Functions releated to calculation of refractive index. More...

#include <cmath>
#include "auto_md.h"
#include "complex.h"
#include "interpolation.h"
#include "geodetic.h"
#include "refraction.h"
#include "special_interp.h"

Include dependency graph for refraction.cc:

Go to the source code of this file.

Functions
void	complex_n_water_liebe93 (Matrix &complex_n, const Vector &f_grid, const Numeric &t)
	complex_n_water_liebe93 More...

void	get_refr_index_1d (Workspace &ws, Numeric &refr_index_air, Numeric &refr_index_air_group, const Agenda &refr_index_air_agenda, ConstVectorView p_grid, ConstVectorView refellipsoid, ConstTensor3View z_field, ConstTensor3View t_field, ConstTensor4View vmr_field, ConstVectorView f_grid, const Numeric &r)
	get_refr_index_1d More...

void	get_refr_index_2d (Workspace &ws, Numeric &refr_index_air, Numeric &refr_index_air_group, const Agenda &refr_index_air_agenda, ConstVectorView p_grid, ConstVectorView lat_grid, ConstVectorView refellipsoid, ConstTensor3View z_field, ConstTensor3View t_field, ConstTensor4View vmr_field, ConstVectorView f_grid, const Numeric &r, const Numeric &lat)
	get_refr_index_2d More...

void	get_refr_index_3d (Workspace &ws, Numeric &refr_index_air, Numeric &refr_index_air_group, const Agenda &refr_index_air_agenda, ConstVectorView p_grid, ConstVectorView lat_grid, ConstVectorView lon_grid, ConstVectorView refellipsoid, ConstTensor3View z_field, ConstTensor3View t_field, ConstTensor4View vmr_field, ConstVectorView f_grid, const Numeric &r, const Numeric &lat, const Numeric &lon)

void	refr_gradients_1d (Workspace &ws, Numeric &refr_index_air, Numeric &refr_index_air_group, Numeric &dndr, const Agenda &refr_index_air_agenda, ConstVectorView p_grid, ConstVectorView refellipsoid, ConstTensor3View z_field, ConstTensor3View t_field, ConstTensor4View vmr_field, ConstVectorView f_grid, const Numeric &r)
	refr_gradients_1d More...

void	refr_gradients_2d (Workspace &ws, Numeric &refr_index_air, Numeric &refr_index_air_group, Numeric &dndr, Numeric &dndlat, const Agenda &refr_index_air_agenda, ConstVectorView p_grid, ConstVectorView lat_grid, ConstVectorView refellipsoid, ConstTensor3View z_field, ConstTensor3View t_field, ConstTensor4View vmr_field, ConstVectorView f_grid, const Numeric &r, const Numeric &lat)
	refr_gradients_2d More...

void	refr_gradients_3d (Workspace &ws, Numeric &refr_index_air, Numeric &refr_index_air_group, Numeric &dndr, Numeric &dndlat, Numeric &dndlon, const Agenda &refr_index_air_agenda, ConstVectorView p_grid, ConstVectorView lat_grid, ConstVectorView lon_grid, ConstVectorView refellipsoid, ConstTensor3View z_field, ConstTensor3View t_field, ConstTensor4View vmr_field, ConstVectorView f_grid, const Numeric &r, const Numeric &lat, const Numeric &lon)
	refr_gradients_3d More...

Variables
const Numeric	DEG2RAD

const Numeric	RAD2DEG

const Numeric	TEMP_0_C

Detailed Description

Functions releated to calculation of refractive index.

Author: Patrick Eriksson Patri.nosp@m.ck.E.nosp@m.rikss.nosp@m.on@c.nosp@m.halme.nosp@m.rs.s.nosp@m.e

Date: 2003-01-17

Definition in file refraction.cc.

Function Documentation

◆ complex_n_water_liebe93()

void complex_n_water_liebe93	(	Matrix &	complex_n,
		const Vector &	f_grid,
		const Numeric &	t
	)

complex_n_water_liebe93

Complex refractive index of liquid water according to Liebe 1993.

The method treats liquid water without salt. Thus, not valid below 10 GHz. Upper frequency limit not known, here set to 1000 GHz. Model parameters taken from Atmlab function epswater93 (by C. Maetzler), which refer to Liebe 1993 without closer specifications.

Temperature must be between 0 and 100 degrees Celsius.

The output matrix has two columns, where column 0 is real part and column 1 is imaginary part. And rows matches f_grid.

Parameters

complex_n	Out: Complex refractive index.
f_grid	As the WSV with the same name.
t	Temperature

Author: Patrick Eriksson

Date: 2003-08-15

Definition at line 78 of file refraction.cc.

References chk_if_in_range(), max, min, ConstVectorView::nelem(), Matrix::resize(), and TEMP_0_C.

Referenced by complex_refr_indexWaterLiebe93(), and iyCloudRadar().

◆ get_refr_index_1d()

void get_refr_index_1d	(	Workspace &	ws,
		Numeric &	refr_index_air,
		Numeric &	refr_index_air_group,
		const Agenda &	refr_index_air_agenda,
		ConstVectorView	p_grid,
		ConstVectorView	refellipsoid,
		ConstTensor3View	z_field,
		ConstTensor3View	t_field,
		ConstTensor4View	vmr_field,
		ConstVectorView	f_grid,
		const Numeric &	r
	)

get_refr_index_1d

Extracts the refractive index for 1D cases.

The function interpolates the atmospheric pressure and fields, and calls refr_index_air_agenda to determine the refractive index for the given point.

The atmosphere is given by its 1D view. That is, the latitude and longitude dimensions are removed from the atmospheric fields. For example, the temperature is given as a vector (the vertical profile).

Parameters

ws	Current Workspace
refr_index_air	Output: As the WSV with the same name.
refr_index_air_group	Output: As the WSV with the same name.
refr_index_air_agenda	As the WSV with the same name.
p_grid	As the WSV with the same name.
refellipsoid	As the WSV with the same name.
z_field	As the WSV with the same name.
t_field	As the WSV with the same name.
vmr_field	As the WSV with the same name.
f_grid	As the WSV with the same name.
r	The radius of the position of interest.

Author: Patrick Eriksson

Date: 2003-01-16

Definition at line 141 of file refraction.cc.

References gridpos(), interp(), interpweights(), itw2p(), joker, ConstTensor4View::nbooks(), ns, refr_index_air_agendaExecute(), and Vector::resize().

Referenced by ppath_step_refr_1d(), ppath_stepRefractionBasic(), raytrace_1d_linear_basic(), refr_gradients_1d(), and VectorZtanToZaRefr1D().

◆ get_refr_index_2d()

void get_refr_index_2d	(	Workspace &	ws,
		Numeric &	refr_index_air,
		Numeric &	refr_index_air_group,
		const Agenda &	refr_index_air_agenda,
		ConstVectorView	p_grid,
		ConstVectorView	lat_grid,
		ConstVectorView	refellipsoid,
		ConstTensor3View	z_field,
		ConstTensor3View	t_field,
		ConstTensor4View	vmr_field,
		ConstVectorView	f_grid,
		const Numeric &	r,
		const Numeric &	lat
	)

get_refr_index_2d

Extracts the refractive index for 2D cases.

The function interpolates the atmospheric pressure and fields, and calls refr_index_air_agenda to determine the refractive index for the given point.

The atmosphere is given by its 2D view. That is, the longitude dimension is removed from the atmospheric fields. For example, the temperature is given as a matrix.

Parameters

ws	Current Workspace
refr_index_air	Output: As the WSV with the same name.
refr_index_air_group	Output: As the WSV with the same name.
refr_index_air_agenda	As the WSV with the same name.
p_grid	As the WSV with the same name.
lat_grid	As the WSV with the same name.
refellipsoid	As the WSV with the same name.
z_field	As the WSV with the same name.
t_field	As the WSV with the same name.
vmr_field	As the WSV with the same name.
f_grid	As the WSV with the same name.
r	The radius of the position of interest.
lat	The latitude of the position of interest.

Author: Patrick Eriksson

Date: 2003-01-14

Definition at line 221 of file refraction.cc.

References gridpos(), interp(), interpweights(), itw2p(), joker, ConstTensor4View::nbooks(), ConstVectorView::nelem(), ns, refell2d(), refr_index_air_agendaExecute(), Vector::resize(), Matrix::resize(), and z_at_lat_2d().

Referenced by ppath_stepRefractionBasic(), raytrace_2d_linear_basic(), and refr_gradients_2d().

◆ get_refr_index_3d()

void get_refr_index_3d	(	Workspace &	ws,
		Numeric &	refr_index_air,
		Numeric &	refr_index_air_group,
		const Agenda &	refr_index_air_agenda,
		ConstVectorView	p_grid,
		ConstVectorView	lat_grid,
		ConstVectorView	lon_grid,
		ConstVectorView	refellipsoid,
		ConstTensor3View	z_field,
		ConstTensor3View	t_field,
		ConstTensor4View	vmr_field,
		ConstVectorView	f_grid,
		const Numeric &	r,
		const Numeric &	lat,
		const Numeric &	lon
	)

get_refr_index_3d

Extracts the refractive index for 3D cases.

The function interpolates the atmospheric pressure and fields, and calls refr_index_air_agenda to determine the refractive index for the given point.

Parameters

ws	Current Workspace
refr_index_air	Output: As the WSV with the same name.
refr_index_air_group	Output: As the WSV with the same name.
refr_index_air_agenda	As the WSV with the same name.
p_grid	As the WSV with the same name.
lat_grid	As the WSV with the same name.
lon_grid	As the WSV with the same name.
refellipsoid	As the WSV with the same name.
z_field	As the WSV with the same name.
t_field	As the WSV with the same name.
vmr_field	As the WSV with the same name.
f_grid	As the WSV with the same name.
r	The radius of the position of interest.
lat	The latitude of the position of interest.
lon	The longitude of the position of interest.

Author: Patrick Eriksson

Date: 2003-01-17

Definition at line 315 of file refraction.cc.

References gridpos(), interp(), interpweights(), itw2p(), joker, ConstTensor4View::nbooks(), ConstVectorView::nelem(), ns, refell2d(), refr_index_air_agendaExecute(), Vector::resize(), Matrix::resize(), and z_at_latlon().

Referenced by ppath_stepRefractionBasic(), raytrace_3d_linear_basic(), and refr_gradients_3d().

◆ refr_gradients_1d()

void refr_gradients_1d	(	Workspace &	ws,
		Numeric &	refr_index_air,
		Numeric &	refr_index_air_group,
		Numeric &	dndr,
		const Agenda &	refr_index_air_agenda,
		ConstVectorView	p_grid,
		ConstVectorView	refellipsoid,
		ConstTensor3View	z_field,
		ConstTensor3View	t_field,
		ConstTensor4View	vmr_field,
		ConstVectorView	f_grid,
		const Numeric &	r
	)

refr_gradients_1d

Determines the refractive index, and its gradients, for the given position.

The gradients are calculated in pure numerical way. That is, the refractive index is calculated for slightly shifted radius or latitude and the difference to the refractive index at the given point determines the gradient.

Parameters

ws	Current Workspace
refr_index_air	Output: As the WSV with the same name.
refr_index_air_group	Output: As the WSV with the same name.
dndr	Output: Radial gradient of refractive index.
refr_index_air_agenda	As the WSV with the same name.
p_grid	As the WSV with the same name.
refellipsoid	As the WSV with the same name.
z_field	As the WSV with the same name.
t_field	As the WSV with the same name.
vmr_field	As the WSV with the same name.
f_grid	As the WSV with the same name.
r	The radius of the position of interest.
lat	The latitude of the position of interest.

Author: Patrick Eriksson

Date: 2003-01-14

Definition at line 412 of file refraction.cc.

References get_refr_index_1d().

Referenced by raytrace_1d_linear_basic().

◆ refr_gradients_2d()

void refr_gradients_2d	(	Workspace &	ws,
		Numeric &	refr_index_air,
		Numeric &	refr_index_air_group,
		Numeric &	dndr,
		Numeric &	dndlat,
		const Agenda &	refr_index_air_agenda,
		ConstVectorView	p_grid,
		ConstVectorView	lat_grid,
		ConstVectorView	refellipsoid,
		ConstTensor3View	z_field,
		ConstTensor3View	t_field,
		ConstTensor4View	vmr_field,
		ConstVectorView	f_grid,
		const Numeric &	r,
		const Numeric &	lat
	)

refr_gradients_2d

Determines the refractive index, and its gradients, for the given position.

The gradients are calculated in pure numerical way. That is, the refractive index is calculated for slightly shifted radius or latitude and the difference to the refractive index at the given point determines the gradient.

The latitude gradient is scaled with the radius to obtain the same unit ([1/m]) for both gradients. That is, the returned value is the change of the refractive index for a movement of 1m in the latitude direction.

Parameters

ws	Current Workspace
refr_index_air	Output: As the WSV with the same name.
refr_index_air_group	Output: As the WSV with the same name.
dndr	Output: Radial gradient of refractive index.
dndlat	Output: Latitude gradient of refractive index.
refr_index_air_agenda	As the WSV with the same name.
p_grid	As the WSV with the same name.
lat_grid	As the WSV with the same name.
refellipsoid	As the WSV with the same name.
z_field	As the WSV with the same name.
t_field	As the WSV with the same name.
vmr_field	As the WSV with the same name.
f_grid	As the WSV with the same name.
r	The radius of the position of interest.
lat	The latitude of the position of interest.

Author: Patrick Eriksson

Date: 2003-01-14

Definition at line 477 of file refraction.cc.

References DEG2RAD, and get_refr_index_2d().

Referenced by raytrace_2d_linear_basic().

◆ refr_gradients_3d()

void refr_gradients_3d	(	Workspace &	ws,
		Numeric &	refr_index_air,
		Numeric &	refr_index_air_group,
		Numeric &	dndr,
		Numeric &	dndlat,
		Numeric &	dndlon,
		const Agenda &	refr_index_air_agenda,
		ConstVectorView	p_grid,
		ConstVectorView	lat_grid,
		ConstVectorView	lon_grid,
		ConstVectorView	refellipsoid,
		ConstTensor3View	z_field,
		ConstTensor3View	t_field,
		ConstTensor4View	vmr_field,
		ConstVectorView	f_grid,
		const Numeric &	r,
		const Numeric &	lat,
		const Numeric &	lon
	)

refr_gradients_3d

Determines the refractive index, and its gradients, for the given position.

The gradients are calculated in pure numerical way. That is, the refractive index is calculated for slightly shifted radius, latitude or longitude and the difference to the refractive index at the given point determines the gradient.

The latitude and longitude gradients are scaled with the (effective) radius to obtain the same unit ([1/m]) for all gradients. That is, the returned values are the change of the refractive index for a movement of 1m in the latitude or longitude direction.

Parameters

ws	Current Workspace
refr_index_air	Output: As the WSV with the same name.
refr_index_air_group	Output: As the WSV with the same name.
dndr	Output: Radial gradient of refractive index.
dndlat	Output: Latitude gradient of refractive index.
dndlon	Output: Longitude gradient of refractive index.
refr_index_air_agenda	As the WSV with the same name.
p_grid	As the WSV with the same name.
lat_grid	As the WSV with the same name.
lon_grid	As the WSV with the same name.
refellipsoid	As the WSV with the same name.
z_field	As the WSV with the same name.
t_field	As the WSV with the same name.
vmr_field	As the WSV with the same name.
f_grid	As the WSV with the same name.
r	The radius of the position of interest.
lat	The latitude of the position of interest.
lon	The longitude of the position of interest.

Author: Patrick Eriksson

Date: 2003-01-17

Definition at line 557 of file refraction.cc.

References DEG2RAD, and get_refr_index_3d().

Referenced by raytrace_3d_linear_basic().

Variable Documentation

◆ DEG2RAD

const Numeric DEG2RAD

Referenced by refr_gradients_2d(), and refr_gradients_3d().

◆ RAD2DEG

const Numeric RAD2DEG

◆ TEMP_0_C

const Numeric TEMP_0_C

Referenced by complex_n_water_liebe93().

Functions

Variables

Detailed Description

Function Documentation

◆ complex_n_water_liebe93()

◆ get_refr_index_1d()

◆ get_refr_index_2d()

◆ get_refr_index_3d()

◆ refr_gradients_1d()

◆ refr_gradients_2d()

◆ refr_gradients_3d()

Variable Documentation

◆ DEG2RAD

◆ RAD2DEG

◆ TEMP_0_C