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Diffstat (limited to 'openEMS/matlab/Tutorials/Circ_Waveguide.m')
-rw-r--r-- | openEMS/matlab/Tutorials/Circ_Waveguide.m | 105 |
1 files changed, 105 insertions, 0 deletions
diff --git a/openEMS/matlab/Tutorials/Circ_Waveguide.m b/openEMS/matlab/Tutorials/Circ_Waveguide.m new file mode 100644 index 0000000..d61a713 --- /dev/null +++ b/openEMS/matlab/Tutorials/Circ_Waveguide.m @@ -0,0 +1,105 @@ +% +% Tutorials / Circ_Waveguide +% +% Describtion at: +% http://openems.de/index.php/Tutorial:_Circular_Waveguide +% +% Tested with +% - Matlab 2011a / Octave 3.4.3 +% - openEMS v0.0.31 +% +% (C) 2010-2013 Thorsten Liebig <thorsten.liebig@gmx.de> + +close all +clear +clc + +%% setup the simulation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +physical_constants; +unit = 1e-3; %drawing unit in mm + +% waveguide dimensions +length = 2000; +rad = 350; %waveguide radius in mm + +% frequency range of interest +f_start = 300e6; +f_stop = 500e6; + +mesh_res = [10 2*pi/49.999 10]; %targeted mesh resolution + +%% setup FDTD parameter & excitation function %%%%%%%%%%%%%%%%%%%%%%%%%%%%% +FDTD = InitFDTD('EndCriteria',1e-4,'CoordSystem',1); +FDTD = SetGaussExcite(FDTD,0.5*(f_start+f_stop),0.5*(f_stop-f_start)); + +% boundary conditions +BC = [0 0 0 0 3 3]; %pml in pos. and neg. z-direction +FDTD = SetBoundaryCond(FDTD,BC); + +%% setup CSXCAD mesh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +CSX = InitCSX('CoordSystem',1); % init a cylindrical mesh +mesh.r = SmoothMeshLines([0 rad], mesh_res(1)); %mesh in radial direction +mesh.a = SmoothMeshLines([0 2*pi], mesh_res(2)); % mesh in aziumthal dir. +mesh.z = SmoothMeshLines([0 length], mesh_res(3)); +CSX = DefineRectGrid(CSX, unit,mesh); + +%% apply the waveguide port %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +start=[mesh.r(1) mesh.a(1) mesh.z(8)]; +stop =[mesh.r(end) mesh.a(end) mesh.z(15)]; +[CSX, port{1}] = AddCircWaveGuidePort( CSX, 0, 1, start, stop, rad*unit, 'TE11', 0, 1); + +start=[mesh.r(1) mesh.a(1) mesh.z(end-13)]; +stop =[mesh.r(end) mesh.a(end) mesh.z(end-14)]; +[CSX, port{2}] = AddCircWaveGuidePort( CSX, 0, 2, start, stop, rad*unit, 'TE11'); + +%% define dump box... %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +CSX = AddDump(CSX,'Et','FileType',1,'SubSampling','4,4,4'); +start = [mesh.r(1) mesh.a(1) mesh.z(1)]; +stop = [mesh.r(end) mesh.a(end) mesh.z(end)]; +CSX = AddBox(CSX,'Et',0 , start,stop); + +%% Write openEMS compatoble xml-file %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +Sim_Path = 'tmp'; +Sim_CSX = 'circ_wg.xml'; + +[status, message, messageid] = rmdir(Sim_Path,'s'); +[status, message, messageid] = mkdir(Sim_Path); + +WriteOpenEMS([Sim_Path '/' Sim_CSX],FDTD,CSX); + +RunOpenEMS(Sim_Path, Sim_CSX) + +%% postproc %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +freq = linspace(f_start,f_stop,201); +port = calcPort( port, Sim_Path, freq); + +s11 = port{1}.uf.ref./ port{1}.uf.inc; +s21 = port{2}.uf.ref./ port{1}.uf.inc; +ZL = port{1}.uf.tot./port{1}.if.tot; + + +%% plot s-parameter %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +figure +plot(freq*1e-6,20*log10(abs(s11)),'k-','Linewidth',2); +xlim([freq(1) freq(end)]*1e-6); +grid on; +hold on; +plot(freq*1e-6,20*log10(abs(s21)),'r--','Linewidth',2); +l = legend('S_{11}','S_{21}','Location','Best'); +set(l,'FontSize',12); +ylabel('S-Parameter (dB)','FontSize',12); +xlabel('frequency (MHz) \rightarrow','FontSize',12); + +%% compare analytic and numerical wave-impedance %%%%%%%%%%%%%%%%%%%%%%%%%% +figure +plot(freq*1e-6,real(ZL),'Linewidth',2); +hold on; +grid on; +plot(freq*1e-6,imag(ZL),'r--','Linewidth',2); +plot(freq*1e-6,port{1}.ZL,'g-.','Linewidth',2); +ylabel('ZL (\Omega)','FontSize',12); +xlabel('frequency (MHz) \rightarrow','FontSize',12); +xlim([freq(1) freq(end)]*1e-6); +l = legend('\Re(Z_L)','\Im(Z_L)','Z_L analytic','Location','Best'); +set(l,'FontSize',12); + |