fnft__akns_scatter.h File Reference

Slow forward scattering. More...

#include "fnft__akns_discretization.h"

Include dependency graph for fnft__akns_scatter.h:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Functions
FNFT_INT	fnft__akns_scatter_matrix (const UINT D, COMPLEX const *const q, COMPLEX const *const r, const REAL eps_t, const UINT K, COMPLEX const *const lambda, COMPLEX *const result, akns_discretization_t discretization)
	Computes the scattering matrix and its derivative. More...

Detailed Description

Slow forward scattering.

Function Documentation

fnft__akns_scatter_matrix()

FNFT_INT fnft__akns_scatter_matrix	(	const UINT	D,
		COMPLEX const *const	q,
		COMPLEX const *const	r,
		const REAL	eps_t,
		const UINT	K,
		COMPLEX const *const	lambda,
		COMPLEX *const	result,
		akns_discretization_t	discretization
	)

Computes the scattering matrix and its derivative.

The function computes the scattering matrix and the derivative of the scattering matrix with respect to \(\lambda\). The function performs slow direct scattering and is primarily based on the reference Boffetta and Osborne (J. Comput. Physics 1992 ).

Parameters

[in]	D	Number of samples
[in]	q	Array of length D, contains samples \( q(t_n)=q(x_0, t_n) \), where \( t_n = T[0] + n(T[1]-T[0])/(D-1) \) and \(n=0,1,\dots,D-1\), of the to-be-transformed signal in ascending order (i.e., \( q(t_0), q(t_1), \dots, q(t_{D-1}) \))
[in]	r	Array of length D, contains samples \( r(t_n)=r(x_0, t_n) \), where \( t_n = T[0] + n(T[1]-T[0])/(D-1) \) and \(n=0,1,\dots,D-1\), of the to-be-transformed signal in ascending order (i.e., \( r(t_0), r(t_1), \dots, r(t_{D-1}) \))
[in]	eps_t	Step-size, eps_t \(= (T[1]-T[0])/(D-1) \).
[in]	K	Number of values of \(\lambda\).
[in]	lambda	Array of length K, contains the values of \(\lambda\).
[out]	result	Array of length 8*K, contains the values [S11 S12 S21 S22 S11' S12' S21' S22'] where S = [S11, S12; S21, S22] is the scattering matrix.
[in]	discretization	The type of discretization to be used. Should be of type fnft_nse_discretization_t. Not all nse_discretization_t discretizations are supported. Check fnft_nse_discretization_t for list of supported types.

Returns

FNFT_SUCCESS or one of the FNFT_EC_... error codes defined in fnft_errwarn.h.