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debayLinear.m
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debayLinear.m
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classdef debayLinear < RichWolf
%DEBAY Summary of this class goes here
% Detailed explanation goes here
% continuos polarization and SPP
properties
zCross = 0;
rCross = 0;
aCircE = 1; % linear by default
bCircE = 0;
aCircH = 0;
bCircH = 1;
mVortex = 0; % without vortex by default
end
methods(Static)
function [r, psi] = calcrpsi(x,y)
r = (x.^2 + y.^2).^0.5;
if y >= 0 && x >= 0
psi = atan(y./x);
elseif y > 0 && x <= 0
psi = atan(y./x) + pi;
elseif y < 0 && x < 0
psi = atan(y./x) + pi;
elseif y <= 0 && x >= 0
psi = atan(y./x) + 2*pi;
end
end
function m = mMatrixEx(theta, phi, a, b)
p11 = 1 + cos(phi).*cos(phi) .* (cos(theta) - 1);
p12 = sin(phi) .* cos(phi) .* (cos(theta)-1);
m = p11 .* a + p12 .* b;
end
function m = mMatrixEy(theta, phi, a, b)
p21 = sin(phi) .* cos(phi) .* (cos(theta)-1);
p22 = 1 + sin(phi).*sin(phi) .* (cos(theta)-1);
m = p21 .* a + p22 .* b;
end
function m = mMatrixEz(theta, phi, a, b)
p31 = -1 * sin(theta) .* cos(phi);
p32 = -1 * sin(theta) .* sin(phi);
m = p31 .* a + p32 .* b;
end
function m = mMatrixHx(theta, phi, a, b)
p11 = 1 + cos(phi).*cos(phi) .* (cos(theta) - 1);
p12 = sin(phi) .* cos(phi) .* (cos(theta)-1);
m = p11 .* a + p12 .* b;
end
function m = mMatrixHy(theta, phi, a, b)
p21 = sin(phi) .* cos(phi) .* (cos(theta)-1);
p22 = 1 + sin(phi).*sin(phi) .* (cos(theta)-1);
m = p21 .* a + p22 .* b;
end
function m = mMatrixHz(theta, phi, a, b)
p31 = -1 * sin(theta) .* cos(phi);
p32 = -1 * sin(theta) .* sin(phi);
m = p31 .* a + p32 .* b;
end
end
methods
% calcFWHMs
function obj = calcFWHMx(obj)
obj = obj.calcIntensityAlongX();
obj.FWHMx = obj.calcFWHM(obj.rCoord'/obj.lambda, obj.intensityAlongX');
end
function obj = calcFWHMy(obj)
obj = obj.calcIntensityAlongY();
obj.FWHMy = obj.calcFWHM(obj.rCoord'/obj.lambda, obj.intensityAlongY');
end
function obj = calcFWHMz(obj)
obj = obj.calcIntensityAlongZ();
obj.FWHMz = obj.calcFWHM(obj.zCoord'/obj.lambda, obj.intensityAlongZ');
end
% <- calcFWHMs
% calc amplitude E in focal point
function obj = calcAmpExFocus(obj)
ampEx = zeros(obj.rNum, obj.rNum);
for k = 1:obj.rNum
for kk = 1:obj.rNum
[r, psi] = obj.calcrpsi(obj.rCoord(kk), obj.rCoord(k));
ampEx(k,kk) = ampEx(k,kk) + integral2(@(theta, phi)underintEx(obj, theta, r, obj.zCross, psi, phi, obj.aCircE, obj.bCircE), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampExFocus = ampEx;
end
function obj = calcAmpEyFocus(obj)
ampEy = zeros(obj.rNum, obj.rNum);
for k = 1:obj.rNum
for kk = 1:obj.rNum
[r, psi] = obj.calcrpsi(obj.rCoord(kk), obj.rCoord(k));
ampEy(k,kk) = ampEy(k,kk) + integral2(@(theta, phi)underintEy(obj, theta, r, obj.zCross, psi, phi, obj.aCircE, obj.bCircE), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampEyFocus = ampEy;
end
function obj = calcAmpEzFocus(obj)
ampEz = zeros(obj.rNum, obj.rNum);
for k = 1:obj.rNum
for kk = 1:obj.rNum
[r, psi] = obj.calcrpsi(obj.rCoord(kk), obj.rCoord(k));
ampEz(k,kk) = ampEz(k,kk) + integral2(@(theta, phi)underintEz(obj, theta, r, obj.zCross, psi, phi, obj.aCircE, obj.bCircE), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampEzFocus = ampEz;
end
% <- calc amplitude E in focal point
% calc H in focal spot
function obj = calcAmpHxFocus(obj)
ampHx = zeros(obj.rNum, obj.rNum);
for k = 1:obj.rNum
for kk = 1:obj.rNum
[r, psi] = obj.calcrpsi(obj.rCoord(kk), obj.rCoord(k));
ampHx(k,kk) = ampHx(k,kk) + integral2(@(theta, phi)underintHx(obj, theta, r, obj.zCross, psi, phi, obj.aCircH, obj.bCircH), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampHxFocus = ampHx;
end
function obj = calcAmpHyFocus(obj)
ampHy = zeros(obj.rNum, obj.rNum);
for k = 1:obj.rNum
for kk = 1:obj.rNum
[r, psi] = obj.calcrpsi(obj.rCoord(kk), obj.rCoord(k));
ampHy(k,kk) = ampHy(k,kk) + integral2(@(theta, phi)underintHy(obj, theta, r, obj.zCross, psi, phi, obj.aCircH, obj.bCircH), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampHyFocus = ampHy;
end
function obj = calcAmpHzFocus(obj)
ampHz = zeros(obj.rNum, obj.rNum);
for k = 1:obj.rNum
for kk = 1:obj.rNum
[r, psi] = obj.calcrpsi(obj.rCoord(kk), obj.rCoord(k));
ampHz(k,kk) = ampHz(k,kk) + integral2(@(theta, phi)underintHz(obj, theta, r, obj.zCross, psi, phi, obj.aCircH, obj.bCircH), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampHzFocus = ampHz;
end
% <- calc H in focal spot
%%%%%%%%%%%%%%%%%%%%%%%%% !!!!!!!!!!!!!!!!!!!!
% calc amplitude E in focal point
function obj = calcAmpExAlongZ(obj)
ampEx = zeros(obj.rNum, obj.zNum);
for k = 1:obj.rNum
for kk = 1:obj.zNum
[r, psi] = obj.calcrpsi(0, obj.rCoord(k));
ampEx(k,kk) = ampEx(k,kk) + integral2(@(theta, phi)underintEx(obj, theta, r, obj.zCoord(kk), psi, phi, obj.aCircE, obj.bCircE), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampExAlongZ = ampEx;
end
function obj = calcAmpEyAlongZ(obj)
ampEy = zeros(obj.rNum, obj.zNum);
for k = 1:obj.rNum
for kk = 1:obj.zNum
[r, psi] = obj.calcrpsi(0, obj.rCoord(k));
ampEy(k,kk) = ampEy(k,kk) + integral2(@(theta, phi)underintEy(obj, theta, r, obj.zCoord(kk), psi, phi, obj.aCircE, obj.bCircE), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampEyAlongZ = ampEy;
end
function obj = calcAmpEzAlongZ(obj)
ampEz = zeros(obj.rNum, obj.zNum);
for k = 1:obj.rNum
for kk = 1:obj.zNum
[r, psi] = obj.calcrpsi(0, obj.rCoord(k));
ampEz(k,kk) = ampEz(k,kk) + integral2(@(theta, phi)underintEz(obj, theta, r, obj.zCoord(kk), psi, phi, obj.aCircE, obj.bCircE), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampEzAlongZ = ampEz;
end
% <- calc amplitude E in focal point
% calc H in focal spot
function obj = calcAmpHxAlongZ(obj)
ampHx = zeros(obj.rNum, obj.zNum);
for k = 1:obj.rNum
for kk = 1:obj.zNum
[r, psi] = obj.calcrpsi(0, obj.rCoord(k));
ampHx(k,kk) = ampHx(k,kk) + integral2(@(theta, phi)underintHx(obj, theta, r, obj.zCoord(kk), psi, phi, obj.aCircH, obj.bCircH), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampHxAlongZ = ampHx;
end
function obj = calcAmpHyAlongZ(obj)
ampHy = zeros(obj.rNum, obj.zNum);
for k = 1:obj.rNum
for kk = 1:obj.zNum
[r, psi] = obj.calcrpsi(0, obj.rCoord(k));
ampHy(k,kk) = ampHy(k,kk) + integral2(@(theta, phi)underintHy(obj, theta, r, obj.zCoord(kk), psi, phi, obj.aCircH, obj.bCircH), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampHyAlongZ = ampHy;
end
function obj = calcAmpHzAlongZ(obj)
ampHz = zeros(obj.rNum, obj.zNum);
for k = 1:obj.rNum
for kk = 1:obj.zNum
[r, psi] = obj.calcrpsi(0, obj.rCoord(k));
ampHz(k,kk) = ampHz(k,kk) + integral2(@(theta, phi)underintHz(obj, theta, r, obj.zCoord(kk), psi, phi, obj.aCircH, obj.bCircH), 0, obj.thetaMax, 0, 2*pi);
end
end
obj.ampHzAlongZ = ampHz;
end
% <- calc H in focal spot
%%%%%%%%%%%%%%%%%%%%%%%%% <-------- !!!!!!!!!!!!!!!!!!!!
% Ex calc
function Ex = underintEx(obj, theta, r, z, psi, phi, a, b)
Ex = underinteq(obj, theta, phi, z, r, psi);
Ex = Ex .* obj.mMatrixEx(theta, phi, a, b); % expression under integral
Ex = -1i * Ex; % not exact constant
end
% <- Ex calc
% Ey calc
function Ey = underintEy(obj, theta, r, z, psi, phi, a, b)
Ey = underinteq(obj, theta, phi, z, r, psi);
Ey = Ey .* obj.mMatrixEy(theta, phi, a, b); % expression under integral
Ey = -1i * Ey; % not exact constant
end
% <- Ey calc
% Ez calc
function Ez = underintEz(obj, theta, r, z, psi, phi, a, b)
Ez = underinteq(obj, theta, phi, z, r, psi);
Ez = Ez .* obj.mMatrixEz(theta, phi, a, b); % expression under integral
Ez = -1i * Ez; % not exact constant
end
% <- Ez calc
% Hx calc
function Hx = underintHx(obj, theta, r, z, psi, phi, a, b)
Hx = underinteq(obj, theta, phi, z, r, psi);
Hx = Hx .* obj.mMatrixHx(theta, phi, a, b); % expression under integral
Hx = -1i * Hx; % not exact constant
end
% <- Hx calc
% Hy calc
function Hy = underintHy(obj, theta, r, z, psi, phi, a, b)
Hy = underinteq(obj, theta, phi, z, r, psi);
Hy = Hy .* obj.mMatrixHy(theta, phi, a, b); % expression under integral
Hy = -1i * Hy; % not exact constant
end
% <- Hy calc
% Hz calc
function Hz = underintHz(obj, theta, r, z, psi, phi, a, b)
Hz = underinteq(obj, theta, phi, z, r, psi);
Hz = Hz .* obj.mMatrixHz(theta, phi, a, b); % expression under integral
Hz = -1i * Hz; % not exact constant
end
% <- Hz calc
function undeq = underinteq(obj, theta, phi, z, r, psi) % the equal part under the integral
T = obj.apodization(theta);
L = obj.source(theta, phi); % âûêèíóòü ???
L = exp(1i*phi*obj.mVortex); % use in the case of SPP
% undeq = sin(theta) .* exp(1i*obj.kWave*ones(size(theta)) .* (z*cos(theta) + r * sin(theta) .* cos(phi-psi)) ) .* L .* T;
% undeq = sin(theta) .* exp(1i*obj.kWave*ones(size(theta)) .* (z*cos(theta) + r * sin(theta) .* cos(phi-psi)) ) .* T; % uniform source
undeq = sin(theta) .* exp(1i*obj.kWave*ones(size(theta)) .* (z*cos(theta) + r * sin(theta) .* cos(phi-psi)) ) .* T .* L; % uniform source
end
end
end