FMM/calc_SMD_layer.m

%{
Copyright © 2020 Alexey A. Shcherbakov. All rights reserved.

This file is part of GratingFMM.

GratingFMM is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 2 of the License, or
(at your option) any later version.

GratingFMM is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with GratingFMM. If not, see <https://www.gnu.org/licenses/>.
%}
%% description:
% calculate a diagonal S-matrix of a homogeneous layer for a 1D set of
% wavevector projections
%% input:
% no: number of Fourier harmonics
% kx0: zero harmonic wavevector projection
% kg: wavevector step
% kh: layer thickness multiplied by the vacuum wavenumber
% eps: layer permittivity
%% output:
% SMD: diagonal interface S-matrix of size (no,2,2)
% block SMD(:,1,1) corresponds to refelection from below to below
% block SMD(:,2,2) corresponds to refelection from above to above
% block SMD(:,2,1) corresponds to transmission from below to above
% block SMD(:,1,2) corresponds to transmission from above to below
% central harmonic index is ind_0 = ceil(no/2)
%% implementation:
function [SMD] = calc_SMD_layer(no, kx0, kg, kh, eps)
	kz = fmm_kxz(no, kx0, 0, kg, eps, eps);
	SMD = zeros(no,2,2);
	SMD(:,1,2) = exp((1i*kh)*kz);
	SMD(:,2,1) = SMD(:,1,2);
end
%
% end of calc_SMD_layer
%