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ÒýÓûØÌû:
2Â¥: Originally posted by feixiaolin at 2013-11-02 18:04:26
°Ù¶È:  FDTD   Ê±ÓòÓÐÏÞ²î·Ö·¨ Ô´³ÌÐò

3Â¥2013-11-03 10:58:58
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feixiaolin

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°Ù¶È:  FDTD   Ê±ÓòÓÐÏÞ²î·Ö·¨ Ô´³ÌÐò
2Â¥2013-11-02 18:04:26
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sumin84

гæ (³õÈëÎÄ̳)

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3-D FDTD code with PEC boundaries

clear

%***********************************************************************
%     Fundamental constants
%***********************************************************************

cc=2.99792458e8;            %speed of light in free space
muz=4.0*pi*1.0e-7;          %permeability of free space
epsz=1.0/(cc*cc*muz);       %permittivity of free space

%***********************************************************************
%     Grid parameters
%***********************************************************************

ie=50;    %number of grid cells and Ex samples along x-direction
je=24;    %number of grid cells and Ey samples along y-direction
ke=10;    %number of grid cells and Ez samples along z-direction

ib=ie+1;    %grid boundary coordinates
jb=je+1;   
kb=ke+1;   

is=26;       %location of z-directed current source
js=13;       %location of z-directed current source

kobs=5;

dx=0.002;          %space increment of cubic lattice
dt=dx/(2.0*cc);    %time step

nmax=500;          %total number of time steps

%***********************************************************************
%     Differentiated Gaussian pulse excitation
%***********************************************************************

rtau=50.0e-12;
tau=rtau/dt;
ndelay=3*tau;
J0=-1.0;

%***********************************************************************
%     Material parameters
%***********************************************************************

eps=1.0;
sig=0.0;        

%***********************************************************************
%     Updating coefficients
%***********************************************************************

ca=(1.0-(dt*sig)/(2.0*epsz*eps))/(1.0+(dt*sig)/(2.0*epsz*eps));
cb=(dt/epsz/eps/dx)/(1.0+(dt*sig)/(2.0*epsz*eps));
da=1.0;
db=dt/muz/dx;

%***********************************************************************
%     Field arrays
%***********************************************************************

ex=zeros(ie,jb,kb);
ey=zeros(ib,je,kb);
ez=zeros(ib,jb,ke);
hx=zeros(ib,je,ke);
hy=zeros(ie,jb,ke);
hz=zeros(ie,je,kb);

%figure
%set(gcf,'DoubleBuffer','on')

%***********************************************************************
%     BEGIN TIME-STEPPING LOOP
%***********************************************************************

for n=1:nmax
   
%***********************************************************************
%     Update electric fields
%***********************************************************************

ex(1:ie,2:je,2:ke)=ca*ex(1:ie,2:je,2:ke)+...
                   cb*(hz(1:ie,2:je,2:ke)-hz(1:ie,1:je-1,2:ke)+...
                       hy(1:ie,2:je,1:ke-1)-hy(1:ie,2:je,2:ke));

ey(2:ie,1:je,2:ke)=ca*ey(2:ie,1:je,2:ke)+...
                   cb*(hx(2:ie,1:je,2:ke)-hx(2:ie,1:je,1:ke-1)+...
                       hz(1:ie-1,1:je,2:ke)-hz(2:ie,1:je,2:ke));
                    
ez(2:ie,2:je,1:ke)=ca*ez(2:ie,2:je,1:ke)+...
                   cb*(hx(2:ie,1:je-1,1:ke)-hx(2:ie,2:je,1:ke)+...
                       hy(2:ie,2:je,1:ke)-hy(1:ie-1,2:je,1:ke));
                    
ez(is,js,1:ke)=ez(is,js,1:ke)+...
               J0*(n-ndelay)*exp(-((n-ndelay)^2/tau^2));

%***********************************************************************
%     Update magnetic fields
%***********************************************************************

hx(2:ie,1:je,1:ke)=hx(2:ie,1:je,1:ke)+...
                   db*(ey(2:ie,1:je,2:kb)-ey(2:ie,1:je,1:ke)+...
                       ez(2:ie,1:je,1:ke)-ez(2:ie,2:jb,1:ke));
               
hy(1:ie,2:je,1:ke)=hy(1:ie,2:je,1:ke)+...
                   db*(ex(1:ie,2:je,1:ke)-ex(1:ie,2:je,2:kb)+...
                       ez(2:ib,2:je,1:ke)-ez(1:ie,2:je,1:ke));
               
hz(1:ie,1:je,2:ke)=hz(1:ie,1:je,2:ke)+...
                   db*(ex(1:ie,2:jb,2:ke)-ex(1:ie,1:je,2:ke)+...
                       ey(1:ie,1:je,2:ke)-ey(2:ib,1:je,2:ke));
                    
%***********************************************************************
%     Visualize fields
%***********************************************************************

timestep=int2str(n);
tview(:,=ez(:,:,kobs);
sview(:,=ez(:,js,;

subplot('position',[0.15 0.45 0.7 0.45]),imagesc(tview');
shading flat;
caxis([-1.0 1.0]);
colorbar;
axis image; axis xy;
title(['Ez(i,j,k=5), time step = ',timestep]);
xlabel('i coordinate'); ylabel('j coordinate');

subplot('position',[0.15 0.10 0.7 0.25]),imagesc(sview');
shading flat;
caxis([-1.0 1.0]);
colorbar;
axis image; axis xy;
title(['Ez(i,j=13,k), time step = ',timestep]);
xlabel('i coordinate'); ylabel('k coordinate');

pause(0.05)

%***********************************************************************
%     END TIME-STEPPING LOOP
%***********************************************************************

end
4Â¥2014-10-07 16:11:09
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5Â¥2015-10-21 15:27:14
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