update example: Rect_Waveguide
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Thorsten Liebig
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@ -1,36 +1,65 @@
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%
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% EXAMPLE / waveguide / Rect_Waveguide
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%
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% This example demonstrates:
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% - waveguide mode excitation
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% - waveguide mode matching
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% - pml absorbing boundaries
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%
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%
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% Tested with
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% - Matlab 2009b
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% - openEMS v0.0.17
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%
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% (C) 2010 Thorsten Liebig <thorsten.liebig@gmx.de>
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close all
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clear
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clc
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%% setup the simulation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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length = 2000;
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unit = 1e-3;
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a = 1000;
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width = a;
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b = 500;
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height = b;
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mesh_res = [10 10 10];
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%% switches
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postproc_only = 1;
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%define mode
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%% setup the simulation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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physical_constants;
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unit = 1e-3; %drawing unit in mm
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numTS = 50000; %max. number of timesteps
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% waveguide dimensions
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length = 2000;
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a = 1000; %waveguide width
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b = 600; %waveguide heigth
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%waveguide TE-mode definition
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m = 1;
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n = 0;
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EPS0 = 8.85418781762e-12;
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MUE0 = 1.256637062e-6;
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C0 = 1/sqrt(EPS0*MUE0);
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Z0 = sqrt(MUE0/EPS0);
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mesh_res = [10 10 10];
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f0 = 1e9;
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freq = linspace(f0-f0/3,f0+f0/3,201);
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%% setup FDTD parameters & excitation function %%%%%%%%%%%%%%%%%%%%%%%%%%%%
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f_start = 175e6;
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f_stop = 500e6;
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k = 2*pi*freq/C0;
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% dump special frequencies to vtk, use paraview (www.paraview.org) to
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% animate this dumps over phase
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vtk_dump_freq = [200e6 300e6 500e6];
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freq = linspace(f_start,f_stop,201);
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k = 2*pi*freq/c0;
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kc = sqrt((m*pi/a/unit)^2 + (n*pi/b/unit)^2);
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fc = C0*kc/2/pi;
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beta = sqrt(k.^2 - kc^2);
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fc = c0*kc/2/pi; %cut-off frequency
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beta = sqrt(k.^2 - kc^2); %waveguide phase-constant
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ZL_a = k * Z0 ./ beta; %analytic waveguide impedance
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ZL_a = k * Z0 ./ beta;
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disp([' Cutoff frequencies for this mode and wavguide is: ' num2str(fc/1e6) ' MHz']);
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if (f_start<fc)
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warning('openEMS:example','f_start is smaller than the cutoff-frequency, this may result in a long simulation... ');
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end
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%% mode functions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% by David M. Pozar, Microwave Engineering, third edition, page 113
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func_Ex = [num2str( n/b/unit) '*cos(' num2str(m*pi/a) '*x)*sin(' num2str(n*pi/b) '*y)'];
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func_Ey = [num2str(-m/a/unit) '*sin(' num2str(m*pi/a) '*x)*cos(' num2str(n*pi/b) '*y)'];
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@ -41,7 +70,7 @@ func_Hy = [num2str(n/b/unit) '*cos(' num2str(m*pi/a) '*x)*sin(' num2str(n*pi/b)
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openEMS_opts = '';
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% openEMS_opts = [openEMS_opts ' --disable-dumps'];
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% openEMS_opts = [openEMS_opts ' --debug-material'];
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openEMS_opts = [openEMS_opts ' --engine=fastest'];
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% openEMS_opts = [openEMS_opts ' --engine=basic'];
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Settings = [];
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Settings.LogFile = 'openEMS.log';
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@ -49,27 +78,29 @@ Settings.LogFile = 'openEMS.log';
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Sim_Path = 'tmp';
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Sim_CSX = 'rect_wg.xml';
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if (exist(Sim_Path,'dir'))
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rmdir(Sim_Path,'s');
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if (postproc_only==0)
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if (exist(Sim_Path,'dir'))
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rmdir(Sim_Path,'s');
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end
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mkdir(Sim_Path);
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end
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mkdir(Sim_Path);
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%% setup FDTD parameter & excitation function %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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FDTD = InitFDTD(50000,1e-5,'OverSampling',6);
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FDTD = SetGaussExcite(FDTD,f0,f0/3);
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FDTD = InitFDTD(numTS,1e-5,'OverSampling',6);
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FDTD = SetGaussExcite(FDTD,0.5*(f_start+f_stop),0.5*(f_stop-f_start));
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BC = [0 0 0 0 0 3];
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FDTD = SetBoundaryCond(FDTD,BC);
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%% setup CSXCAD geometry & mesh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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CSX = InitCSX();
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mesh.x = 0 : mesh_res(1) : width;
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mesh.y = 0 : mesh_res(2) : height;
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mesh.z = 0 : mesh_res(3) : length;
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mesh.x = SmoothMeshLines([0 a], mesh_res(1));
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mesh.y = SmoothMeshLines([0 b], mesh_res(2));
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mesh.z = SmoothMeshLines([0 length], mesh_res(3));
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CSX = DefineRectGrid(CSX, unit,mesh);
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%% apply the excitation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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start=[0 0 mesh.z(1) ];
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stop =[width height mesh.z(1) ];
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start=[mesh.x(1) mesh.y(1) mesh.z(1) ];
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stop =[mesh.x(end) mesh.y(end) mesh.z(1) ];
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CSX = AddExcitation(CSX,'excite',0,[1 1 0]);
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weight{1} = func_Ex;
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weight{2} = func_Ey;
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@ -78,6 +109,7 @@ CSX = SetExcitationWeight(CSX,'excite',weight);
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CSX = AddBox(CSX,'excite',0 ,start,stop);
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%% voltage and current definitions using the mode matching probes %%%%%%%%%
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%port 1
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start = [mesh.x(1) mesh.y(1) mesh.z(15)];
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stop = [mesh.x(end) mesh.y(end) mesh.z(15)];
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CSX = AddProbe(CSX, 'ut1', 10, 1, [], 'ModeFunction',{func_Ex,func_Ey,0});
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@ -85,6 +117,7 @@ CSX = AddBox(CSX, 'ut1', 0 ,start,stop);
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CSX = AddProbe(CSX,'it1', 11, 1, [], 'ModeFunction',{func_Hx,func_Hy,0});
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CSX = AddBox(CSX,'it1', 0 ,start,stop);
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%port 2
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start = [mesh.x(1) mesh.y(1) mesh.z(end-15)];
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stop = [mesh.x(end) mesh.y(end) mesh.z(end-15)];
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CSX = AddProbe(CSX, 'ut2', 10, 1, [], 'ModeFunction',{func_Ex,func_Ey,0});
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@ -94,18 +127,19 @@ CSX = AddBox(CSX,'it2', 0 ,start,stop);
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%% define dump boxes... %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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CSX = AddDump(CSX,'Et','FileType',1,'SubSampling','4,4,2');
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start = [mesh.x(1) , height/2 , mesh.z(1)];
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stop = [mesh.x(end) , height/2 , mesh.z(end)];
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start = [mesh.x(1) mesh.y(1) mesh.z(1)];
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stop = [mesh.x(end) mesh.y(end) mesh.z(end)];
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CSX = AddBox(CSX,'Et',0 , start,stop);
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CSX = AddDump(CSX,'Ht','DumpType',1,'FileType',1,'SubSampling','4,4,2');
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CSX = AddBox(CSX,'Ht',0,start,stop);
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%% Write openEMS compatoble xml-file %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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WriteOpenEMS([Sim_Path '/' Sim_CSX],FDTD,CSX);
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RunOpenEMS(Sim_Path, Sim_CSX, openEMS_opts, Settings)
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if (postproc_only==0)
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WriteOpenEMS([Sim_Path '/' Sim_CSX],FDTD,CSX);
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RunOpenEMS(Sim_Path, Sim_CSX, openEMS_opts, Settings)
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end
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%% postproc %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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U = ReadUI({'ut1','ut2'},[Sim_Path '/'],freq);
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@ -127,7 +161,7 @@ if1_ref = if1 - if1_inc;
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uf2_ref = uf2 - uf2_inc;
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if2_ref = if2 - if2_inc;
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%% plot s-parameter
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%% plot s-parameter %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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figure
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s11 = uf1_ref./uf1_inc;
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s21 = uf2_inc./uf1_inc;
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@ -141,7 +175,7 @@ legend('s11','s21','Location','SouthEast');
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ylabel('s-para (dB)');
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xlabel('freq (Hz)');
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%% compare analytic and numerical wave-impedance
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%% compare analytic and numerical wave-impedance %%%%%%%%%%%%%%%%%%%%%%%%%%
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ZL = uf1./if1;
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figure()
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plot(freq,real(ZL),'Linewidth',2);
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@ -154,3 +188,41 @@ xlabel('freq (Hz)');
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xlim([freq(1) freq(end)]);
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legend('\Re(Z_L)','\Im(Z_L)','Z_L analytic','Location','Best');
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%% Plot the field dumps %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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dump_file = [Sim_Path '/Et.h5'];
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figure()
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PlotArgs.slice = {a/2*unit b/2*unit 0};
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PlotArgs.pauseTime=0.01;
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PlotArgs.component=0;
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PlotArgs.Limit = 'auto';
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PlotHDF5FieldData(dump_file, PlotArgs)
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%% dump frequency to vtk %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% cleanup and create dump folder
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vtk_path = [Sim_Path '/vtk'];
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if exist(vtk_path,'dir')
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rmdir(vtk_path,'s');
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end
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mkdir(vtk_path);
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disp('Dumping to vtk files... this may take a minute...')
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% define interpolation mesh
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mesh_interp{1}=mesh.x * unit;
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mesh_interp{2}=b/2 * unit;
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mesh_interp{3}=mesh.z * unit;
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[field_FD mesh_FD] = ReadHDF5Dump(dump_file,'Interpolation',mesh_interp,'Frequency',vtk_dump_freq);
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% dump animated phase to vtk
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for n=1:numel(vtk_dump_freq)
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phase = linspace(0,360,21);
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phase = phase(1:end-1);
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for ph = phase
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filename = [vtk_path '/E_xz_f=' num2str(vtk_dump_freq(n)) '_p' num2str(ph) '.vtk'];
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Dump2VTK(filename,real(field_FD.values{n}.*exp(1j*ph/180*pi)),mesh_FD,'E-Field');
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end
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filename = [vtk_path '/E_xz_f=' num2str(vtk_dump_freq(n)) '_mag.vtk'];
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Dump2VTK(filename,abs(field_FD.values{n}),mesh_FD,'E-Field');
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end
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disp('done... you can open and visualize the vtk-files using Paraview (www.paraview.org)!')
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