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Updated documentation, descriptions for v1.0 release.
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#!/usr/bin/env Python3
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import numpy as np
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import matplotlib.pyplot as plt
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from matplotlib.lines import Line2D
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from matplotlib import cm
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from matplotlib.colors import LogNorm
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import sys
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from AstroAtmosphere import *
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from scipy import interpolate
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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 uses the US Standard Atmosphere and perturbs it
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at several points. Then full integration is used to calculate
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the atmospheric dispersion. This is then compared to when we
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would have only used the atmospheric conditions directly at
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the observatory. This is done to assess whether we should
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monitor the weather at every height along the line of sight of
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the telescope.
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'''
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def perturbAtmosphere(h, Temp_perturbed, Press_perturbed):
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for _i in range(len(h)):
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if h[_i] >= 1.0 and h[_i] <= 2.0:
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Tnoise = np.random.normal(0,5,1)
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Temp_perturbed[_i] = Temp_perturbed[_i] + Tnoise
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Pnoise = np.random.normal(0,1000,1)
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Press_perturbed[_i] = Press_perturbed[_i] + Pnoise
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if h[_i] >= 7.0 and h[_i] <= 10.0:
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Tnoise = np.random.normal(0,5,1)
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Temp_perturbed[_i] = Temp_perturbed[_i] + Tnoise
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Pnoise = np.random.normal(0,500,1)
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Press_perturbed[_i] = Press_perturbed[_i] + Pnoise
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if h[_i] >= 25.0 and h[_i] <= 30.0:
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Tnoise = np.random.normal(0,10,1)
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Temp_perturbed[_i] = Temp_perturbed[_i] + Tnoise
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Pnoise = np.random.normal(0,250,1)
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Press_perturbed[_i] = Press_perturbed[_i] + Pnoise
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if h[_i] >= 50.0 and h[_i] <= 60.0:
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Tnoise = np.random.normal(0,15,1)
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Temp_perturbed[_i] = Temp_perturbed[_i] + Tnoise
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Pnoise = np.random.normal(0,4,1)
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Press_perturbed[_i] = Press_perturbed[_i] + Pnoise
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return Temp_perturbed, Press_perturbed
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plt.rc('font', family='serif')
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plt.rc('axes', labelsize='large')
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h, _, _, _, Temp, Press, Dens, vSound, _,_ = np.genfromtxt('si1py_modified.txt', unpack=True, skip_header=6)
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# Conditions at Cerro Armazones
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T = 288.15 # k
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P = 101324 # Pa
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H = 0.0
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xc = 314 # ppm
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lat = -24.5983 # degrees
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h0 = 0 # m
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l1 = 1.49 # micron
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l2 = 1.78 # micron
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zenith = 60 # degrees
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# Calculate the index of refraction
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at = Observatory()
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n1 = at.n_tph(l=l1, T=T, p=P, RH=H, xc=xc)
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n2 = at.n_tph(l=l2, T=T, p=P, RH=H, xc=xc)
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rho = at.rho(p=P, T=T, RH=H, xc=xc)
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refr = refraction(lat, h0)
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refr.setReducedHeight(P, rho)
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disp = dispersion(lat, h0)
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disp.setReducedHeight(P, rho)
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# We must create a cube of weather data:
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# We assume a flat atmosphere for now, so that h does not need to be adjusted
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# x_max = 200 km, gives zenith_max = ~66.7 degrees
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# Every 20 km in horizontal direction a new perturbation and interpolation
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# for every 500 m.
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x_max = 200 # km
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Temp_cube = []
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Press_cube = []
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Temp_cube_n = []
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Press_cube_n = []
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Temp_cube.append(Temp)
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Press_cube.append(Press)
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Temp_cube_n.append(Temp)
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Press_cube_n.append(Press)
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for x in range(int(x_max/(2))):
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# Adding noise
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# 1-2 km: 2 degree noise, 100 Pa noise
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# 7-10 km: 3 degree noise, 150 Pa noise
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# 25-30 km: 5 degree noise, 250 Pa noise
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Temp_perturbed = Temp.copy()
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Press_perturbed = Press.copy()
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Temp_perturbed, Press_perturbed = perturbAtmosphere(h, Temp_perturbed, Press_perturbed)
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Temp_cube.append(Temp_perturbed)
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Press_cube.append(Press_perturbed)
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Temp_cube_n.append(Temp)
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Press_cube_n.append(Press)
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f_Temp_n = interpolate.interp1d(np.linspace(0,x_max, int(x_max/2)+1), Temp_cube_n, axis=0)
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f_Press_n = interpolate.interp1d(np.linspace(0,x_max, int(x_max/2)+1), Press_cube_n, axis=0)
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f_Temp = interpolate.interp1d(np.linspace(0,x_max, int(x_max/2)+1), Temp_cube, axis=0)
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f_Press = interpolate.interp1d(np.linspace(0,x_max, int(x_max/2)+1), Press_cube, axis=0)
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Temp_interpolated_n = f_Temp_n(np.linspace(0,x_max, int(x_max/0.5)+1) )
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Press_interpolated_n = f_Press_n(np.linspace(0,x_max, int(x_max/0.5)+1) )
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Temp_interpolated = f_Temp(np.linspace(0,x_max, int(x_max/0.5)+1) )
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Press_interpolated = f_Press(np.linspace(0,x_max, int(x_max/0.5)+1) )
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x, y = np.mgrid[0:200:(int(x_max/0.5)+1)*1j, 0:np.max(h):len(h)*1j]
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fig = plt.figure()
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ax1 = fig.add_subplot(211)
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im = ax1.pcolor(x,y, Temp_interpolated, cmap=cm.coolwarm)
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fig.colorbar(im, ax=ax1, label='Temperature (K)')
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ax1.set_aspect(1)
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ax1.set_ylabel('Height (km)')
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ax2 = fig.add_subplot(212)
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im2 = ax2.pcolor(x,y, Press_interpolated, cmap=cm.coolwarm, norm=LogNorm())
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ax2.set_aspect(1)
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ax2.set_xlabel('Horizontal distance (km)')
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ax2.set_ylabel('Height (km)')
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fig.colorbar(im2, ax=ax2, label='Pressure (Pa)')
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plt.tight_layout()
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plt.savefig('2d_atmosphere.png', bbox_inches='tight')
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plt.savefig('2d_atmosphere.pdf', bbox_inches='tight')
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plt.show(block=False)
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# Now for a given zenith angle we need to find the temp and press along the line of sight
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x = np.linspace(0,200,(int(x_max/0.5)+1))
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y = h
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f_Temp_2d_n = interpolate.interp2d(y,x,Temp_interpolated_n, kind='linear')
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f_Press_2d_n = interpolate.interp2d(y,x,Press_interpolated_n, kind='linear')
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f_Temp_2d = interpolate.interp2d(y,x,Temp_interpolated, kind='linear')
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f_Press_2d = interpolate.interp2d(y,x,Press_interpolated, kind='linear')
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fig2 = plt.figure()
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ax = fig2.add_subplot(121)
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ax.grid(True, alpha=0.3)
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ax.plot(Temp, h, 'k-')
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ax2 = fig2.add_subplot(122)
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ax2.grid(True, alpha=0.3)
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ax2.plot(Press, h, 'k-')
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zenithRange = np.linspace(30,65,100)
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refrDiff, dispDiff = [], []
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for zenith in zenithRange:
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z = np.deg2rad(zenith)
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y_los = np.linspace(0, 86, len(h))
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x_los = np.linspace(0, 86*np.tan(z), len(h))
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Temp_los, Press_los = [], []
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Temp_los_n, Press_los_n = [], []
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for i in range(len(h)):
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Temp_los.append(f_Temp_2d(y_los[i], x_los[i])[0])
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Press_los.append(f_Press_2d(y_los[i], x_los[i])[0])
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Temp_los_n.append(f_Temp_2d_n(y_los[i], x_los[i])[0])
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Press_los_n.append(f_Press_2d_n(y_los[i], x_los[i])[0])
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Temp_los = np.asarray(Temp_los)
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Press_los = np.asarray(Press_los)
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Temp_los_n = np.asarray(Temp_los_n)
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Press_los_n = np.asarray(Press_los_n)
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rho_los = at.rho(p=Press_los, T=Temp_los, RH=H, xc=xc)
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rho_los_n = at.rho(p=Press_los_n, T=Temp_los_n, RH=H, xc=xc)
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ax.plot(Temp_los, h, label='z=%i' %zenith)
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ax2.plot(Press_los, h, label='z=%i' %zenith)
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refrInt = refr.refractionIntegral(n1, z, useStandardAtmosphere=False, heightData=h, rhoData=rho_los_n)*3600*1000
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refrInt_pert = refr.refractionIntegral(n1, z, useStandardAtmosphere=False, heightData=h, rhoData=rho_los)*3600*1000
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refrDiff.append(refrInt_pert - refrInt)
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dispInt = disp.refractionIntegral(n1, n2, z, useStandardAtmosphere=False, heightData=h, rhoData=rho_los_n)*3.6e6
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dispInt_pert = disp.refractionIntegral(n1, n2, z, useStandardAtmosphere=False, heightData=h, rhoData=rho_los)*3.6e6
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dispDiff.append(dispInt_pert - dispInt)
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ax.legend()
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ax2.legend()
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# fig3 = plt.figure()
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# ax1 = fig3.add_subplot(211)
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# ax2 = fig3.add_subplot(212)
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# ax1.tick_params(axis ='both', direction='in')
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# ax2.tick_params(axis ='both', direction='in')
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# ax1.grid(True, alpha=0.3)
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# ax2.grid(True, alpha=0.3)
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# ax1.semilogy(zenithRange, np.abs(refrDiff), 'k-')
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# ax2.semilogy(zenithRange, np.abs(dispDiff), 'k-')
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# ax1.set_xlabel('Zenith (degrees)')
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# ax2.set_xlabel('Zenith (degrees)')
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# ax1.set_ylabel('|$R_{p} - R_{SA}$| (mas)')
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# ax2.set_ylabel('|$\Delta R_{p} - \Delta R_{SA}$| (mas)')
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# plt.tight_layout()
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# plt.savefig('differential_USSA_for_different_z.png', bbox_inches='tight')
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# plt.savefig('differential_USSA_for_different_z.pdf', bbox_inches='tight')
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# plt.show()
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fig3 = plt.figure(figsize=(9,7))
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ax1 = fig3.add_subplot(211)
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ax2 = fig3.add_subplot(212)
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ax1.tick_params(axis ='both', direction='in', which='both', labelsize=16)
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ax2.tick_params(axis ='both', direction='in', which='both', labelsize=16)
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ax1.grid(True, alpha=0.3)
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ax2.grid(True, alpha=0.3)
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ax1.plot(zenithRange, np.log10(np.abs(refrDiff)), 'k-', linewidth=2)
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ax2.plot(zenithRange, np.log10(np.abs(dispDiff)), 'k-', linewidth=2)
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ax1.set_xlabel('Zenith (degrees)', fontsize=18)
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ax2.set_xlabel('Zenith (degrees)', fontsize=18)
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ax1.set_ylabel('$\log_{10}($|$R - R_{o}$|$)$ (mas)', fontsize=18)
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ax2.set_ylabel('$\log_{10}($|$\Delta R - \Delta R_{o}$|$)$ (mas)', fontsize=18)
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plt.tight_layout()
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# plt.savefig('differential_USSA_for_different_z.png', bbox_inches='tight')
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# plt.savefig('differential_USSA_for_different_z.pdf', bbox_inches='tight')
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plt.show()
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# Comparison of different air columns.
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