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Refactored some variable names and updated descriptions
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@@ -38,39 +38,45 @@ class refraction(Observatory):
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Methods
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-------
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setReducedHeight(p, rho)
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Sets the reduced atmospheric height.
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planeParallel(n1, n2, zenith)
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Returns the atmospheric refraction assuming a plane parallel
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atmosphere
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cassini(n1, n2, zenith, reduced_height=None)
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Returns the atmospheric refraction asusming Cassini's homegeneous
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atmosphere model
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tan5(n1, n2, zenith, reduced_height=None)
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Returns the atmospheric refraction following Oriani's theorem,
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including a fifth order term in the expansion.
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oriani(n1, n2, zenith, reduced_height=None)
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Returns the atmospheric refraction following the classic version
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of Oriani's theorem.
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corbard(n1, n2, zenith, reduced_height=None)
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Returns the atmospheric refraction following the method described
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in Corbard et al., 2019.
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refractionIntegral(n1, n2, z0, R0=None, useStandardAtmosphere=True, heightData=None, rhoData=None)
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Returns the atmospheric refraction following the refraction integral.
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psi(x)
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Submethod for corbard()
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set_rc()
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Sets the local radius of curvature of the Earth at the observer.
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set_H(p, rho)
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Sets the reduced height for the conditions at the observer, assuming
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an adiabatic atmosphere.
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H_isotherm(T)
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Sets the reduced height for the conditions at the observer, assuming
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an isothermal atmosphere.
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Returns the atmospheric refraction assuming Cassini's homegeneous
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atmosphere model.
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cassiniError(z, l1, l2, T, p, RH, xc, dl1=0, dl2=0, dT=0.2, dP=20,
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dRH=0.02, dCO2=20, dz=0, lat=None, h=None)
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Returns the uncertainty in the atmospheric refraction, assuming
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Cassini's homegeneous atmosphere model and the given parameters.
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Cassini's homegeneous atmosphere model and the given parameters.
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corbard(n1, n2, zenith, reduced_height=None)
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Returns the atmospheric refraction following the method described
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in Corbard et al., 2019.
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gammaCoefficients(n1, reduced_height=None)
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Helper function for matharExponential(), that calculates the gamma
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coefficients.
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H_isotherm(T)
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Sets the reduced height for the conditions at the observer, assuming
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an isothermal atmosphere.
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matharExponential(n1, zenith, reduced_height=None)
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Returns the atmospheric refraction assuming Mathar's barometric
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exponential model.
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oriani(n1, n2, zenith, reduced_height=None)
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Returns the atmospheric refraction following the classic version
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of Oriani's theorem.
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planeParallel(n1, n2, zenith)
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Returns the atmospheric refraction assuming a plane parallel
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atmosphere.
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psi(x)
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Submethod for corbard().
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refractionIntegral(n1, n2, zenith, R0=None, useStandardAtmosphere=True, heightData=None, rhoData=None)
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Returns the atmospheric refraction following the refraction integral.
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setReducedHeight(p, rho)
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Sets the reduced atmospheric height.
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set_H(p, rho)
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Sets the reduced height for the conditions at the observer, assuming
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an adiabatic atmosphere.
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set_rc()
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Sets the local radius of curvature of the Earth at the observer.
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tan5(n1, n2, zenith, reduced_height=None)
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Returns the atmospheric refraction following Oriani's theorem,
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including a fifth order term in the expansion.
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Other Observatory() methods
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'''
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def __init__(self, lat, h):
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@@ -141,13 +147,13 @@ class refraction(Observatory):
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else:
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_H = self.H
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_zenith = np.deg2rad(zenith)
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_dz = np.deg2rad(dz)
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_R = self.rc
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_dRdn = (_R * np.sin(_zenith)) / ((_R + _H) * np.sqrt(1 - ((n**2 * _R**2 * np.sin(_zenith)**2)/(_R + _H)**2)))
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_dz = np.deg2rad(dz)
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_R = self.rc
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_dRdn = (_R * np.sin(_zenith)) / ((_R + _H) * np.sqrt(1 - ((n**2 * _R**2 * np.sin(_zenith)**2)/(_R + _H)**2)))
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_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) )
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_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) )
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_dR = np.sqrt( (_dRdn * dn)**2 + (_dRdz * _dz)**2)
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_dR = np.sqrt( (_dRdn * dn)**2 + (_dRdz * _dz)**2)
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return np.degrees(_dR)
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@@ -185,14 +191,14 @@ class refraction(Observatory):
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return np.degrees(_R)
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def gammaCoefficients(self, n0, reduced_height=None):
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def gammaCoefficients(self, n1, reduced_height=None):
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'''
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Submethod for matharExponential(). Calculates the gamma
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coefficients.
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Parameters
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----------
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n0 : float
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n1 : float
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Refractive index at the wavelength of interest at the observer
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reduced_height : float (optional)
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Reduced height of the atmosphere. Default value is calculated
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@@ -210,7 +216,7 @@ class refraction(Observatory):
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else:
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H = self.H
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_chi0 = n0**2 - 1
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_chi0 = n1**2 - 1
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_Khat = H / self.rc
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_g1 = (1 - 5/24 * _Khat * _chi0**2 - 3/4 * _chi0 - 3/8 * _Khat**2 * _chi0 \
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@@ -249,7 +255,7 @@ class refraction(Observatory):
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* _chi0**2 - 180 * _Khat**3 * _chi0 - 9/5 * _Khat * _chi0**4) * 35/128
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g = np.array([_g1, _g3, _g5, _g7, _g9])
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g*= n0*_chi0/2
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g*= n1*_chi0/2
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return g
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@@ -408,7 +414,7 @@ class refraction(Observatory):
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return np.exp(x**2) * _int[0]
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def refractionIntegral(self, n1, z0, R0=None, useStandardAtmosphere=True,
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def refractionIntegral(self, n1, zenith, R0=None, useStandardAtmosphere=True,
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heightData=None, rhoData=None):
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'''
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Using data that gives temperature, pressure and density as a
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@@ -425,7 +431,7 @@ class refraction(Observatory):
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----------
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n1 : float
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Refractive index at the wavelength of interest
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z0 : float
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zenith : float
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Angle of observation in degrees.
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zenith = 0 means the observation is directly overhead.
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R0 : float (optional)
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@@ -457,7 +463,7 @@ class refraction(Observatory):
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_Dens = rhoData
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_h = heightData
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z0 = np.deg2rad(z0)
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zenith = np.deg2rad(zenith)
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_Dens = np.asarray(_Dens)
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_h = np.asarray(_h)
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_R = R0 + _h * 1000
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@@ -466,7 +472,7 @@ class refraction(Observatory):
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_n_h = 1 + (n0 - 1) / _Dens[0] * _Dens
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# Calculation of the zenith angle for given height and refractive index, from the refractive invariant
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_z = np.arcsin( (n0 * R0) / (_n_h * _R) * np.sin(z0) )
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_z = np.arcsin( (n0 * R0) / (_n_h * _R) * np.sin(zenith) )
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# Calculation of log space derivative of n and r
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_lnn = np.log(_n_h)
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