0624 - 0.000680 * s**2 ) / (1 + 0.003661 * Tc) * f_mmHg
n = n_svp/1e6 + 1
return n
def Edlen1966(l):
def Edlen1966(l, T=288.15, p=101325, RH=0, CO2=300, f=None):
'''
From Edlen, 1966
Equation 1
Equations 1, 12, 17, 22
At standard conditions only
@@ -98,6 +128,16 @@ def Edlen1966(l):
----------
l : float
Wavelength in microns
T : float
Temperature in Kelvin
p : float
Atmospheric pressure in Pascal
RH : float
Relative humidity (0=<H=<1)
CO2 : float
CO2 density in parts per million
f : float
Water vapor pressure in Pascal
Returns
-------
@@ -107,6 +147,27 @@ def Edlen1966(l):
s = 1 / l
R = 8342.13 + 2406030 / (130 - s**2) + 15997 / (38.9 - s**2)
n = R/1e8 + 1
# Influence of temperature and pressure, eq. 12
Tc = K2C(T)
Ptorr = Pa2Torr(p)
R_tp = ( Ptorr * R/1e8 ) / 720.775 * (1 + Ptorr * (0.817 - 0.0133 * Tc) * 1e-6) / ( 1 + 0.0036610 * Tc)
# Allow for a CO2 fraction, eq. 17, but we include T and P dependence.
# This is okay from "Asthe refractivity of CO, is about 50% higher than
# that of air this CO,-content increases the refractivity over that of
# CO2-free air by approximately 0.5 x 0.0003 x (n-1)s" and "As the
# density factor of CO, is not much different from that of air this ratio r
# can be taken as independent of t and p ."
R_x = R_tp * (1 + 0.540 * (CO2/1e6 - 0.0003))
n_x = R_x + 1
# Correction for water vapour, eq. 22
if f is None:
f = RH * svp(T)
ftorr = Pa2Torr(f)
n = n_x - ftorr * (5.7224 - 0.0457 * s**2) * 1e-8
return n
@@ -133,7 +194,7 @@ def Owens(l, T=288.15, p=101325, RH=0):
n : float
Refractive index of atmospheric air at the given conditions
'''
P = hPA2mmHg(p/100)
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)) - RH * (5.722 - 0.0457*s**2)
@@ -141,10 +202,10 @@ def Owens(l, T=288.15, p=101325, RH=0):
return n
def BonschPotulski(l, T=288.15, p=101325, CO2=450):
def BonschPotulski(l, T=288.15, p=101325, RH=0, CO2=400, f=None):
'''
From Bonsch & Potulski, 1998
Equations 6, 7, 8
Equations 6, 7, 8 and 9a
Parameters
----------
@@ -154,8 +215,12 @@ def BonschPotulski(l, T=288.15, p=101325, CO2=450):
Temperature in Kelvin
p : float
Atmospheric pressure in Pa
RH : float
Relative humidity (0<=H<=1)
CO2 : float
Particles per million of CO2
f : float
Water vapor pressure in Pascal
Returns
-------
@@ -163,21 +228,26 @@ def BonschPotulski(l, T=288.15, p=101325, CO2=450):
Refractive index of atmospheric air at the given conditions
'''
x = CO2 / 1e6
T = K2C(T)
Tc = 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
Rtp = Rx * p / 93214.60 * (1 + 1e-8 * (0.5953 - 0.009876 * Tc)*p) / (1 + 0.0036610 * Tc)
if f is None:
f = RH * svp(T)
n_tp = Rtp + 1
n = n_tp - f * (3.8020 - 0.0384 * s**2) * 1e-10
return n
def BirchDowns(l):
def BirchDowns(l, T=288.15, p=101325, RH=0, f=None):
'''
From Birch & Downs, 1993 and 1994 (correction)
Equations 1 and 2
Equations 1, 2 and 3
Only at standard conditions
@@ -185,15 +255,32 @@ def BirchDowns(l):
----------
l : float
wavelength in micron
T : float
Temperature in Kelvin
p : float
Atmospheric pressure in Pa
RH : float
Relative humidity (0<=H<=1)
f : float
Water vapor pressure in Pascal
Returns
-------
n : float
Refractive index of atmospheric air at the given conditions
'''
Tc = K2C(T)
s = 1 / l
R = 8342.54 + 2406147 / (130 - s**2) + 15998 / (38.9-s**2)
n = R/1e8 + 1
Rs = 8342.54 + 2406147 / (130 - s**2) + 15998 / (38.9-s**2)
n = Rs/1e8 + 1
R_tp = (p * Rs/1e8) / 96095.43 * (1 + 1e-8 * (0.601 - 0.00972 * Tc) * p) / (1 + 0.0036610 * Tc)
n_tp = R_tp + 1
if f is None:
f = RH * svp(T)
n = n_tp - f * (3.7345 - 0.0401 * s**2) * 1e-10
return n
@@ -368,7 +455,7 @@ def Mathar(l, T=288.15, p=101325, RH=0):
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:
elif 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
@@ -388,7 +475,7 @@ def Mathar(l, T=288.15, p=101325, RH=0):
Href = 10 #%, reference humdity in percent
########################################################################
if l > 2.65 and l <= 4.275:
elif 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
@@ -408,7 +495,7 @@ def Mathar(l, T=288.15, p=101325, RH=0):
Href = 10 #%, reference humdity in percent
########################################################################
if l > 4.275 and l <= 6.35:
elif 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
@@ -427,7 +514,7 @@ def Mathar(l, T=288.15, p=101325, RH=0):
Href = 10 #%, reference humdity in percent
########################################################################
if l > 6.35 and l <= 15.05:
elif 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
@@ -447,7 +534,7 @@ def Mathar(l, T=288.15, p=101325, RH=0):
########################################################################
if l > 15.05:
elif 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
@@ -464,7 +551,7 @@ def Mathar(l, T=288.15, p=101325, RH=0):
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
Href = 10 # %, reference humdity in percent
########################################################################
s = 1e4/l # cm^-1
@@ -481,6 +568,7 @@ def Mathar(l, T=288.15, p=101325, RH=0):
return n
# Other necessary conversion or calculations
def K2C(K):
'''
Kelvin to Celsius conversion
@@ -498,7 +586,7 @@ def K2C(K):
return K - 273.15
def hPA2mmHg(hPa):
def hPa2mmHg(hPa):
'''
hPa to mmHg conversion
@@ -514,3 +602,41 @@ def hPA2mmHg(hPa):
'''
return 0.7500616827 * hPa
def Pa2Torr(Pa):
'''
Pa to Torr conversion
Parameters
----------
Pa : float
Atmospheric pressure in Pa (Pascal)
Returns
-------
Torr : float
Atmospheric pressure in Torr
'''
return Pa * 760/101325
def svp(T):
'''
Saturation vapour pressure in Pa.
Parameters
----------
T : float
Atmospheric temperature in Kelvin
Returns
-------
svp : float
Saturation vapour pressure in Pa
'''
_A = 1.2378847e-5 # K^-2
_B = -1.9121316e-2 # K^-2
_C = 33.93711047
_D = -6.3431645e3 # K^-2
return np.exp(_A*T**2 + _B*T + _C + _D/T)
+1
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@@ -0,0 +1 @@
include AstroAtmosphere/data/1976USSA.txt
+25 -10
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@@ -60,11 +60,14 @@ The package contains the following files:
- `/data/1976USSA.txt` : Data file of the 1976 US Standard Atmosphere.
- `ciddorModel.py` : Contains the `Observatory()` class to calculate the refractive index of atmospheric air, using the Ciddor (1996) model.
- `dispersionModels.py` : Contains various atmospheric models that can be used to calculate the atmospheric dispersion
- `misc.py` : Contains several miscellaneous functions, e.g. to quickly calculate the refractive index.
- `refractionModels.py` : Contains various atmospheric models that can be used to calculate the atmospheric refraction
- `misc.py` : Contains several miscellaneous functions, e.g. to quickly calculate the refractive index.
- `neoslalib.py` : Contains a Python native port of the `pyslalib.SLA_REFRO()` routine, translated from the original FORTRAN code.
- `observatories.py` : Contains a dictionary with the average atmospheric conditions for various large observatories around the world.
- `refractionModels.py` : Contains various atmospheric models that can be used to calculate the atmospheric refraction
- `refractivityModels.py` : Contains various functions from literature to calculate the refractive index. Some examples of works included are Ciddor (1996), Barrell & Sears (1939), SLALIB, Owens (1967) and Edlen (1966).
## The Ciddor refractivity model
The refractivity model from Ciddor, 1996, calculates the index of refraction of air using the following parameters:
@@ -118,7 +121,7 @@ rho = at.rho(p=101325, T=273.15, RH=0.2, xc=300)
# Initializing refraction model and setting the reduced height
ref = refraction(lat=30, h=2200)
ref.setReducedHeight(p=101325, rho)
ref.setReducedHeight(p=101325, rho=rho)
# Calculating the atmospheric refraction
atm_ref = ref.cassini(n, zenith=30)
@@ -186,10 +189,10 @@ Included are
| ---------- | -------- | ------- |
| Barrell & Sears (1939) | `BarrellAndSears()` | Outdated model, especially poor for short wavelengths. |
| Ciddor (1996) | `Ciddor()` | Only at standard atmosphere. CO2 density can be changed. |
| Edlen (1953) | `Edlen1953()` | Only at standard atmosphere. Function requires wavelength only. |
| Edlen (1966) | `Edlen1966()` | Only at standard atmosphere. Function requires wavelength only. |
| Owens (1967) | `Owens()` | - |
| Bonsch & Potulski (1998) | `BonschPotulski()` | Function does not include humidity |
| Edlen (1953) | `Edlen1953()` | The equation by Edlèn, 1953, combined with modification from Barrel (1951), to include temperature, pressure and humidity dependence. |
| Edlen (1966) | `Edlen1966()` | Allows for any temperature, pressure, humidity and CO2 density.|
| Owens (1967) | `Owens()` | Allows for any temperature, pressure, humidity. |
| Bonsch & Potulski (1998) | `BonschPotulski()` | Allows for any temperature, pressure, humidity and CO2 density. |
| Birch & Downs (1994) | `BirchDowns()` | Only at standard atmosphere. Function requires wavelength only. |
| Peck & Reeder (1972) | `PeckReeder()` | Only at standard atmosphere. Function requires wavelength only. |
| Hohenkerk & Sinclair (1985) | `HohenkerkAndSinclair()` | Based on Barrell & Sears equation. Generally, gives slightly larger values.|
@@ -199,9 +202,8 @@ The last function extracts the refractive index from the `pyslalib.sla_refro()`
## Quick functions
Some functions that assume default conditions for the atmosphere. Then only the wavelength and zenith angle are required to calculate the refraction and dispersion.
Some functions can make use of the `observatories` dictionary as input. These include default average conditions of the atmosphere at these locations. When these are used, only the wavelength and zenith angle are required to calculate the refraction and dispersion.
Presently, only the `'STANDARD'` and `'CERRO_ARMAZONES'` flags are known. Contact the author to add additional standard conditions.
```python
# Quick refractive index
@@ -214,6 +216,19 @@ rq = quick_refraction(l1, zenith_obs, conditions='STANDARD')
dq = quick_dispersion(l1, l2, zenith_obs, conditions='STANDARD')
```
Presently, several observatories are known. These can all be found in the `observatories` dictionary. Contact the author to add additional standard conditions.
| Observatory | Flag | Notes |
| --------------------------------------------- | ----------------- | --------------------------------------------- |
| Standard conditions | `STANDARD` | |
| Cerro Armazones | `CERRO_ARMAZONES` | Location of the future ELT |
| Cerro Paranal | `CERRO_PARANAL` | Location of the VLT, VISTA, VST, NGTS and SSO |
| Roque de los Muchachos Observatory (La Palma) | `LA_PALMA` | GTC, INT, WHT, NOT, and others. |
| La Silla Observatory | `LA_SILLA` | ESO 3.6m telescope, NTG, BlackGEM and others. |
| Las Campanas Observatory | `LAS_CAMPANAS` | Site of the future GMT. |
## Other
This package also contains a python native port of the `SLA_REFRO()` routine of the pyslalib package, which was originally written in FORTRAN by P.T. Wallace. It can be called directly using `sla_refro()`. When using the same units as the other refraction functions, you might prefer using `slalib_refraction()` or `slalib_dispersion()`.
This package also contains a python native port of the `SLA_REFRO()` routine of the pyslalib package, which was originally written in FORTRAN by P.T. Wallace. It can be called directly using `sla_refro()`. When using the same units as the other refraction functions, you might prefer using `slalib_refraction()` or `slalib_dispersion()`. Do note that this implementation is slower than the (compiled) FORTRAN implementation.
Finally, the dispersion model used by Alexei Filippenko in 1982 is also included. This model is a combination of the (modified) Edlèn equation and a plane-parallel atmospheric geometry. This calculation can be accessed by calling the `Filippenko1982()` function.
+20 -1
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@@ -81,7 +81,26 @@ class atmosphericModel:
def slalib(self, l=None):
if not l:
l = self.lrange
return(AstroAtmosphere.slalib(l, T=self.T, p=self.P, RH=self.H)-1)
try:
from pyslalib import slalib
return(AstroAtmosphere.slalib(l, T=self.T, p=self.P, RH=self.H)-1)
except ImportError as e:
print('Could not import pyslalib.slalib. Using slower Python native function sla_refro().')
h=0
lat=-24
tlr=0.0065
eps=1e-10
zObs = np.deg2rad(45.07182)
p = self.P/100
R = []
if type(l) == float:
l = [l]
for wl in l:
R.append(AstroAtmosphere.sla_refro(zObs, h, self.T, p, self.H, wl, lat, tlr, eps))
if len(l) == 1:
return R[0]
else:
return np.asarray(R)
if __name__ == '__main__':
+2 -2
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@@ -21,14 +21,14 @@ def setup_package():
# write_version_py()
setup(name='AstroAtmosphere',
version='1.2',
version='1.4.1',
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',
download_url='https://gitlab.astro-wise.org/micado/atmosphericmodel/-/archive/v1.2/atmosphericmodel-v1.2.tar.gz',
download_url='https://gitlab.astro-wise.org/micado/atmosphericmodel/-/archive/v1.4.1/atmosphericmodel-v1.4.1.tar.gz',
license='GNU General Public License v3',
data_files = [('',['LICENSE.txt'])],
package_dir={'AstroAtmosphere': 'AstroAtmosphere'},