[RFEDA原创]FDTD迷你代码-1D UPML

SFB~ ->db  
clear; 1_o],?Q  
clc; :9O#ObFR  
c=3e8; pf
%=h |  
m0=1e-7*4*pi; u5O+1sZ"6  
e0=1e-9/(36*pi); V[{6e  
eta0=120*pi; t0/p]=+.p/  
nz=100; =q>'19^Jx  
na=10;%absorbing boundary qmnZAk  
ex=zeros(1,nz+1); PpGL/,]X  
hy=zeros(1,nz); EqyeJq .  
lambda=1;%wavelength z{
[xze-f  
f=c/lambda; zAK+8{,  
omega=2*pi*f; 3[\iQ*d }B  
nd=20; &)8:h+&Z  
d=lambda/nd; ZW-yP2  
s=1; _p#CwExuy  
dt=s*d/c; )'Oh`$M  
cb=dt/(d*e0); c]$i\i#  
cq=dt/(d*m0); @Py/K /  
fh=@(t)(heaviside(t).*sin(t).*((heaviside(t)-heaviside(t-6*pi)).*(1-cos(pi*t/(6*pi)))/2+heaviside(t-6*pi))); vqnw#U4`  
fh=@(t)(fh(omega.*t)); U1@IX4^2`  
m=1; y)F;zW<+  
sigmamax=(m+1)/(150*pi*d); n1qQ+(xC  
sigma=sigmamax*((na-1:-1:0)/(na-1)).^m; ?Y)vGlWDW<  
sigmam=sigma*m0/e0; 6BY-^"W5`  
kappa=1; `sUZuWL_  
ca0=(e0*kappa/dt-(sigma(1:end-1)+sigma(2:end))/2)./(e0*kappa/dt+(sigma(1:end-1)+sigma(2:end))/2); S\''e`Eb"5  
cb0=1/d./(e0*kappa/dt+(sigma(1:end-1)+sigma(2:end))/2); {kp-h2I,  
cp0=(m0*kappa/dt-sigmam/2)./(m0*kappa/dt+sigmam/2); VcAue!MN  
cq0=1/d./(m0*kappa/dt+sigmam/2); iDN;m`a  
ca1=fliplr(ca0); l/BLUl~z  
cb1=fliplr(cb0); #,S0HDDHn  
cp1=fliplr(cp0); ZtV9&rd7  
cq1=fliplr(cq0); _]04lGx27  
h=plot(ex); * 1T&  
set(gca,'ylim',[-2,2]); &Flglj~7l  
for n=0:500 ^g*pGrl#  
    ex(1)=fh(n*dt); 5j:0Yt  
    ex(2:end-na)=ex(2:end-na)-cb*diff(hy(1:end-na+1)); 4FEk5D  
    ex(end-na+1:end-1)=ca1.*ex(end-na+1:end-1)-cb1.*diff(hy(end-na+1:end)); *7*lE"$p  
    hy(1:end-na)=hy(1:end-na)-cq*diff(ex(1:end-na)); W!%]_I!&K  
    hy(end-na+1:end)=cp1 .. uG?_< mun  
kv8Fko
 

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