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Diffstat (limited to 'openEMS/matlab/examples/waveguide/Circ_Waveguide.m')
-rw-r--r-- | openEMS/matlab/examples/waveguide/Circ_Waveguide.m | 207 |
1 files changed, 207 insertions, 0 deletions
diff --git a/openEMS/matlab/examples/waveguide/Circ_Waveguide.m b/openEMS/matlab/examples/waveguide/Circ_Waveguide.m new file mode 100644 index 0000000..9ee860e --- /dev/null +++ b/openEMS/matlab/examples/waveguide/Circ_Waveguide.m @@ -0,0 +1,207 @@ +% +% EXAMPLE / waveguide / circular waveguide +% +% This example demonstrates how to: +% - setup a circular waveguide +% - use analytic functions for waveguide excitations and voltage/current +% calculations +% +% +% Tested with +% - Matlab 2009b +% - openEMS v0.0.17 +% +% (C) 2010 Thorsten Liebig <thorsten.liebig@uni-due.de> + +close all +clear +clc + +%% switches & options... +postprocessing_only = 0; +use_pml = 0; % use pml boundaries instead of mur +openEMS_opts = ''; +% openEMS_opts = [openEMS_opts ' --disable-dumps']; + +%% setup the simulation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +numTS = 1e5; %number of timesteps +length = 1000; %length of the waveguide +unit = 1e-3; %drawing unit used +rad = 300; %radius of the circular waveguide +mesh_res = [10 10 15]; %desired mesh resolution + +%excitation +f0 = 350e6; %center frequency +f0_BW = 25e6; %bandwidth: 10dB cut-off frequency + +physical_constants + +%% TE11 mode definitions (Pozar 3rd edition) +p11 = 1.841; +kc = p11 / rad /unit; +k = 2*pi*f0/C0; +fc = C0*kc/2/pi; +beta = sqrt(k^2 - kc^2); +n_eff = (beta/k); + +kc = kc*unit; %functions must be defined in drawing units +func_Er = [ num2str(-1/kc^2) '/rho*cos(a)*j1(' num2str(kc) '*rho)']; +func_Ea = [ num2str(1/kc) '*sin(a)*0.5*(j0(' num2str(kc) '*rho)-jn(2,' num2str(kc) '*rho))']; +func_Ex = ['(' func_Er '*cos(a) - ' func_Ea '*sin(a) )*(rho<' num2str(rad) ')']; +func_Ey = ['(' func_Er '*sin(a) + ' func_Ea '*cos(a) )*(rho<' num2str(rad) ')']; + +func_Ha = [ num2str(-1/kc^2,'%14.13f') '/rho*cos(a)*j1(' num2str(kc,'%14.13f') '*rho)']; +func_Hr = [ '-1*' num2str(1/kc,'%14.13f') '*sin(a)*0.5*(j0(' num2str(kc,'%14.13f') '*rho)-jn(2,' num2str(kc,'%14.13f') '*rho))']; +func_Hx = ['(' func_Hr '*cos(a) - ' func_Ha '*sin(a) )*(rho<' num2str(rad) ')']; +func_Hy = ['(' func_Hr '*sin(a) + ' func_Ha '*cos(a) )*(rho<' num2str(rad) ')']; + +%% define files and path %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +Sim_Path = 'tmp'; +Sim_CSX = 'Circ_WG.xml'; + +if (postprocessing_only==0) + [status, message, messageid] = rmdir(Sim_Path,'s'); + [status, message, messageid] = mkdir(Sim_Path); +end + +%% setup FDTD parameter & excitation function %%%%%%%%%%%%%%%%%%%%%%%%%%%%% +FDTD = InitFDTD(numTS,1e-6,'OverSampling',5); +FDTD = SetGaussExcite(FDTD,f0,f0_BW); +BC = {'PEC','PEC','PEC','PEC','PEC','MUR'}; +if (use_pml>0) + BC = {'PEC','PEC','PEC','PEC','PEC','PML_8'}; +end +FDTD = SetBoundaryCond(FDTD,BC,'MUR_PhaseVelocity',C0 / n_eff); + +%% setup CSXCAD geometry & mesh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +CSX = InitCSX(); +mesh.x = -mesh_res(1)/2-rad:mesh_res(1):rad+mesh_res(1)/2; +mesh.y = -mesh_res(2)/2-rad:mesh_res(2):rad+mesh_res(2)/2; +mesh.z = 0 : mesh_res(3) : length; +CSX = DefineRectGrid(CSX, 1e-3,mesh); + +start = [0,0,0]; +stop = [0,0,length]; + +%%% fill everything with copper, priority 0 +CSX = AddMetal(CSX,'copper'); +% CSX = SetMaterialProperty(CSX,'copper','Kappa',56e6); +CSX = AddBox(CSX,'copper',0,[mesh.x(1) mesh.y(1) mesh.z(1)],[mesh.x(end) mesh.y(end) mesh.z(end)]); + +%%% cut out an air cylinder as circular waveguide... priority 5 +CSX = AddMaterial(CSX,'air'); +CSX = SetMaterialProperty(CSX,'air','Epsilon',1); +CSX = AddCylinder(CSX,'air', 5 ,start,stop,rad); + +CSX = AddExcitation(CSX,'excite',0,[1 1 0]); +weight{1} = func_Ex; +weight{2} = func_Ey; +weight{3} = 0; +CSX = SetExcitationWeight(CSX, 'excite', weight ); +CSX = AddCylinder(CSX,'excite', 5 ,[0 0 -0.1],[0 0 0.1],rad); + +%% define dump boxes... %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +CSX = AddDump(CSX,'Et_','SubSampling','2,2,2','FileType',0,'DumpMode',2); +start = [mesh.x(1) , 0 , mesh.z(1)]; +stop = [mesh.x(end), 0 , mesh.z(end)]; +CSX = AddBox(CSX,'Et_',0 , start,stop); + +CSX = AddDump(CSX,'Ht_','SubSampling','2,2,2','DumpType',1,'FileType',0,'DumpMode',2); +CSX = AddBox(CSX,'Ht_',0,start,stop); + +%% define voltage calc boxes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%voltage calc +start = [mesh.x(1) mesh.y(1) mesh.z(10)]; +stop = [mesh.x(end) mesh.y(end) mesh.z(10)]; +CSX = AddProbe(CSX, 'ut1', 10, 1, [], 'ModeFunction',{func_Ex,func_Ey,0}); +CSX = AddBox(CSX, 'ut1', 0 ,start,stop); +CSX = AddProbe(CSX,'it1', 11, 1, [], 'ModeFunction',{func_Hx,func_Hy,0}); +CSX = AddBox(CSX,'it1', 0 ,start,stop); + +start = [mesh.x(1) mesh.y(1) mesh.z(end-10)]; +stop = [mesh.x(end) mesh.y(end) mesh.z(end-10)]; +CSX = AddProbe(CSX, 'ut2', 10, 1, [], 'ModeFunction',{func_Ex,func_Ey,0}); +CSX = AddBox(CSX, 'ut2', 0 ,start,stop); +CSX = AddProbe(CSX,'it2', 11, 1, [], 'ModeFunction',{func_Hx,func_Hy,0}); +CSX = AddBox(CSX,'it2', 0 ,start,stop); + +port_dist = mesh.z(end-10) - mesh.z(10); + +%% Write openEMS +if (postprocessing_only==0) + WriteOpenEMS([Sim_Path '/' Sim_CSX],FDTD,CSX); + + RunOpenEMS(Sim_Path, Sim_CSX, openEMS_opts); +end + +%% do the plots %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +freq = linspace(f0-f0_BW,f0+f0_BW,201); +U = ReadUI({'ut1','ut2'},[Sim_Path '/'],freq); +I = ReadUI({'it1','it2'},[Sim_Path '/'],freq); +Exc = ReadUI('et',Sim_Path,freq); + +k = 2*pi*freq/C0; +kc = p11 / rad /unit; +beta = sqrt(k.^2 - kc^2); + +ZL_a = Z0*k./beta ; + +uf1 = U.FD{1}.val./Exc.FD{1}.val; +uf2 = U.FD{2}.val./Exc.FD{1}.val; +if1 = I.FD{1}.val./Exc.FD{1}.val; +if2 = I.FD{2}.val./Exc.FD{1}.val; + +uf1_inc = 0.5 * ( uf1 + if1 .* ZL_a ); +if1_inc = 0.5 * ( if1 + uf1 ./ ZL_a ); +uf2_inc = 0.5 * ( uf2 + if2 .* ZL_a ); +if2_inc = 0.5 * ( if2 + uf2 ./ ZL_a ); + +uf1_ref = uf1 - uf1_inc; +if1_ref = if1 - if1_inc; +uf2_ref = uf2 - uf2_inc; +if2_ref = if2 - if2_inc; + +% plot s-parameter +figure +s11 = uf1_ref./uf1_inc; +s21 = uf2_inc./uf1_inc; +plot(freq,20*log10(abs(s11)),'Linewidth',2); +xlim([freq(1) freq(end)]); +xlabel('frequency (Hz)') +ylabel('s-para (dB)'); +% ylim([-40 5]); +grid on; +hold on; +plot(freq,20*log10(abs(s21)),'r','Linewidth',2); +legend('s11','s21','Location','SouthEast'); + +% plot line-impedance comparison +figure() +ZL = uf1./if1; +plot(freq,real(ZL),'Linewidth',2); +xlim([freq(1) freq(end)]); +xlabel('frequency (Hz)') +ylabel('line-impedance (\Omega)'); +grid on; +hold on; +plot(freq,imag(ZL),'r--','Linewidth',2); +plot(freq,ZL_a,'g-.','Linewidth',2); +legend('\Re\{ZL\}','\Im\{ZL\}','ZL-analytic','Location','Best'); + +% beta compare +figure() +da = angle(uf1_inc)-angle(uf2_inc); +da = mod(da,2*pi); +beta_12 = (da)/port_dist/unit; +plot(freq,beta_12,'Linewidth',2); +xlim([freq(1) freq(end)]); +xlabel('frequency (Hz)'); +ylabel('\beta (m^{-1})'); +grid on; +hold on; +plot(freq,beta,'g--','Linewidth',2); +legend('\beta-FDTD','\beta-analytic','Location','Best'); + +%% visualize electric & magnetic fields +disp('you will find vtk dump files in the simulation folder (tmp/)') +disp('use paraview to visulaize them'); |