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WaveCavity3D_Main.m
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WaveCavity3D_Main.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%% last update 23Mai2018, lne %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
clear all
close all
clc
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Constants %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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c=2.99792458e8;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%% Solving Parameters %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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f0_guess= c/5e-6; %% Guess of the frequency solutions (Hz)
f0_min = c/20e-6; %% filter the solutions where the frequency is superior than (Hz)
f0_max = c/2e-6; %% filter the solutions where the frequency is inferior than (Hz)
nmodes=10; %% number of solutions asked
AbsorbingBoundaryCondition=0; %% 0 or 1 (not sure it is working well...)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%% Optical index definition %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Three vectors (x, y and z) and one 3D-matrix n must be defined with homogeneous grid
% x, y and z [meter]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Nx=13; %% Meshing point in x-direction
Ny=17; %% Meshing point in y-direction
Nz=15; %% Meshing point in z-direction
Dx=1E-6; %% map X [m]
Dy=1E-6; %% map Y [m]
Dz=1E-6; %% map Z [m]
x = linspace(-Dx, Dx, Nx);
y = linspace(-Dy, Dy, Ny);
z = linspace(-Dz, Dz, Nz);
dx = x(2)-x(1);
dy = y(2)-y(1);
dz = z(2)-z(1);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Choose between the next 2 structures or build your own on an homogeneous grid!
n1=1; n2=3;
Lx=1.3e-6; Ly=1.2e-6; Lz=1.4e-6;
[n,eps]=epsBox_f(x,y,z,Lx,Ly,Lz,n1,n2,AbsorbingBoundaryCondition);
%Rx=0.5e-6; Ry=0.6e-6; Rz=0.8e-6;
%[n,eps]=epsSpher_f(x,y,z,Rx,Ry,Rz,n1,n2,AbsorbingBoundaryCondition);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%% NOTHING TO CHANGE ANYMORE!!! %%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%% Selection of the model %%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
display('=======================================')
tic
if length(x)*length(y)*length(z)*3>1e4
Nxyz=length(x)*length(y)*length(z);
display(strcat('Warning: Take care, H=',num2str(Nxyz),'x',num2str(Nxyz),'x3 elements'))
end
[Ex,Ey,Ez,f1]=WC3D_FEM_f(x,y,z,eps,nmodes,f0_guess,f0_min,f0_max);
display(strcat('-> Finite Elements method =',num2str(toc),'sec'))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Display Results %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
f(1:length(f1),1)=f1;
lambda(1:length(f1),1)=c./f1;
%display('=======================================')
%display('Results f(THz):')
%f*1e-12
display('=======================================')
display('Results lambda(um):')
lambda*1e6
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% figures %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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X0fig = 50 ; Y0fig = 50;
Wfig = 1500 ; Hfig = 800;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:length(f(:,1))
figure('Name',strcat('FEM method: Electrical Field-',num2str(i)),'position',[X0fig Y0fig Wfig Hfig])
colormap(jet)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,1)
hold on;grid on;view (-38, 20);
slice(x*1e6,y*1e6,z*1e6,n,[0],[0],[0])
contour(x*1e6,y*1e6,z*1e6,abs(n),1,'linewidth',2,'linecolor','r')
PSI=abs(Ex(:,:,:,i)).^2;
p = patch(isosurface(x*1e6,y*1e6,z*1e6,PSI,max(PSI(:))/3));
isonormals(x*1e6,y*1e6,z*1e6,PSI, p)
set(p, 'FaceColor', 'red', 'EdgeColor', 'none', 'FaceLighting', 'gouraud')
daspect([1,1,1])
light ('Position', [1 1 5]);
title( strcat('lambda=', num2str( lambda(i,1)*1e6,'%.2f'),'um, Abs(Ex)' ) )
xlabel('x (um)')
ylabel('y (um)')
zlabel('z (um)')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,2)
hold on;grid on;view (-38, 20);
slice(x*1e6,y*1e6,z*1e6,n,[0],[0],[0])
PSI=abs(Ey(:,:,:,i)).^2;
p = patch(isosurface(x*1e6,y*1e6,z*1e6,PSI,max(PSI(:))/3));
isonormals(x*1e6,y*1e6,z*1e6,PSI, p)
set(p, 'FaceColor', 'red', 'EdgeColor', 'none', 'FaceLighting', 'gouraud')
daspect([1,1,1])
light ('Position', [1 1 5]);
title( strcat('lambda=', num2str( lambda(i,1)*1e6,'%.2f'),'um, Abs(Ey)' ) )
xlabel('x (um)')
ylabel('y (um)')
zlabel('z (um)')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,3)
hold on;grid on;view (-38, 20);
slice(x*1e6,y*1e6,z*1e6,n,[0],[0],[0])
PSI=abs(Ez(:,:,:,i)).^2;
p = patch(isosurface(x*1e6,y*1e6,z*1e6,PSI,max(PSI(:))/3));
isonormals(x*1e6,y*1e6,z*1e6,PSI, p)
set(p, 'FaceColor', 'red', 'EdgeColor', 'none', 'FaceLighting', 'gouraud')
daspect([1,1,1])
light ('Position', [1 1 5]);
title( strcat('lambda=', num2str( lambda(i,1)*1e6,'%.2f'),'um, Abs(Ez)' ) )
xlabel('x (um)')
ylabel('y (um)')
zlabel('z (um)')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,4)
hold on;grid on;view (-38, 20);
PSI=real(Ex(:,:,:,i));
slice(x*1e6,y*1e6,z*1e6,PSI,[0],[0],[0])
title( strcat('lambda=', num2str( lambda(i,1)*1e6,'%.2f'),'um, Re(Ex)' ) )
xlabel('x (um)')
ylabel('y (um)')
zlabel('z (um)')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,5)
hold on;grid on;view (-38, 20);
PSI=real(Ey(:,:,:,i));
slice(x*1e6,y*1e6,z*1e6,PSI,[0],[0],[0])
title( strcat('lambda=', num2str( lambda(i,1)*1e6,'%.2f'),'um, Re(Ey)' ) )
xlabel('x (um)')
ylabel('y (um)')
zlabel('z (um)')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,3,6)
hold on;grid on;view (-38, 20);
PSI=real(Ez(:,:,:,i));
slice(x*1e6,y*1e6,z*1e6,PSI,[0],[0],[0])
title( strcat('lambda=', num2str( lambda(i,1)*1e6,'%.2f'),'um, Re(Ez)' ) )
xlabel('x (um)')
ylabel('y (um)')
zlabel('z (um)')
end
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