#include <ocsPolarizer.hh>

Public Member Functions
	Polarizer (OptSignal *oOptSignalTmp)
void	SetPolarization (double S1PolarizerTmp, double S2PolarizerTmp, double S3PolarizerTmp)
	Sets a new polarization splitting vector in Stokes space.
void	PolarizeOptSignal ()
	Polarizes optical signal.
Private Attributes
OptSignal *	oOptSignal
double *	SPolarizer
ReduPolarizer *	oReduPolarizer

Detailed Description

Adapted by John Zweck (Jan 2006) from code written by Ivan Lima See doumentation for Polarizer::PolarizeOptSignal() for details.

Constructor & Destructor Documentation

Polarizer::Polarizer ( OptSignal * oOptSignalTmp )

Constructor. Sets default polarization splitting vector in Stokes space to be the horizontal state (1,0,0).

References oOptSignal, OptSignal::oReduOptSignal, oReduPolarizer, SetPolarization(), and SPolarizer.

Member Function Documentation

void Polarizer::PolarizeOptSignal ( )

Polarizes optical signal.

Suppose that the input Jones signal to the polarizer is

U_{in}(t) = u_{parallel}(t)V_{parallel} + u_{perp}(t)V_{perp},

where V_{parallel} is a Jones vector corresponding to the Stokes vector SPolarizer, and {V_{parallel}, V_{perp}} for an orthonormal basis for Jones space. Then we define the output signal after the polarizer to be

U_{out}(t) = u_{parallel}(t)V_{parallel}.

Use the theory of projection operators from linear algebra we have that

If Jones vectors are column vectors then

U_{out}(t) = [conjugatetranspose(V_{parallel})U_in(t)]V_{parallel}.

You can check that U_{out} is independent of the choice of phase for V_{parallel} that arises when V_{parallel} is computed from SPolarizer.

References OptSignal::GetQtPoints(), InnerProduct(), oOptSignal, oReduPolarizer, ReduPolarizer::PolarizeOptSignal(), OptSignal::sfftM, SPolarizer, Stokes2Jones(), OptSignal::Time2Freq(), fftMatrices::tOptSignalX, and fftMatrices::tOptSignalY.