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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,101 +1,138 @@ | ||
| %physical constants | ||
| clear all; | ||
| close all; | ||
| load 'conductive-receivers.mat'; | ||
| c0 = 2.998e8; | ||
| eta0 = 120*pi; | ||
| mu0 = pi*4e-7; | ||
| eps0 = 1e-9/(36*pi); | ||
| %box dimensions | ||
| width = 0.05; % 30cm | ||
| height = 0.05; | ||
| length = 0.002; % 1cm | ||
| %source parameters | ||
| f0 = 6e9; % GHz | ||
| tw = 0.5e-8/pi; | ||
| t0 = 4*tw; | ||
| %spatial discretization | ||
| adipose = 10; | ||
| tumor = 60; | ||
| sigma = 1; | ||
| epsr = tumor; | ||
| w = 2 * pi * f0; | ||
| k = (w/c0)*sqrt(epsr-1j*sigma/(w*eps0)); | ||
| beta = real(k); | ||
| c = w / beta; | ||
| lambda = c/f0; | ||
| dxmax = lambda / 10; | ||
| dx = dxmax; | ||
| dy = dx; | ||
| dz = dx; | ||
| nx = round(width/dx); | ||
| ny = round(height/dy); | ||
| nz = round(length/dz); | ||
| % material | ||
| eps = ones(nx,ny,nz) * eps0 * adipose; | ||
| sigma = ones(nx,ny,nz) * f0 * 1e-9 * 0.5 - 0.5; | ||
| %temporal discretization | ||
| dt = 0.95/(c*sqrt(dx^-2+dy^-2+dz^-2)); | ||
| %EM field dimensions | ||
| Hx = zeros(nx,ny,nz); | ||
| Hy = zeros(nx,ny,nz); | ||
| Hz = zeros(nx,ny,nz); | ||
| Ex = zeros(nx,ny,nz); | ||
| Ey = zeros(nx,ny,nz); | ||
| Ez = zeros(nx,ny,nz); | ||
| %iteration | ||
| i = 0; | ||
| for n=1:1:n_iter | ||
| %magnetic field derivatives | ||
| Hxy = diff(Hx,1,2); | ||
| Hxz = diff(Hx,1,3); | ||
| Hzx = diff(Hz,1,1); | ||
| Hzy = diff(Hz,1,2); | ||
| Hyx = diff(Hy,1,1); | ||
| Hyz = diff(Hy,1,3); | ||
| %electric field maxwell equations | ||
| epsi = eps(:,2:end-1,2:nz-1); | ||
| ksi = (dt * sigma(:,2:end-1,2:nz-1)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ex(:,2:end-1,2:end-1) = c1.*Ex(:,2:end-1,2:nz-1) - c2.*((1/dy)*Hzy(:,1:end-1,2:end-1) - (1/dz)*Hyz(:,2:ny-1,1:end-1)); | ||
|
|
||
| epsi = eps(2:end-1,:,2:end-1); | ||
| ksi = (dt * sigma(2:end-1,:,2:end-1)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ey(2:end-1,:,2:end-1) = c1.*Ey(2:end-1,:,2:end-1) - c2.*((1/dz)*Hxz(2:end-1,:,1:end-1) - (1/dx)*Hzx(1:end-1,:,2:end-1)); | ||
|
|
||
| epsi = eps(2:end-1,2:end-1,:); | ||
| ksi = (dt * sigma(2:end-1,2:end-1,:)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ez(2:end-1,2:end-1,:) = c1.*Ez(2:end-1,2:end-1,:) - c2.*((1/dx)*Hyx(1:end-1,2:end-1,:) - (1/dy)*Hxy(2:end-1,1:end-1,:)); | ||
|
|
||
| %TR sources | ||
| for k=1:1:nrec | ||
| Ez(recx, recdy * k, recz) = Ez(recx, recdy * k, recz) + rec(k, n); | ||
| end | ||
|
|
||
| %electric field derivatives | ||
| Exy = diff(Ex,1,2); | ||
| Exz = diff(Ex,1,3); | ||
| Ezx = diff(Ez,1,1); | ||
| Ezy = diff(Ez,1,2); | ||
| Eyx = diff(Ey,1,1); | ||
| Eyz = diff(Ey,1,3); | ||
|
|
||
| %magnetic field maxwell equations | ||
| Hx(:,1:end-1,1:end-1) = Hx(:,1:end-1,1:end-1) + (dt/(mu0*dy))*Ezy(:,:,1:end-1) - (dt/(mu0*dz))*Eyz(:,1:end-1,:); | ||
| Hy(1:end-1,:,1:end-1) = Hy(1:end-1,:,1:end-1) + (dt/(mu0*dz))*Exz(1:end-1,:,:) - (dt/(mu0*dx))*Ezx(:,:,1:end-1); | ||
| Hz(1:end-1,1:end-1,:) = Hz(1:end-1,1:end-1,:) + (dt/(mu0*dx))*Eyx(:,1:end-1,:) - (dt/(mu0*dy))*Exy(1:end-1,:,:); | ||
| %display | ||
| if (mod(i,5)==0) | ||
| slice(:,:)=Ez(:,:,round(nz/2)); | ||
| pcolor(slice'); | ||
| colorbar; | ||
| drawnow | ||
| end | ||
| i = i+1; | ||
| disp(i) | ||
| end | ||
| %physical constants | ||
| clear all; | ||
| close all; | ||
| load 'withtumor.mat'; | ||
| load 'withouttumor.mat'; | ||
|
|
||
| c0 = 2.998e8; | ||
| eta0 = 120*pi; | ||
| mu0 = pi*4e-7; | ||
| eps0 = 1e-9/(36*pi); | ||
| %box dimensions | ||
| width = 0.5; % 30cm | ||
| height = 0.5; | ||
| length = 0.5; % 1cm | ||
| %source parameters | ||
| f0 = 1e9; % GHz | ||
| band = 2e9; | ||
| tw = sqrt(-log(0.1)/(pi*band)^2);%1e-8/pi; | ||
| t0 = 4*tw; | ||
| %spatial discretization | ||
| adipose = 5; | ||
| tumor = 10; | ||
| sigma = 5; | ||
| epsr = tumor; | ||
| w = 2 * pi * band; | ||
| k = (w/c0)*sqrt(epsr-1j*sigma/(w*eps0)); | ||
| beta = real(k); | ||
| c = w / beta; | ||
| lambda = c/f0; | ||
| dxmax = lambda / 20; | ||
| dx = dxmax; | ||
| dy = dx; | ||
| dz = dx; | ||
| nx = round(width/dx); | ||
| ny = round(height/dy); | ||
| nz = round(length/dz); | ||
|
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||
| %source position | ||
| srcx = round(nx / 2); | ||
| srcy = round( 3 * ny / 4); | ||
| srcz = round(nz / 2); | ||
|
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||
| % material | ||
| eps = ones(nx,ny,nz) * eps0; %* adipose; | ||
| sigma = zeros(nx,ny,nz);% * f0 * 1e-9 * 0.5 - 0.5; | ||
| %temporal discretization | ||
| dt = 0.99/(c0*sqrt(dx^-2+dy^-2+dz^-2)); | ||
|
|
||
| rec1 = trec - rec; | ||
| tau = 100e-12; | ||
| [foo,tp] = max(abs(rec1),[],2); | ||
| for k=1:1:nrec | ||
| recn(k,:) = exp(-((dt*((1:1:n_iter)-tp(k)))/tau).^2) .* rec1(k,:); | ||
| end | ||
| % hold on | ||
| % plot(rec(15,:)) | ||
| % plot(exp(-((dt*((1:1:n_iter)-tp(15)))/tau).^2)) | ||
| % draw now | ||
| % | ||
| % while 1 | ||
| % end | ||
|
|
||
|
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||
| %EM field dimensions | ||
| Hx = zeros(nx,ny,nz); | ||
| Hy = zeros(nx,ny,nz); | ||
| Hz = zeros(nx,ny,nz); | ||
| Ex = zeros(nx,ny,nz); | ||
| Ey = zeros(nx,ny,nz); | ||
| Ez = zeros(nx,ny,nz); | ||
| %iteration | ||
| i = 0; | ||
| for n=1:1:n_iter | ||
| %magnetic field derivatives | ||
| Hxy = diff(Hx,1,2); | ||
| Hxz = diff(Hx,1,3); | ||
| Hzx = diff(Hz,1,1); | ||
| Hzy = diff(Hz,1,2); | ||
| Hyx = diff(Hy,1,1); | ||
| Hyz = diff(Hy,1,3); | ||
| %electric field maxwell equations | ||
| epsi = eps(:,2:end-1,2:nz-1); | ||
| ksi = (dt * sigma(:,2:end-1,2:nz-1)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ex(:,2:end-1,2:end-1) = c1.*Ex(:,2:end-1,2:nz-1) - c2.*((1/dy)*Hzy(:,1:end-1,2:end-1) - (1/dz)*Hyz(:,2:ny-1,1:end-1)); | ||
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|
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| epsi = eps(2:end-1,:,2:end-1); | ||
| ksi = (dt * sigma(2:end-1,:,2:end-1)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ey(2:end-1,:,2:end-1) = c1.*Ey(2:end-1,:,2:end-1) - c2.*((1/dz)*Hxz(2:end-1,:,1:end-1) - (1/dx)*Hzx(1:end-1,:,2:end-1)); | ||
|
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||
| epsi = eps(2:end-1,2:end-1,:); | ||
| ksi = (dt * sigma(2:end-1,2:end-1,:)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ez(2:end-1,2:end-1,:) = c1.*Ez(2:end-1,2:end-1,:) - c2.*((1/dx)*Hyx(1:end-1,2:end-1,:) - (1/dy)*Hxy(2:end-1,1:end-1,:)); | ||
|
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||
| %TR sources | ||
| for k=1:nrec | ||
| Ez(recdx * k, recy, recz) = Ez(recdx * k, recy, recz) + recn(k, n_iter-n+1); | ||
| end | ||
| %Ez(recx, recdy , recz) | ||
| %rec(1,n_iter-n) | ||
| %electric field derivatives | ||
| Exy = diff(Ex,1,2); | ||
| Exz = diff(Ex,1,3); | ||
| Ezx = diff(Ez,1,1); | ||
| Ezy = diff(Ez,1,2); | ||
| Eyx = diff(Ey,1,1); | ||
| Eyz = diff(Ey,1,3); | ||
|
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||
| %magnetic field maxwell equations | ||
| Hx(:,1:end-1,1:end-1) = Hx(:,1:end-1,1:end-1) + (dt/(mu0*dy))*Ezy(:,:,1:end-1) - (dt/(mu0*dz))*Eyz(:,1:end-1,:); | ||
| Hy(1:end-1,:,1:end-1) = Hy(1:end-1,:,1:end-1) + (dt/(mu0*dz))*Exz(1:end-1,:,:) - (dt/(mu0*dx))*Ezx(:,:,1:end-1); | ||
| Hz(1:end-1,1:end-1,:) = Hz(1:end-1,1:end-1,:) + (dt/(mu0*dx))*Eyx(:,1:end-1,:) - (dt/(mu0*dy))*Exy(1:end-1,:,:); | ||
|
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||
| %display | ||
| if (mod(n,10)==0) | ||
| slice(:,:)=Ez(60:100,round(ny/2)-20:round(ny/2)+20,srcz); | ||
| pcolor(slice.'); | ||
| colorbar; | ||
| shading interp | ||
| drawnow | ||
| end | ||
| i = i+1; | ||
| disp(i) | ||
|
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||
| R(n) = varimax_norm(Ez(60:100,round(ny/2)-20:round(ny/2)+20,srcz)); | ||
| end | ||
|
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||
| figure;plot(R) | ||
|
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||
| function R = varimax_norm(Ez) | ||
| R = sum(sum(sum(Ez.^2)))^2 / sum(sum(sum(Ez.^4))); | ||
| end |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,140 @@ | ||
| %physical constants | ||
| clear all; | ||
| close all; | ||
| load 'withtumor.mat'; | ||
| load 'withouttumor.mat'; | ||
|
|
||
| c0 = 2.998e8; | ||
| eta0 = 120*pi; | ||
| mu0 = pi*4e-7; | ||
| eps0 = 1e-9/(36*pi); | ||
| %box dimensions | ||
| width = 0.5; % 30cm | ||
| height = 0.5; | ||
| length = 0.5; % 1cm | ||
| %source parameters | ||
| f0 = 1e9; % GHz | ||
| band = 2e9; | ||
| tw = sqrt(-log(0.1)/(pi*band)^2);%1e-8/pi; | ||
| t0 = 4*tw; | ||
| %spatial discretization | ||
| adipose = 5; | ||
| tumor = 10; | ||
| sigma = 0; | ||
| epsr = tumor; | ||
| w = 2 * pi * band; | ||
| k = (w/c0)*sqrt(epsr-1j*sigma/(w*eps0)); | ||
| beta = real(k); | ||
| c = w / beta; | ||
| lambda = c/f0; | ||
| dxmax = lambda / 20; | ||
| dx = dxmax; | ||
| dy = dx; | ||
| dz = dx; | ||
| nx = round(width/dx); | ||
| ny = round(height/dy); | ||
| nz = round(length/dz); | ||
|
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||
| %source position | ||
| srcx = round(nx / 2); | ||
| srcy = round( 3 * ny / 4); | ||
| srcz = round(nz / 2); | ||
|
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||
| % material | ||
| eps = ones(nx,ny,nz) * eps0; %* adipose; | ||
| sigma = zeros(nx,ny,nz);% * f0 * 1e-9 * 0.5 - 0.5; | ||
| %temporal discretization | ||
| dt = 0.99/(c0*sqrt(dx^-2+dy^-2+dz^-2)); | ||
|
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||
| rec1 = trec - rec; | ||
| tau = 20e-12; | ||
| [foo,tp] = max(abs(rec1),[],2); | ||
| for k=1:1:nrec | ||
| recn(k,:) = exp(-((dt*((1:1:n_iter)-tp(k)))/tau).^2) .* rec1(k,:); | ||
| end | ||
| % hold on | ||
| % plot(rec(15,:)) | ||
| % plot(exp(-((dt*((1:1:n_iter)-tp(15)))/tau).^2)) | ||
| % draw now | ||
| % | ||
| % while 1 | ||
| % end | ||
|
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||
|
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||
| %EM field dimensions | ||
| Hx = zeros(nx,ny,nz); | ||
| Hy = zeros(nx,ny,nz); | ||
| Hz = zeros(nx,ny,nz); | ||
| Ex = zeros(nx,ny,nz); | ||
| Ey = zeros(nx,ny,nz); | ||
| Ez = zeros(nx,ny,nz); | ||
| %iteration | ||
| i = 0; | ||
| for n=1:1:n_iter | ||
| %magnetic field derivatives | ||
| Hxy = diff(Hx,1,2); | ||
| Hxz = diff(Hx,1,3); | ||
| Hzx = diff(Hz,1,1); | ||
| Hzy = diff(Hz,1,2); | ||
| Hyx = diff(Hy,1,1); | ||
| Hyz = diff(Hy,1,3); | ||
| %electric field maxwell equations | ||
| epsi = eps(:,2:end-1,2:nz-1); | ||
| ksi = (dt * sigma(:,2:end-1,2:nz-1)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ex(:,2:end-1,2:end-1) = c1.*Ex(:,2:end-1,2:nz-1) - c2.*((1/dy)*Hzy(:,1:end-1,2:end-1) - (1/dz)*Hyz(:,2:ny-1,1:end-1)); | ||
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| epsi = eps(2:end-1,:,2:end-1); | ||
| ksi = (dt * sigma(2:end-1,:,2:end-1)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ey(2:end-1,:,2:end-1) = c1.*Ey(2:end-1,:,2:end-1) - c2.*((1/dz)*Hxz(2:end-1,:,1:end-1) - (1/dx)*Hzx(1:end-1,:,2:end-1)); | ||
|
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||
| epsi = eps(2:end-1,2:end-1,:); | ||
| ksi = (dt * sigma(2:end-1,2:end-1,:)) ./ ( 2 * epsi ); | ||
| c2 = (1./(1+ksi)).*(dt./epsi); | ||
| c1 = (1-ksi)./(1+ksi); | ||
| Ez(2:end-1,2:end-1,:) = c1.*Ez(2:end-1,2:end-1,:) - c2.*((1/dx)*Hyx(1:end-1,2:end-1,:) - (1/dy)*Hxy(2:end-1,1:end-1,:)); | ||
|
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||
| %TR sources | ||
| for k=1:nrec | ||
| Ez(recdx * k, recy, recz) = Ez(recdx * k, recy, recz) + recn(k, n_iter-n+1); | ||
| end | ||
| %Ez(recx, recdy , recz) | ||
| %rec(1,n_iter-n) | ||
| %electric field derivatives | ||
| Exy = diff(Ex,1,2); | ||
| Exz = diff(Ex,1,3); | ||
| Ezx = diff(Ez,1,1); | ||
| Ezy = diff(Ez,1,2); | ||
| Eyx = diff(Ey,1,1); | ||
| Eyz = diff(Ey,1,3); | ||
|
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||
| %magnetic field maxwell equations | ||
| Hx(:,1:end-1,1:end-1) = Hx(:,1:end-1,1:end-1) + (dt/(mu0*dy))*Ezy(:,:,1:end-1) - (dt/(mu0*dz))*Eyz(:,1:end-1,:); | ||
| Hy(1:end-1,:,1:end-1) = Hy(1:end-1,:,1:end-1) + (dt/(mu0*dz))*Exz(1:end-1,:,:) - (dt/(mu0*dx))*Ezx(:,:,1:end-1); | ||
| Hz(1:end-1,1:end-1,:) = Hz(1:end-1,1:end-1,:) + (dt/(mu0*dx))*Eyx(:,1:end-1,:) - (dt/(mu0*dy))*Exy(1:end-1,:,:); | ||
|
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||
| %display | ||
| if 1 %n>120 && n<160) | ||
| %slice(:,:)=Ez(30:60,round(ny/2)-20:round(ny/2)+3,srcz); | ||
| slice(:,:)=Ez(35:55,35:55,srcz); | ||
| pcolor(slice.'); | ||
| colorbar; | ||
| shading interp | ||
| drawnow | ||
| end | ||
| i = i+1; | ||
| disp(i) | ||
|
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||
| %R(n) = varimax_norm(Ez(30:56,round(ny/2)-20:round(ny/2)+3,srcz)); | ||
| R(n) = varimax_norm(Ez(35:55,35:55,srcz)); | ||
| end | ||
|
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||
| figure;plot(R) | ||
|
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||
| function R = varimax_norm(Ez) | ||
| R = sum(sum(sum(Ez.^2)))^2 / sum(sum(sum(Ez.^4))); | ||
| end |
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