mirror of
https://gitlab.astro-wise.org/micado/atmosphericmodel.git
synced 2026-10-29 20:51:05 +00:00
First commit
This commit is contained in:
Joost van den Born committed
commit
10bf0fa17d
7 files changed
+14613
No files matched your search
@@ -0,0 +1,213 @@
|
||||
#!/usr/bin/env Python
|
||||
import numpy as np
|
||||
import matplotlib.pyplot as plt
|
||||
from mpl_toolkits.axes_grid1 import host_subplot
|
||||
from atmosphericModel import *
|
||||
from pdb import set_trace
|
||||
import pandas as pd
|
||||
|
||||
'''
|
||||
@ Author: Joost van den Born
|
||||
@ Contact: born@astron.nl
|
||||
@ Description: Modeling the atmospheric refraction using multiple
|
||||
models of the atmosphere.
|
||||
|
||||
Models included:
|
||||
- Plane-parallel atmosphere
|
||||
- Cassini's model
|
||||
- Tan5 model (A*tan(z) + B*tan^3(z) + C*tan^5(z))
|
||||
- Oriani's theorem (A*tan(z) + B*tan^3(z))
|
||||
- Erf model (from Corbard et al., 2019)
|
||||
- I do not yet consider full integration of the refraction integral.
|
||||
'''
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
# Conditions at Cerro Armazones
|
||||
# T = 279.65 # k
|
||||
# P = 71200 # Pa
|
||||
# H = 0.22
|
||||
# xc = 450 # ppm
|
||||
T = 288.15 # k
|
||||
P = 101325 # Pa
|
||||
H = 0.0
|
||||
xc = 314 # ppm
|
||||
lat = -24.5983 # degrees
|
||||
h = 3064 # m
|
||||
l1 = 1.49 # micron
|
||||
l2 = 1.78 # micron
|
||||
zenith = 30 # degrees
|
||||
|
||||
# Calculate the index of refraction
|
||||
at = Ciddor1996(p=P, T=T, H=H, xc=xc)
|
||||
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)
|
||||
rho = at.rho(p=P, T=T, RH=H, xc=xc)
|
||||
|
||||
refractionAnalysis = True
|
||||
dispersionAnalysis = True
|
||||
tableCompare = True
|
||||
if dispersionAnalysis:
|
||||
# Initiate the refraction class
|
||||
ref = dispersion(lat, h, P, rho)
|
||||
|
||||
# Compare the refraction models to check if the output is okay
|
||||
print ('Plane - parallel atmosphere dispersion: %s mas' %(ref.planeParallel(n1, n2, zenith) * 3.6e6))
|
||||
print ('Cassini dispersion: %s mas' %(ref.cassini(n1, n2, zenith) * 3.6e6))
|
||||
print ('Tan5 dispersion: %s mas' %(ref.tan5(n1, n2, zenith) * 3.6e6))
|
||||
print ('Oriani dispersion: %s mas' %(ref.oriani(n1, n2, zenith) * 3.6e6))
|
||||
print ('Corbard dispersion: %s mas' %(ref.corbard(n1, n2, zenith)*3.6e6))
|
||||
print ('Full integration: %s mas' %(ref.refractionIntegral(n1, n2, zenith)*3.6e6))
|
||||
|
||||
|
||||
# Now we calculate the dispersion over a wide range of zenith angles
|
||||
# for ideal gas atmosphere
|
||||
zenithRange = np.linspace(5, 85, 1000)
|
||||
ppList = ref.planeParallel(n1, n2, zenithRange) * 3.6e6
|
||||
cassiniList = ref.cassini(n1, n2, zenithRange) * 3.6e6
|
||||
tan5List = ref.tan5(n1, n2, zenithRange) * 3.6e6
|
||||
orianiList = ref.oriani(n1, n2, zenithRange) * 3.6e6
|
||||
corbardList = [ref.corbard(n1, n2, z) * 3.6e6 for z in zenithRange]
|
||||
fullIntegrationList = [ref.refractionIntegral(n1, n2, z) * 3.6e6 for z in zenithRange]
|
||||
|
||||
# for isothermal atmosphere
|
||||
cassiniList_isotherm = ref.cassini(n1, n2, zenithRange, reduced_height=ref.H_isotherm(T)) * 3.6e6
|
||||
tan5List_isotherm = ref.tan5(n1, n2, zenithRange, reduced_height=ref.H_isotherm(T)) * 3.6e6
|
||||
orianiList_isotherm = ref.oriani(n1, n2, zenithRange, reduced_height=ref.H_isotherm(T)) * 3.6e6
|
||||
corbardList_isotherm = [ref.corbard(n1, n2, z, reduced_height=ref.H_isotherm(T)) * 3.6e6 for z in zenithRange]
|
||||
|
||||
# check when the variation between the different models pass different values
|
||||
dispersionWidth = []
|
||||
widthList = []
|
||||
for z in range(len(zenithRange)):
|
||||
compList = [cassiniList[z], tan5List[z], orianiList[z], corbardList[z], cassiniList_isotherm[z], tan5List_isotherm[z], orianiList_isotherm[z], corbardList_isotherm[z]]#, fullIntegrationList[z]]
|
||||
width = np.max(compList) - np.min(compList)
|
||||
widthList.append(width)
|
||||
dispersionWidth.append((zenithRange[z], width))
|
||||
|
||||
masBorder = np.argmax(np.asarray(widthList)>1)
|
||||
p1masBorder = np.argmax(np.asarray(widthList)>0.1)
|
||||
p01masBorder = np.argmax(np.asarray(widthList)>0.01)
|
||||
p001masBorder = np.argmax(np.asarray(widthList)>0.001)
|
||||
|
||||
|
||||
# Plotting it all, with vertical lines where the variation between the models exceed 1, 0.1, 0.01 and 0.001 mas.
|
||||
fig = plt.figure(figsize=(11,6))
|
||||
ax = fig.add_subplot(111)
|
||||
ax.set_xlim([30,85])
|
||||
ax.set_xlabel('Zenith (degrees)')
|
||||
ax.set_ylabel('Dispersion (mas)')
|
||||
ax.grid(True, alpha=0.3)
|
||||
ax.axvline(dispersionWidth[masBorder][0], linestyle='--', color='k', linewidth=0.5)
|
||||
ax.text(dispersionWidth[masBorder][0]-0.5, 402, '1 mas', ha='center', va='bottom', rotation='vertical')
|
||||
ax.axvline(dispersionWidth[p1masBorder][0], linestyle='--', color='k', linewidth=0.5)
|
||||
ax.text(dispersionWidth[p1masBorder][0]-0.5, 402, '0.1 mas', ha='center', va='bottom', rotation='vertical')
|
||||
ax.axvline(dispersionWidth[p01masBorder][0], linestyle='--', color='k', linewidth=0.5)
|
||||
ax.text(dispersionWidth[p01masBorder][0]-0.5, 402, '10 $\mu$as', ha='center', va='bottom', rotation='vertical')
|
||||
ax.axvline(dispersionWidth[p001masBorder][0], linestyle='--', color='k', linewidth=0.5)
|
||||
ax.text(dispersionWidth[p001masBorder][0]-0.5, 402, '1 $\mu$as', ha='center', va='bottom', rotation='vertical')
|
||||
|
||||
ax.plot(zenithRange, ppList, 'k-', label='Plane-parallel', alpha=0.2)
|
||||
ax.plot(zenithRange, cassiniList, 'g-', label='Cassini')
|
||||
ax.plot(zenithRange, tan5List, 'b-', label='$Atan(z) - Btan^3(z) + Ctan^5(z)$')
|
||||
ax.plot(zenithRange, orianiList, 'y-', label='$Atan(z) - Btan^3(z)$')
|
||||
ax.plot(zenithRange, corbardList, 'r-', label='Error function')
|
||||
ax.plot(zenithRange, fullIntegrationList, 'c-', label='Full integration')
|
||||
|
||||
ax.plot(zenithRange, cassiniList_isotherm, 'g--', label='Cassini (isotherm)')
|
||||
ax.plot(zenithRange, tan5List_isotherm, 'b--', label='$Atan(z) - Btan^3(z) + Ctan^5(z)$ (isotherm)')
|
||||
ax.plot(zenithRange, orianiList_isotherm, 'y--', label='$Atan(z) - Btan^3(z)$ (isotherm)')
|
||||
ax.plot(zenithRange, corbardList_isotherm, 'r--', label='Error function (isotherm)')
|
||||
|
||||
ax.legend()
|
||||
plt.tight_layout()
|
||||
plt.show()
|
||||
|
||||
|
||||
if refractionAnalysis:
|
||||
# Initiate the refraction class
|
||||
ref = refraction(lat, h, P, rho)
|
||||
|
||||
# Compare the refraction models to check if the output is okay
|
||||
print ('Plane - parallel atmosphere refraction: %s arcsec' %(ref.planeParallel(n1, zenith) * 3.6e3))
|
||||
print ('Cassini refraction: %s arcsec' %(ref.cassini(n1, zenith) * 3.6e3))
|
||||
print ('Tan5 refraction: %s arcsec' %(ref.tan5(n1, zenith) * 3.6e3))
|
||||
print ('Oriani refraction: %s arcsec' %(ref.oriani(n1, zenith) * 3.6e3))
|
||||
print ('Corbard refraction: %s arcsec' %(ref.corbard(n1, zenith)*3.6e3))
|
||||
print ('Full integration: %s mas' %(ref.refractionIntegral(n1, zenith)*3.6e3))
|
||||
|
||||
|
||||
# Now we calculate the dispersion over a wide range of zenith angles
|
||||
# for ideal gas atmosphere
|
||||
zenithRange = np.linspace(0, 88, 1000)
|
||||
ppList = ref.planeParallel(n1, zenithRange) * 3.6e3
|
||||
cassiniList = ref.cassini(n1, zenithRange) * 3.6e3
|
||||
tan5List = ref.tan5(n1, zenithRange) * 3.6e3
|
||||
orianiList = ref.oriani(n1, zenithRange) * 3.6e3
|
||||
corbardList = [ref.corbard(n1, z) * 3.6e3 for z in zenithRange]
|
||||
fullIntegrationList = [ref.refractionIntegral(n1, z) * 3.6e3 for z in zenithRange]
|
||||
|
||||
# for isothermal atmosphere
|
||||
cassiniList_isotherm = ref.cassini(n1, zenithRange, reduced_height=ref.H_isotherm(T)) * 3.6e3
|
||||
tan5List_isotherm = ref.tan5(n1, zenithRange, reduced_height=ref.H_isotherm(T)) * 3.6e3
|
||||
orianiList_isotherm = ref.oriani(n1, zenithRange, reduced_height=ref.H_isotherm(T)) * 3.6e3
|
||||
corbardList_isotherm = [ref.corbard(n1, z, reduced_height=ref.H_isotherm(T)) * 3.6e3 for z in zenithRange]
|
||||
|
||||
# Plotting it all, with vertical lines where the variation between the models exceed 1, 0.1, 0.01 and 0.001 arcsec.
|
||||
fig = plt.figure(figsize=(11,6))
|
||||
ax = fig.add_subplot(111)
|
||||
ax.set_xlim([80,88])
|
||||
ax.set_xlabel('Zenith (degrees)')
|
||||
ax.set_ylabel('Refraction (arcsec)')
|
||||
ax.grid(True, alpha=0.3)
|
||||
|
||||
ax.plot(zenithRange, ppList, 'k-', label='Plane-parallel', alpha=0.2)
|
||||
ax.plot(zenithRange, cassiniList, 'g-', label='Cassini')
|
||||
ax.plot(zenithRange, tan5List, 'b-', label='$Atan(z) - Btan^3(z) + Ctan^5(z)$')
|
||||
ax.plot(zenithRange, orianiList, 'y-', label='$Atan(z) - Btan^3(z)$')
|
||||
ax.plot(zenithRange, corbardList, 'r-', label='Error function')
|
||||
ax.plot(zenithRange, fullIntegrationList, 'c-', label='Full integration')
|
||||
|
||||
ax.plot(zenithRange, cassiniList_isotherm, 'g--', label='Cassini (isotherm)')
|
||||
ax.plot(zenithRange, tan5List_isotherm, 'b--', label='$Atan(z) - Btan^3(z) + Ctan^5(z)$ (isotherm)')
|
||||
ax.plot(zenithRange, orianiList_isotherm, 'y--', label='$Atan(z) - Btan^3(z)$ (isotherm)')
|
||||
ax.plot(zenithRange, corbardList_isotherm, 'r--', label='Error function (isotherm)')
|
||||
|
||||
ax.legend()
|
||||
plt.tight_layout()
|
||||
plt.show()
|
||||
|
||||
|
||||
if tableCompare:
|
||||
refTableData = []
|
||||
dispTableData = []
|
||||
ref = refraction(lat, h, P, rho)
|
||||
disp = dispersion(lat, h, P, rho)
|
||||
zenithRange = [10, 30, 50, 60, 70, 80, 85]
|
||||
headerList = np.array(['z', 'Plane-parallel', 'Cassini', 'tan3', 'tan5', 'Error function', 'Full integration'])
|
||||
refTableData.append(headerList)
|
||||
dispTableData.append(headerList)
|
||||
|
||||
for z in zenithRange:
|
||||
ppValue = round(ref.planeParallel(n1, z) * 3.6e3, 3)
|
||||
cassiniValue = round(ref.cassini(n1, z) * 3.6e3, 3)
|
||||
tan3Value = round(ref.oriani(n1, z) * 3.6e3, 3)
|
||||
tan5Value = round(ref.tan5(n1, z) * 3.6e3, 3)
|
||||
erfValue = round(ref.corbard(n1, z) * 3.6e3, 3)
|
||||
fullIntValue = round(ref.refractionIntegral(n1, z) * 3.6e3, 3)
|
||||
refTableData.append([z, ppValue, cassiniValue, tan3Value, tan5Value, erfValue, fullIntValue])
|
||||
|
||||
ppValue = round(disp.planeParallel(n1, n2, z) * 3.6e6, 3)
|
||||
cassiniValue = round(disp.cassini(n1, n2, z) * 3.6e6, 3)
|
||||
tan3Value = round(disp.oriani(n1, n2, z) * 3.6e6, 3)
|
||||
tan5Value = round(disp.tan5(n1, n2, z) * 3.6e6, 3)
|
||||
erfValue = round(disp.corbard(n1, n2, z) * 3.6e6, 3)
|
||||
fullIntValue = round(disp.refractionIntegral(n1, n2, z) * 3.6e6, 3)
|
||||
dispTableData.append([z, ppValue, cassiniValue, tan3Value, tan5Value, erfValue, fullIntValue])
|
||||
|
||||
dfr = pd.DataFrame(np.asarray(refTableData))
|
||||
dfd = pd.DataFrame(np.asarray(dispTableData))
|
||||
print(dfr.to_string(index=False))
|
||||
print(dfd.to_string(index=False))
|
||||
|
||||
|
||||
Reference in new issue
Block a user