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时域有限差分法 FDTD
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请教一个用MATLAB编的一维FDTD程序(有程序)
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请教一个用MATLAB编的一维FDTD程序(有程序)
离线
martinloong
UID :45883
注册:
2009-11-05
登录:
2022-04-17
发帖:
117
等级:
仿真二级
0楼
发表于: 2009-11-14 15:42:00
要仿真一个一维的FDTD传播问题,想根据这个改动一下,在距离高斯点源15cm的地方加入一个相对介电常数为9,厚度为5CM的介质,边界条件由PEC改为吸收边界,请教大虾给条明路....
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% Define initial constants
K;?+8(H
eps_0 = 8.854187817e-12; % permittivity of free space
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mu_0 = 4*pi*1e-7; % permeability of free space
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c = 1/sqrt(mu_0*eps_0); % speed of light
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="+#W6bZT
% Define problem geometry and parameters
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domain_size = 0.6; % 1D problem space length in meters
?,z}%p
dx = 1e-3; % cell size in meters
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dt = 3e-12; % duration of time step in seconds
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number_of_time_steps = 2000; % number of iterations
{ 6il`>=C
nx = round(domain_size/dx); % number of cells in 1D problem space
kiEa<-]
source_position = 0.2; % position of the current source Jz
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% Initialize field and material arrays
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Ceze = zeros(nx+1,1);
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Cezhy = zeros(nx+1,1);
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Cezj = zeros(nx+1,1);
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Ez = zeros(nx+1,1);
%{W6PrY{
Jz = zeros(nx+1,1);
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eps_r_z = ones (nx+1,1); % free space
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sigma_e_z = zeros(nx+1,1); % free space
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Chyh = zeros(nx,1);
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Chyez = zeros(nx,1);
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Chym = zeros(nx,1);
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Hy = zeros(nx,1);
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My = zeros(nx,1);
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mu_r_y = ones (nx,1); % free space
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sigma_m_y = zeros(nx,1); % free space
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% Calculate FDTD updating coefficients
KI.unP%
Ceze = (2 * eps_r_z * eps_0 - dt * sigma_e_z) ...
}e1ZbmW
./(2 * eps_r_z * eps_0 + dt * sigma_e_z);
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+ {]j]OP
Cezhy = (2 * dt / dx) ...
iZmcI;?u
./(2 * eps_r_z * eps_0 + dt * sigma_e_z);
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Cezj = (-2 * dt) ...
?,/ }`3Vw
./(2 * eps_r_z * eps_0 + dt * sigma_e_z);
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Chyh = (2 * mu_r_y * mu_0 - dt * sigma_m_y) ...
Wwo0%<2y
./(2 * mu_r_y * mu_0 + dt * sigma_m_y);
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+`4A$#$+y
Chyez = (2 * dt / dx) ...
sOY:e/_F
./(2 * mu_r_y * mu_0 + dt * sigma_m_y);
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Chym = (-2 * dt) ...
?dTD\)%A
./(2 * mu_r_y * mu_0 + dt * sigma_m_y);
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\U0Q<ot/7
% Define the Gaussian source waveform
:RYTL'hes
time = dt*[0:number_of_time_steps-1].';
x`s>*^
Jz_waveform = exp(-((time-8e-11)/2e-11).^2);
, gHDx
source_position_index = round(nx*source_position/domain_size)+1;
_1^'(5f$
[g,}gyeS(
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Ez_positions = [0:nx]*dx;
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Hy_positions = ([0:nx-1]+0.5)*dx;
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v = [0 -0.1 -0.1; 0 -0.1 0.1; 0 0.1 0.1; 0 0.1 -0.1; ...
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1 -0.1 -0.1; 1 -0.1 0.1; 1 0.1 0.1; 1 0.1 -0.1];
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f = [1 2 3 4; 5 6 7 8];
=4!mAo}
axis([0 1 -0.2 0.2 -0.2 0.2]);
f$( e\++
lez = line(Ez_positions,Ez*0,Ez,'Color','b','LineWidth',1.5);
gw(z1L5 n
lhy = line(Hy_positions,377*Hy,Hy*0,'Color','r', ...
AA_%<zK
'LineWidth',1.5,'linestyle','-.');
{g6%(X\r.r
set(gca,'fontsize',12,'FontWeight','bold');
Cx"sw }
axis square;
al0L&z\
legend('E_{z}', 'H_{y} \times 377','Location','NorthEast');
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xlabel('x [m]');
}Z>)DN=+
ylabel('[A/m]');
A&{Nh` q
zlabel('[V/m]');
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grid on;
zs;JJk^
p = patch('vertices', v, 'faces', f, 'facecolor', 'g', 'facealpha',0.2);
pAEx#ck
~[: 2I
Dq xs+
% FDTD loop
1YA% -~
for time_step = 1:number_of_time_steps
@HW*09TG
Ac6=(B
if (0.35=<Ez_positions<=0.4)%%%%%这样改肯定不对...额
X&zis1A<
eps_r_z =9.*ones (nx+1,1);
Vl]>u+YqE
else
}u|q0>^8
eps_r_z=ones (nx+1,1);
'qi}|I
end
9uY'E'm*
% Update Jz for the current time step
:gT4K-Oj
Jz(source_position_index) = Jz_waveform(time_step);
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E^PB)D(.
% Update magnetic field
)jj0^f1!j
Hy(1:nx) = Chyh(1:nx) .* Hy(1:nx) ...
a.'*G6~Qgw
+ Chyez(1:nx) .* (Ez(2:nx+1) - Ez(1:nx)) ...
J4utIGF
+ Chym(1:nx) .* My(1:nx);
|qLh5Ty
0x7'^Z>-oe
% Update electric field
}G=M2V<L
Ez(2:nx) = Ceze (2:nx) .* Ez(2:nx) ...
N!3 2 wJ
+ Cezhy(2:nx) .* (Hy(2:nx) - Hy(1:nx-1)) ...
/?!u{(h }
+ Cezj(2:nx) .* Jz(2:nx);
l6B@qYLZ
R]dg_Da
Ez(1) ..
)"LJ hLg
:,^gj
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离线
martinloong
UID :45883
注册:
2009-11-05
登录:
2022-04-17
发帖:
117
等级:
仿真二级
1楼
发表于: 2009-11-14 15:46:00
第78-82是源文件没有的,要删除
6,uX,X5
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