openEMS/matlab/Tutorials/RCS_Sphere.m

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%
% Tutorials / radar cross section of a metal sphere
%
% This tutorial is unfinished!
%
% Describtion at:
% http://openems.de/index.php/Tutorial:_RCS_Sphere
%
% Tested with
% - Matlab 2011a / Octave 3.4.3
% - openEMS v0.0.29
%
% (C) 2012 Thorsten Liebig <thorsten.liebig@uni-due.de>
close all
clear
clc
%% setup the simulation
physical_constants;
unit = 1e-3; % all length in mm
sphere.rad = 160;
% size of the simulation box
SimBox = 1000;
PW_Box = 500;
%% setup FDTD parameter & excitation function
f_start = 200e6; % start frequency
f_stop = 1000e6; % stop frequency
FDTD = InitFDTD( 30000 );
FDTD = SetGaussExcite( FDTD, 0.5*(f_start+f_stop), 0.5*(f_stop-f_start) );
BC = [1 1 1 1 1 1]*3; % set boundary conditions
FDTD = SetBoundaryCond( FDTD, BC );
%% setup CSXCAD geometry & mesh
% currently, openEMS cannot automatically generate a mesh
max_res = c0 / f_stop / unit / 20; % cell size: lambda/20
CSX = InitCSX();
%create fixed lines for the simulation box, substrate and port
mesh.x = SmoothMeshLines([-SimBox/2 0 SimBox/2], max_res);
mesh.y = mesh.x;
mesh.z = mesh.x;
%% create metal sphere
CSX = AddMetal( CSX, 'sphere' ); % create a perfect electric conductor (PEC)
CSX = AddSphere(CSX,'sphere',10,[0 0 0],sphere.rad);
%% plane wave excitation
k_dir = [1 0 0]; % plane wave direction --> x-direction
E_dir = [0 0 1]; % plane wave polarization --> E_z
CSX = AddPlaneWaveExcite(CSX, 'plane_wave', k_dir, E_dir);
start = [-PW_Box/2 -PW_Box/2 -PW_Box/2];
stop = -start;
CSX = AddBox(CSX, 'plane_wave', 0, start, stop);
%% dump boxes
CSX = AddDump(CSX, 'Et');
start = [mesh.x(1) mesh.y(1) 0];
stop = [mesh.x(end) mesh.y(end) 0];
CSX = AddBox(CSX, 'Et', 0, start, stop);
% add 8 lines in all direction as pml spacing
mesh = AddPML(mesh,8);
CSX = DefineRectGrid( CSX, unit, mesh );
%% prepare simulation folder
Sim_Path = 'Sphere_RCS';
Sim_CSX = 'Sphere_RCS.xml';
[status, message, messageid] = rmdir( Sim_Path, 's' ); % clear previous directory
[status, message, messageid] = mkdir( Sim_Path ); % create empty simulation folder
%% write openEMS compatible xml-file
WriteOpenEMS( [Sim_Path '/' Sim_CSX], FDTD, CSX );
%% show the structure
CSXGeomPlot( [Sim_Path '/' Sim_CSX] );
%% run openEMS
RunOpenEMS( Sim_Path, Sim_CSX);
%%
disp('Use Paraview to display the elctric fields dumped by openEMS');