Use the complex frequency shifted PML as the acoustic absorbing boundary condition. More...

#include <PML.hpp>

Public Member Functions
	PML ()
	PML (unsigned nLayers, double xi_ratio, double kappa_max, double alpha_max)
	PML (unsigned nLayers, double xi_ratio)
	This is effectively the U-PML.
double	getAlpha (const double delta, const unsigned i, const int flag) const
double	getXi (const double delta, const unsigned i, const int flag) const
	Calculate $\xi$ .
double	getKappa (const double delta, const unsigned i, const int flag) const
unsigned	getnLayers () const

Private Attributes
unsigned	N
double	xi_rat
	ratio between the maxium $\xi$ and the loss proposed in (7.62) in [Taflove2005].
double	ka_max
	maxium value of $\kappa$ .
double	al_max
	maxium value of $\alpha$ .
unsigned	m
	order of the polynomial used to find the profile of $\xi$ and $\kappa$ .
unsigned	m_alpha
	order of the polynomial used to find the profile of $\alpha$ .

Detailed Description

Use the complex frequency shifted PML as the acoustic absorbing boundary condition.

Constructor & Destructor Documentation

PML::PML ( )

PML::PML	(	unsigned	nLayers,
		double	xi_ratio,
		double	kappa_max,
		double	alpha_max
	)

Parameters

nLayers
xi_ratio	ratio between the maximum $\xi$ to be used in the PML region and the optimal loss (denoted as $\sigma$ ) proposed in (7.62) in [Taflove2005].
kappa_max
alpha_max

PML::PML	(	unsigned	nLayers,
		double	xi_ratio
	)

This is effectively the U-PML.

PML:ka_max is set to 1 and PML::al_max is set to 0.0.

Member Function Documentation

double PML::getAlpha	(	const double	delta,
		const unsigned	i,
		const int	flag
	)		const

double PML::getKappa	(	const double	delta,
		const unsigned	i,
		const int	flag
	)		const

unsigned PML::getnLayers ( ) const

double PML::getXi	(	const double	delta,
		const unsigned	i,
		const int	flag
	)		const

Calculate $\xi$ .

Parameters

delta	spatial increment in the PML region
i	identify the i-th PML layer
flag	identify the face

Member Data Documentation

double PML::al_max

private

maxium value of $\alpha$ .

double PML::ka_max

private

maxium value of $\kappa$ .

unsigned PML::m

private

order of the polynomial used to find the profile of $\xi$ and $\kappa$ .

Fixed to 3.

unsigned PML::m_alpha

private

order of the polynomial used to find the profile of $\alpha$ .

Fixed to 1.

unsigned PML::N

private

double PML::xi_rat

private

ratio between the maxium $\xi$ and the loss proposed in (7.62) in [Taflove2005].

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

include/PML.hpp
src/PML.cpp

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation