Compute::TransitionMagneticTanh Namespace Reference

Description

Implements the magnetic Fresnel computation with the analytical Tanh roughness.

Implements the transfer matrix formalism for the calculation of wave amplitudes of the coherent wave solution in a sample with magnetization. For a description, see internal document "Polarized Implementation of the Transfer Matrix Method"

Functions
std::pair< SpinMatrix, SpinMatrix >	backwardsSubmatrices (const MatrixFlux &coeff_i, const MatrixFlux &coeff_i1, double sigma)

Function Documentation

backwardsSubmatrices()

std::pair< SpinMatrix, SpinMatrix > Compute::TransitionMagneticTanh::backwardsSubmatrices	(	const MatrixFlux &	coeff_i,
		const MatrixFlux &	coeff_i1,
		double	sigma
	)

Definition at line 64 of file TransitionMagneticTanh.cpp.

{
    SpinMatrix R{SpinMatrix::One()};
    SpinMatrix RInv{SpinMatrix::One()};
 
    if (sigma != 0.) {
        R = computeRoughnessMatrix(coeff_i1, sigma, false)
            * computeRoughnessMatrix(coeff_i, sigma, true);
 
        RInv = computeRoughnessMatrix(coeff_i, sigma, false)
               * computeRoughnessMatrix(coeff_i1, sigma, true);
    }
 
    const SpinMatrix mproduct = coeff_i.computeInverseP() * coeff_i1.computeP();
    const SpinMatrix mp = 0.5 * (RInv + mproduct * R);
    const SpinMatrix mm = 0.5 * (RInv - mproduct * R);
 
    return {mp, mm};
}

References MatrixFlux::computeInverseP(), MatrixFlux::computeP(), SpinMatrix::One(), and TMath::R().

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