Stuff related to the propagation matrix. More...

#include "matpack_complex.h"
#include "matpackIV.h"

Classes
class	LazyScale< base >
	Class to help with hidden temporary variables for operations of type Numeric times Class. More...

class	PropagationMatrix

class	StokesVector
	Stokes vector is as Propagation matrix but only has 4 possible values. More...

Macros
#define	a vec[0]

#define	b vec[1]

#define	c vec[2]

#define	d vec[3]

#define	u vec[N]

#define	v vec[5]

#define	w vec[6]

#define	a vec[0]

#define	b vec[1]

#define	c vec[2]

#define	d vec[3]

#define	u vec[N]

#define	v vec[5]

#define	w vec[6]

Typedefs
using	ArrayOfPropagationMatrix = Array< PropagationMatrix >

using	ArrayOfArrayOfPropagationMatrix = Array< ArrayOfPropagationMatrix >

using	ArrayOfStokesVector = Array< StokesVector >

using	ArrayOfArrayOfStokesVector = Array< ArrayOfStokesVector >

using	ArrayOfArrayOfArrayOfStokesVector = Array< ArrayOfArrayOfStokesVector >

Functions
template<int N>
Eigen::Matrix< Numeric, N, N >	prop_matrix (const ConstVectorView &vec)

template<int N>
Eigen::Matrix< Numeric, N, N >	prop_matrix (const ConstMatrixView &m)

template<int N>
Eigen::Matrix< Numeric, N, N >	inv_prop_matrix (const ConstVectorView &vec)

template<bool matrix>
constexpr Index	need2stokes (Index nstokes_needed)

template<bool matrix>
constexpr Index	stokes2need (Index nstokes)

void	compute_transmission_matrix (Tensor3View T, const Numeric &r, const PropagationMatrix &upper_level, const PropagationMatrix &lower_level, const Index iz=0, const Index ia=0)
	Compute the matrix exponent as the transmission matrix of this propagation matrix. More...

void	compute_transmission_matrix_from_averaged_matrix_at_frequency (MatrixView T, const Numeric &r, const PropagationMatrix &averaged_propagation_matrix, const Index iv, const Index iz=0, const Index ia=0)
	Compute the matrix exponent as the transmission matrix of this propagation matrix. More...

void	compute_transmission_matrix_and_derivative (Tensor3View T, Tensor4View dT_upper_level, Tensor4View dT_lower_level, const Numeric &r, const PropagationMatrix &upper_level, const PropagationMatrix &lower_level, const Array< PropagationMatrix > &dprop_mat_upper_level, const Array< PropagationMatrix > &dprop_mat_lower_level, const Numeric &dr_dTu=0.0, const Numeric &dr_dTl=0.0, const Index it=-1, const Index iz=0, const Index ia=0)

std::ostream &	operator<< (std::ostream &os, const PropagationMatrix &pm)
	output operator More...

std::ostream &	operator<< (std::ostream &os, const ArrayOfPropagationMatrix &apm)
	output operator More...

std::ostream &	operator<< (std::ostream &os, const ArrayOfArrayOfPropagationMatrix &aapm)
	output operator More...

std::ostream &	operator<< (std::ostream &os, const StokesVector &pm)

std::ostream &	operator<< (std::ostream &os, const ArrayOfStokesVector &apm)

std::ostream &	operator<< (std::ostream &os, const ArrayOfArrayOfStokesVector &aapm)

LazyScale< PropagationMatrix >	operator* (const PropagationMatrix &pm, const Numeric &x)
	Returns a lazy multiplier. More...

LazyScale< PropagationMatrix >	operator* (const Numeric &x, const PropagationMatrix &pm)
	Returns a lazy multiplier. More...

template<class T >
bool	bad_propmat (const Array< T > &main, const Vector &f_grid, const Index sd=1) noexcept
	Checks if a Propagation Matrix or something similar has good grids. More...

Detailed Description

Stuff related to the propagation matrix.

Author: Richard Larsson

Date: 2017-06-23

This implementation takes advantage of symmetries to lower memory and computational costs

Some standard functions applied on the propagation matrix have been included but far from all.

Present support is for stokes dim 1-4 however please take note that circular polarization delay variable's position in the internal mdata structure moves depending on if stokes_dim is 3 or 4. It is not present elsewhere...

Definition in file propagationmatrix.h.

Macro Definition Documentation

◆ a [1/2]

#define a vec[0]

◆ a [2/2]

#define a vec[0]

◆ b [1/2]

#define b vec[1]

◆ b [2/2]

#define b vec[1]

◆ c [1/2]

#define c vec[2]

◆ c [2/2]

#define c vec[2]

◆ d [1/2]

#define d vec[3]

◆ d [2/2]

#define d vec[3]

◆ u [1/2]

#define u vec[N]

◆ u [2/2]

#define u vec[N]

◆ v [1/2]

#define v vec[5]

◆ v [2/2]

#define v vec[5]

◆ w [1/2]

#define w vec[6]

◆ w [2/2]

#define w vec[6]

Typedef Documentation

◆ ArrayOfArrayOfArrayOfStokesVector

using ArrayOfArrayOfArrayOfStokesVector = Array<ArrayOfArrayOfStokesVector>

Definition at line 1472 of file propagationmatrix.h.

◆ ArrayOfArrayOfPropagationMatrix

using ArrayOfArrayOfPropagationMatrix = Array<ArrayOfPropagationMatrix>

Definition at line 1085 of file propagationmatrix.h.

◆ ArrayOfArrayOfStokesVector

using ArrayOfArrayOfStokesVector = Array<ArrayOfStokesVector>

Definition at line 1471 of file propagationmatrix.h.

◆ ArrayOfPropagationMatrix

using ArrayOfPropagationMatrix = Array<PropagationMatrix>

Definition at line 1084 of file propagationmatrix.h.

◆ ArrayOfStokesVector

using ArrayOfStokesVector = Array<StokesVector>

Definition at line 1470 of file propagationmatrix.h.

Function Documentation

◆ bad_propmat()

template<class T >

bool bad_propmat	(	const Array< T > &	main,
		const Vector &	f_grid,
		const Index	sd = `1`
	)

noexcept

Checks if a Propagation Matrix or something similar has good grids.

Definition at line 1504 of file propagationmatrix.h.

References main(), ConstVectorView::nelem(), and Raw::Average::var().

Referenced by propmat_clearskyAddLines(), and zeeman_on_the_fly().

◆ compute_transmission_matrix()

void compute_transmission_matrix	(	Tensor3View	T,
		const Numeric &	r,
		const PropagationMatrix &	upper_level,
		const PropagationMatrix &	lower_level,
		const Index	iz = `0`,
		const Index	ia = `0`
	)

Compute the matrix exponent as the transmission matrix of this propagation matrix.

The propagation matrix is multiplied by -r and level-averaged before exponent is applied.

upper_level and lower_level propagation matrices should thus be the level matrices and r the distance between these levels. The same is true for the derivative matrices.

Stokes dim 1 and 4 have been tested more. Stokes dim 2 and 3 have been found to work but could still have hidden errors for uncommon cases

Parameters

[in,out]	T	transmission tensor with outmost dimension being frequency
[in]	r	the distance over which the propagation matrix causes the transmission
[in]	upper_level	The upper level propagation matrix
[in]	lower_level	The lower level propagation matrix
[in]	iz	Zenith index
[in]	ia	Azimuth index

Definition at line 33 of file propagationmatrix.cc.

References a, a2, b, b2, c, joker, PropagationMatrix::K12(), PropagationMatrix::K13(), PropagationMatrix::K23(), PropagationMatrix::Kjj(), PropagationMatrix::NumberOfFrequencies(), sqrt(), PropagationMatrix::StokesDimensions(), and u.

◆ compute_transmission_matrix_and_derivative()

void compute_transmission_matrix_and_derivative	(	Tensor3View	T,
		Tensor4View	dT_upper_level,
		Tensor4View	dT_lower_level,
		const Numeric &	r,
		const PropagationMatrix &	upper_level,
		const PropagationMatrix &	lower_level,
		const Array< PropagationMatrix > &	dprop_mat_upper_level,
		const Array< PropagationMatrix > &	dprop_mat_lower_level,
		const Numeric &	dr_dTu = `0.0`,
		const Numeric &	dr_dTl = `0.0`,
		const Index	it = `-1`,
		const Index	iz = `0`,
		const Index	ia = `0`
	)

Compute the matrix exponent as the transmission matrix of this propagation matrix

The propagation matrix is multiplied by -r and level-averaged before exponent is applied.

upper_level and lower_level propagation matrices should thus be the level matrices and r the distance between these levels. The same is true for the derivative matrices.

Stokes dim 1 and 4 have been tested more. Stokes dim 2 and 3 have been found to work but could still have hidden errors for uncommon cases

Parameters

[in,out]	T	transmission tensor with outmost dimension being frequency
[in,out]	dT_upp	transmission tensors derivative with respect to derivatives of the propagation matrix for upper level
[in,out]	dT_low	transmission tensors derivative with respect to derivatives of the propagation matrix for lower level
[in]	r	the distance over which the propagation matrix causes the transmission
[in]	upper_level	The upper level propagation matrix
[in]	lower_level	The lower level propagation matrix
[in]	dprop_mat_upp	derivatives of the upper propagation matrix with respect to some parameter (is multiplied by -0.5 r)
[in]	dprop_mat_low	derivatives of the lower propagation matrix with respect to some parameter (is multiplied by -0.5 r)
[in]	dr_dTu	Distance temperature derivative for upper level
[in]	dr_dTl	Distance temperature derivative for lower level
[in]	it	Position of temperature derivative (ignored at -1)
[in]	iz	Zenith index
[in]	ia	Azimuth index

Definition at line 478 of file propagationmatrix.cc.

References a, a2, b, b2, c, joker, PropagationMatrix::K12(), PropagationMatrix::K13(), PropagationMatrix::K23(), PropagationMatrix::Kjj(), Array< base >::nelem(), PropagationMatrix::NumberOfFrequencies(), sqrt(), PropagationMatrix::StokesDimensions(), and u.

◆ compute_transmission_matrix_from_averaged_matrix_at_frequency()

void compute_transmission_matrix_from_averaged_matrix_at_frequency	(	MatrixView	T,
		const Numeric &	r,
		const PropagationMatrix &	averaged_propagation_matrix,
		const Index	iv,
		const Index	iz = `0`,
		const Index	ia = `0`
	)

Compute the matrix exponent as the transmission matrix of this propagation matrix.

The propagation matrix is multiplied by -r and level-averaged before exponent is applied.

Stokes dim 1 and 4 have been tested more. Stokes dim 2 and 3 have been found to work but could still have hidden errors for uncommon cases

Parameters

[in,out]	T	transmission matrix at the position
[in]	r	the distance over which the propagation matrix causes the transmission
[in]	averaged_propagation_matrix	The propagation matrix
[in]	iv	Frequency index
[in]	iz	Zenith index
[in]	ia	Azimuth index

Definition at line 272 of file propagationmatrix.cc.

References a, a2, b, b2, c, PropagationMatrix::K12(), PropagationMatrix::K13(), PropagationMatrix::K23(), PropagationMatrix::Kjj(), sqrt(), PropagationMatrix::StokesDimensions(), and u.

Referenced by rte_step_doit_replacement().

◆ inv_prop_matrix()

template<int N>

Eigen::Matrix< Numeric, N, N > inv_prop_matrix ( const ConstVectorView & vec )

Definition at line 89 of file propagationmatrix.h.

References a, b, c, d, N, u, v, and w.

◆ need2stokes()

template<bool matrix>

constexpr Index need2stokes ( Index nstokes_needed )

constexpr

Definition at line 179 of file propagationmatrix.h.

References ARTS_ASSERT, IGRF::matrix(), and max.

◆ operator*() [1/2]

LazyScale< PropagationMatrix > operator*	(	const Numeric &	x,
		const PropagationMatrix &	pm
	)

inline

Returns a lazy multiplier.

Parameters

[in]	x	Scale
[in]	pm	Propagation matrix

Returns: LazyScale<PropagationMatrix> A lazy multiplier

Definition at line 1496 of file propagationmatrix.h.

◆ operator*() [2/2]

LazyScale< PropagationMatrix > operator*	(	const PropagationMatrix &	pm,
		const Numeric &	x
	)

inline

Returns a lazy multiplier.

Parameters

[in]	pm	Propagation matrix
[in]	x	Scale

Returns: LazyScale<PropagationMatrix> A lazy multiplier

Definition at line 1485 of file propagationmatrix.h.

◆ operator<<() [1/6]

std::ostream & operator<<	(	std::ostream &	os,
		const ArrayOfArrayOfPropagationMatrix &	aapm
	)

output operator

Definition at line 2048 of file propagationmatrix.cc.

◆ operator<<() [2/6]

std::ostream & operator<<	(	std::ostream &	os,
		const ArrayOfArrayOfStokesVector &	aapm
	)

Definition at line 2065 of file propagationmatrix.cc.

◆ operator<<() [3/6]

std::ostream & operator<<	(	std::ostream &	os,
		const ArrayOfPropagationMatrix &	apm
	)

output operator

Definition at line 2042 of file propagationmatrix.cc.

◆ operator<<() [4/6]

std::ostream & operator<<	(	std::ostream &	os,
		const ArrayOfStokesVector &	apm
	)

Definition at line 2060 of file propagationmatrix.cc.

◆ operator<<() [5/6]

std::ostream & operator<<	(	std::ostream &	os,
		const PropagationMatrix &	pm
	)

output operator

Definition at line 2037 of file propagationmatrix.cc.

References PropagationMatrix::Data().

◆ operator<<() [6/6]

std::ostream & operator<<	(	std::ostream &	os,
		const StokesVector &	pm
	)

Definition at line 2055 of file propagationmatrix.cc.

References PropagationMatrix::Data().

◆ prop_matrix() [1/2]

template<int N>

Eigen::Matrix< Numeric, N, N > prop_matrix ( const ConstMatrixView & m )

Definition at line 69 of file propagationmatrix.h.

References N.

◆ prop_matrix() [2/2]

template<int N>

Eigen::Matrix< Numeric, N, N > prop_matrix ( const ConstVectorView & vec )

Definition at line 41 of file propagationmatrix.h.

References a, b, c, d, N, u, v, and w.

◆ stokes2need()

template<bool matrix>

constexpr Index stokes2need ( Index nstokes )

constexpr

Definition at line 194 of file propagationmatrix.h.

References ARTS_ASSERT, IGRF::matrix(), and max.

Classes

Macros

Typedefs

Functions

Detailed Description

Macro Definition Documentation

◆ a [1/2]

◆ a [2/2]

◆ b [1/2]

◆ b [2/2]

◆ c [1/2]

◆ c [2/2]

◆ d [1/2]

◆ d [2/2]

◆ u [1/2]

◆ u [2/2]

◆ v [1/2]

◆ v [2/2]

◆ w [1/2]

◆ w [2/2]

Typedef Documentation

◆ ArrayOfArrayOfArrayOfStokesVector

◆ ArrayOfArrayOfPropagationMatrix

◆ ArrayOfArrayOfStokesVector

◆ ArrayOfPropagationMatrix

◆ ArrayOfStokesVector

Function Documentation

◆ bad_propmat()

◆ compute_transmission_matrix()

◆ compute_transmission_matrix_and_derivative()

◆ compute_transmission_matrix_from_averaged_matrix_at_frequency()

◆ inv_prop_matrix()

◆ need2stokes()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator<<() [1/6]

◆ operator<<() [2/6]

◆ operator<<() [3/6]

◆ operator<<() [4/6]

◆ operator<<() [5/6]

◆ operator<<() [6/6]

◆ prop_matrix() [1/2]

◆ prop_matrix() [2/2]

◆ stokes2need()