This class calculates the time dependence of a field which calculated before. More...

#include <fft.h>

Public Member Functions
void	calc (std::vector< std::vector< SuperArray< std::vector< gridEntry > > > > &SA, double t)
void	calc (std::vector< SuperArray< std::vector< gridEntry > > > &SA, double omegaStart, double omegaEnd, double t, bool do_clear=true)
	calculation of the Fourier transformation. The calculation of the Fourier transformation is made in a certain frequency intervall at the time t
void	clear ()
	Deletes all arrays (frees the memory)
void	empty ()
	fills the entire result array with zero vectors
double	getD ()
	relative change
int	getNumberOfThreads ()
	get number of threads which can be used by the program
void	initResult (double r0, INDEX_TYPE nx, INDEX_TYPE ny, INDEX_TYPE nz, std::vector< ObjectShape * > Obj, int numObjs)
	Resets and initialize the result array. The result array will be cleared and renewed according to the parameters.
void	initResult (SuperArray< maths::Vector< std::complex< double > > > &SA)
	Resets and initialize the result array. The result array will be cleared and renewed according to the settings of the SuperArray SA.
void	setNumberOfThreads (int n)
	set number of threads which can be used by the program
void	setReferenceTime (double tref)
	Sets the reference time (in fs).
void	setRefractiveIndexFunctions (std::vector< std::function< std::complex< double >(double) > > nList)
	Set the refractive index functions. Here, the refractive index functions were given with help of a std::vector. Each function must return a complex number (the refractive index) and has a double value (the wavelength) as argument.
void	setTrafoParms (TrafoParms trafoparms)
	Sets the parameters used in the calculation.
	Trafo ()
	Trafo (TrafoParms)
	Constructor for initialization Perform a calculation at the time t.

Public Attributes
std::vector< std::function< std::complex< double >(double) > >	nList
	List of the refractive index functions.
SuperArray< maths::Vector< std::complex< double > > >	SAres
	Container for the last result.

Private Member Functions
GOAT::maths::Vector< std::complex< double > >	calcOne (std::vector< stepEntry > steps, double t)
std::complex< double >	calcPhase (std::vector< stepEntry > steps, double k0)
GOAT::maths::Vector< std::complex< double > >	integrate (double t, std::vector< gridEntry > ge, double omegastart, double omegastop)
double	pulseWeight (double omega)
void	setCurrNList (double wvl)
	sets current values for the refractive indices This method calculates the refractive indices of the different objects for a given wavelength.

Private Attributes
std::vector< std::complex< double > >	currNList
	here, the refractive indices for the current wavelength are stored (for faster calculation)
double	D = 0
std::vector< double >	freq
int	number_of_threads
double	prefactor
double	sigma2
	for a gaussian pulse, the electric field, the temporal behavior is: \(E(t)=E0 \cdot e^{-t^2/(2*\sigma^2)}\)
TrafoParms	tp
double	tref = 0.0
double	twoSigma2

Detailed Description

This class calculates the time dependence of a field which calculated before.

The calculation of the time dependence is made in two steps. In the first step, the fields are calculated with help of raytracing. This class uses the information from the raytracing (path of the rays) to make the concrete calculation of the electric field for different wavelength equivalent to a Fourier transform. The class requires an array of SuperArray elements which contain the the information over all steps for every ray (length of the step and material). The structure TrafoParms carries all information needed for the calculation. The spectral resolution, needed to prevent "ghost" peaks is a function of the time difference dt to a certain reference time tref: dt=|tref-t|. By default tref is set to 0, but if you are interested of a range around time, set tref to an approbriate time to reduce the amount of needed frequencies

Definition at line 49 of file fft.h.

Constructor & Destructor Documentation

◆ Trafo() [1/2]

GOAT::raytracing::Trafo::Trafo ( )

◆ Trafo() [2/2]

GOAT::raytracing::Trafo::Trafo ( TrafoParms )

Constructor for initialization Perform a calculation at the time t.

Parameters

SA	Array of SuperArray elements. Contains the fields for the different wavelengths defined by the parameters in the corresponding TrafoParms structure, given in the constructor

Member Function Documentation

◆ calc() [1/2]

void GOAT::raytracing::Trafo::calc	(	std::vector< std::vector< SuperArray< std::vector< gridEntry > > > > &	SA,
		double	t )

◆ calc() [2/2]

void GOAT::raytracing::Trafo::calc	(	std::vector< SuperArray< std::vector< gridEntry > > > &	SA,
		double	omegaStart,
		double	omegaEnd,
		double	t,
		bool	do_clear = true )

calculation of the Fourier transformation. The calculation of the Fourier transformation is made in a certain frequency intervall at the time t

Parameters

SA	this SuperArray structure contains the information gathered in the raytracing part.
omegaStart	Start frequency (in \(s^{-1}\) ) of the frequency intervall
omegaStop	End frequency (in \(s^{-1}\)) of the frequency intervall

◆ calcOne()

GOAT::maths::Vector< std::complex< double > > GOAT::raytracing::Trafo::calcOne	(	std::vector< stepEntry >	steps,
		double	t )

private

◆ calcPhase()

std::complex< double > GOAT::raytracing::Trafo::calcPhase	(	std::vector< stepEntry >	steps,
		double	k0 )

private

◆ clear()

void GOAT::raytracing::Trafo::clear ( )

Deletes all arrays (frees the memory)

◆ empty()

void GOAT::raytracing::Trafo::empty ( )

fills the entire result array with zero vectors

◆ getD()

double GOAT::raytracing::Trafo::getD ( )

inline

relative change

Definition at line 103 of file fft.h.

◆ getNumberOfThreads()

int GOAT::raytracing::Trafo::getNumberOfThreads ( )

inline

get number of threads which can be used by the program

Definition at line 105 of file fft.h.

◆ initResult() [1/2]

void GOAT::raytracing::Trafo::initResult	(	double	r0,
		INDEX_TYPE	nx,
		INDEX_TYPE	ny,
		INDEX_TYPE	nz,
		std::vector< ObjectShape * >	Obj,
		int	numObjs )

Resets and initialize the result array. The result array will be cleared and renewed according to the parameters.

Parameters

r0	Radius of the calculation space
nx	Number of grid elements in x-direction
ny	Number of grid elements in y-direction
nz	Number of grid elements in z-direction
Obj	List of all objects in the scene
numObjs	Numnber of objects in List

◆ initResult() [2/2]

void GOAT::raytracing::Trafo::initResult ( SuperArray< maths::Vector< std::complex< double > > > & SA )

Resets and initialize the result array. The result array will be cleared and renewed according to the settings of the SuperArray SA.

◆ integrate()

GOAT::maths::Vector< std::complex< double > > GOAT::raytracing::Trafo::integrate	(	double	t,
		std::vector< gridEntry >	ge,
		double	omegastart,
		double	omegastop )

private

◆ pulseWeight()

double GOAT::raytracing::Trafo::pulseWeight ( double omega )

private

◆ setCurrNList()

void GOAT::raytracing::Trafo::setCurrNList ( double wvl )

inlineprivate

sets current values for the refractive indices This method calculates the refractive indices of the different objects for a given wavelength.

Parameters

wvl	current wavelength

Definition at line 115 of file fft.h.

◆ setNumberOfThreads()

void GOAT::raytracing::Trafo::setNumberOfThreads ( int n )

inline

set number of threads which can be used by the program

Definition at line 104 of file fft.h.

◆ setReferenceTime()

void GOAT::raytracing::Trafo::setReferenceTime ( double tref )

Sets the reference time (in fs).

◆ setRefractiveIndexFunctions()

void GOAT::raytracing::Trafo::setRefractiveIndexFunctions ( std::vector< std::function< std::complex< double >(double) > > nList )

Set the refractive index functions. Here, the refractive index functions were given with help of a std::vector. Each function must return a complex number (the refractive index) and has a double value (the wavelength) as argument.

◆ setTrafoParms()

void GOAT::raytracing::Trafo::setTrafoParms ( TrafoParms trafoparms )

Sets the parameters used in the calculation.

set the current transformation parameters (for details see: TrafoParms)

Member Data Documentation

◆ currNList

std::vector<std::complex<double > > GOAT::raytracing::Trafo::currNList

private

here, the refractive indices for the current wavelength are stored (for faster calculation)

Definition at line 130 of file fft.h.

◆ D

double GOAT::raytracing::Trafo::D = 0

private

Definition at line 131 of file fft.h.

◆ freq

std::vector<double> GOAT::raytracing::Trafo::freq

private

Definition at line 127 of file fft.h.

◆ nList

std::vector<std::function<std::complex<double>(double) > > GOAT::raytracing::Trafo::nList

List of the refractive index functions.

Definition at line 102 of file fft.h.

◆ number_of_threads

int GOAT::raytracing::Trafo::number_of_threads

private

Definition at line 132 of file fft.h.

◆ prefactor

double GOAT::raytracing::Trafo::prefactor

private

Definition at line 126 of file fft.h.

◆ SAres

SuperArray<maths::Vector<std::complex<double> > > GOAT::raytracing::Trafo::SAres

Container for the last result.

Definition at line 69 of file fft.h.

◆ sigma2

double GOAT::raytracing::Trafo::sigma2

private

for a gaussian pulse, the electric field, the temporal behavior is: \(E(t)=E0 \cdot e^{-t^2/(2*\sigma^2)}\)

Definition at line 125 of file fft.h.

◆ tp

TrafoParms GOAT::raytracing::Trafo::tp

private

Definition at line 129 of file fft.h.

◆ tref

double GOAT::raytracing::Trafo::tref = 0.0

private

Definition at line 128 of file fft.h.

◆ twoSigma2

double GOAT::raytracing::Trafo::twoSigma2

private

Definition at line 124 of file fft.h.

The documentation for this class was generated from the following file:

raytracing/fft.h

Public Member Functions

Public Attributes

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Trafo() [1/2]

◆ Trafo() [2/2]

Member Function Documentation

◆ calc() [1/2]

◆ calc() [2/2]

◆ calcOne()

◆ calcPhase()

◆ clear()

◆ empty()

◆ getD()

◆ getNumberOfThreads()

◆ initResult() [1/2]

◆ initResult() [2/2]

◆ integrate()

◆ pulseWeight()

◆ setCurrNList()

◆ setNumberOfThreads()

◆ setReferenceTime()

◆ setRefractiveIndexFunctions()

◆ setTrafoParms()

Member Data Documentation

◆ currNList

◆ D

◆ freq

◆ nList

◆ number_of_threads

◆ prefactor

◆ SAres

◆ sigma2

◆ tp

◆ tref

◆ twoSigma2