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@ -1,12 +1,23 @@
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function UI = ReadUI(files, path)
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% function UI = ReadUI(files, path)
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function UI = ReadUI(files, path, freq)
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% function UI = ReadUI(files, path, freq)
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%
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% read current and voltages from multiple files found in path
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%
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% returns voltages/currents in time and frequency-domain
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%
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% remarks on the frequency-domain:
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% - all signals are assumed to start at t=0
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% - currents that e.g. start at t = +delta_t/2 will be phase shifted by
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% exp(-j*w*t(1))
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%
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% parameter:
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% freq (optional):
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% frequency-domain values will be calculated according to 'freq'
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% if 'freq' is not given, a FFT will be used
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%
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% e.g.
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% UI = ReadUI({'ut1_1','ut1_2','it1'},'tmp/');
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% U = ReadUI({'ut1_1','ut1_2'},'tmp' );
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% I = ReadUI('it1' ,'tmp',[0.5e9 1e9 1.5e9]);
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%
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% openEMS matlab interface
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% -----------------------
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@ -32,5 +43,13 @@ for n=1:numel(filenames)
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UI.TD{n}.t = t;
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UI.TD{n}.val = val;
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if (nargin<3)
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[UI.FD{n}.f,UI.FD{n}.val] = FFT_time2freq( t,val );
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else
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UI.FD{n}.f = freq;
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UI.FD{n}.val = DFT_time2freq( t, val, freq );
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end
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%correct phase error for time-shifted signals
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UI.FD{n}.val = UI.FD{n}.val .* exp(-1j*2*pi*UI.FD{n}.f * t(1));
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end
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@ -24,7 +24,7 @@ openEMS_opts = '';
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% openEMS_opts = [openEMS_opts ' --debug-operator'];
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% openEMS_opts = [openEMS_opts ' --disable-dumps --engine=fastest'];
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openEMS_opts = [openEMS_opts ' --engine=sse-compressed'];
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openEMS_opts = [openEMS_opts ' --engine=fastest'];
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Sim_Path = 'tmp';
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Sim_CSX = 'coax.xml';
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@ -101,25 +101,18 @@ CSX = AddBox(CSX,'it1', 0 ,start,stop);
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WriteOpenEMS([Sim_Path '/' Sim_CSX],FDTD,CSX);
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%% cd to working dir and run openEMS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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savePath = pwd();
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cd(Sim_Path); %cd to working dir
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args = [Sim_CSX ' ' openEMS_opts];
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invoke_openEMS(args)
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cd(savePath);
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RunOpenEMS(Sim_Path,Sim_CSX,openEMS_opts);
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%% postproc & do the plots %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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UI = ReadUI({'ut1_1','ut1_2','it1'},'tmp/');
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UI = ReadUI({'ut1_1','ut1_2','it1'},Sim_Path);
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u_f = (UI.FD{1}.val + UI.FD{2}.val)/2; %averaging voltages to fit current
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i_f = UI.FD{3}.val;
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delta_t = UI.TD{3}.t(1) - UI.TD{1}.t(1); % half time-step (s)
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i_f2 = i_f .* exp(-1i*2*pi*UI.FD{1}.f*delta_t); % compensate half time-step advance of H-field
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ZL = Z0/2/pi/sqrt(epsR)*log(coax_rad_ai/coax_rad_i); %analytic line-impedance of a coax
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plot(UI.FD{1}.f,ZL*ones(size(u_f)),'g');
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hold on;
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grid on;
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Z = u_f./i_f2;
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Z = u_f./i_f;
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plot(UI.FD{1}.f,real(Z),'Linewidth',2);
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plot(UI.FD{1}.f,imag(Z),'r','Linewidth',2);
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xlim([0 2*f0]);
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@ -10,8 +10,8 @@ Z0 = sqrt(MUE0/EPS0);
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f0 = 0.5e9;
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epsR = 1;
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kappa = 0;
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abs_length = 500;
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length = 3000;
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port_dist = 1500;
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rad_i = 100;
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@ -24,6 +24,7 @@ mesh_res = [max_mesh 2*pi/N_alpha max_mesh];
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%% define and openEMS options %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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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-operator'];
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% openEMS_opts = [openEMS_opts ' --debug-material'];
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Sim_Path = 'tmp';
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@ -35,7 +36,7 @@ end
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mkdir(Sim_Path);
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%% setup FDTD parameter & excitation function %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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FDTD = InitCylindricalFDTD(1e5,1e-5,'OverSampling',10);
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FDTD = InitCylindricalFDTD(1e5,1e-6,'OverSampling',10);
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FDTD = SetGaussExcite(FDTD,f0,f0);
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BC = [0 0 1 1 0 0];
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FDTD = SetBoundaryCond(FDTD,BC);
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@ -49,34 +50,34 @@ mesh.z = 0 : mesh_res(3) : length;
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CSX = DefineRectGrid(CSX, 1e-3,mesh);
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%% fake pml %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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finalKappa = 0.3/abs_length^4;
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abs_length = 30*(mesh.z(2)-mesh.z(1))
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finalKappa = 0.3;
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finalSigma = finalKappa*MUE0/EPS0/epsR;
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CSX = AddMaterial(CSX,'pml');
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CSX = SetMaterialProperty(CSX,'pml','Kappa',finalKappa,'Epsilon',epsR);
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CSX = SetMaterialProperty(CSX,'pml','Kappa',finalKappa+kappa,'Epsilon',epsR);
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CSX = SetMaterialProperty(CSX,'pml','Sigma',finalSigma);
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CSX = SetMaterialWeight(CSX,'pml','Kappa',['pow(abs(z)-' num2str(length-abs_length) ',4)']);
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CSX = SetMaterialWeight(CSX,'pml','Sigma',['pow(abs(z)-' num2str(length-abs_length) ',4)']);
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CSX = SetMaterialWeight(CSX,'pml','Kappa',['pow(abs(z)-' num2str(length-abs_length) ',4)/' num2str(abs_length^4)]);
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CSX = SetMaterialWeight(CSX,'pml','Sigma',['pow(abs(z)-' num2str(length-abs_length) ',4)/' num2str(abs_length^4)]);
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start = [rad_i mesh.y(1) length-abs_length];
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stop = [rad_a mesh.y(end) length];
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CSX = AddBox(CSX,'pml',0 ,start,stop);
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%% material
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CSX = AddMaterial(CSX,'fill');
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CSX = SetMaterialProperty(CSX,'fill','Epsilon',epsR);
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CSX = SetMaterialProperty(CSX,'fill','Epsilon',epsR,'Kappa',kappa);
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start = [mesh.x(1) mesh.y(1) 0];
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stop = [mesh.x(end) mesh.y(end) length];
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CSX = AddBox(CSX,'fill',0 ,start,stop);
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start = [rad_i mesh.y(1) 0];
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stop = [rad_a mesh.y(end) 0];
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%% apply the excitation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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CSX = AddExcitation(CSX,'excite',0,[1 0 0]);
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weight{1} = '1/rho';
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weight{2} = 0;
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weight{3} = 0;
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CSX = SetExcitationWeight(CSX, 'excite', weight );
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start = [rad_i mesh.y(1) 0];
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stop = [rad_a mesh.y(end) 0];
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CSX = AddBox(CSX,'excite',0 ,start,stop);
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%% define dump boxes... %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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@ -97,35 +98,38 @@ CSX = AddProbe(CSX,'ut1_2',0);
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start = [ rad_i 0 port_dist+mesh_res(3) ];stop = [ rad_a 0 port_dist+mesh_res(3) ];
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CSX = AddBox(CSX,'ut1_2', 0 ,start,stop);
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CSX = AddProbe(CSX,'ut_ex',0);
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start = [ rad_i 0 0 ];stop = [ rad_a 0 0 ];
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CSX = AddBox(CSX,'ut_ex', 0 ,start,stop);
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% current calc
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CSX = AddProbe(CSX,'it1',1);
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mid = 0.5*(rad_i+rad_a);
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start = [ 0 mesh.y(1) port_dist ];stop = [ mid mesh.y(end) port_dist ];
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CSX = AddBox(CSX,'it1', 0 ,start,stop);
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%Write openEMS compatoble xml-file
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%% run openEMS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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WriteOpenEMS([Sim_Path '/' Sim_CSX],FDTD,CSX);
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%% cd to working dir and run openEMS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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savePath = pwd();
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cd(Sim_Path); %cd to working dir
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args = [Sim_CSX ' ' openEMS_opts];
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invoke_openEMS(args);
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cd(savePath);
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RunOpenEMS(Sim_Path,Sim_CSX,openEMS_opts);
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%% postproc & do the plots %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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UI = ReadUI({'ut1_1','ut1_2','it1'},'tmp/');
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UI = ReadUI({'ut1_1','ut1_2','it1'},Sim_Path);
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plot(UI.TD{1}.t,UI.TD{1}.val)
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UI_ex = ReadUI({'ut_ex'},'tmp/');
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hold on;
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plot(UI_ex.TD{1}.t,UI_ex.TD{1}.val,'r--');
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u_f = (UI.FD{1}.val + UI.FD{2}.val)/2; %averaging voltages to fit current
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i_f = UI.FD{3}.val;
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delta_t = UI.TD{3}.t(1) - UI.TD{1}.t(1); % half time-step (s)
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i_f2 = i_f .* exp(-1i*2*pi*UI.FD{1}.f*delta_t); % compensate half time-step advance of H-field
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figure
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ZL = Z0/2/pi/sqrt(epsR)*log(rad_a/rad_i); %analytic line-impedance of a coax
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plot(UI.FD{1}.f,ZL*ones(size(u_f)),'g');
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hold on;
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grid on;
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Z = u_f./i_f2;
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Z = u_f./i_f;
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plot(UI.FD{1}.f,real(Z),'Linewidth',2);
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plot(UI.FD{1}.f,imag(Z),'r','Linewidth',2);
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xlim([0 2*f0]);
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@ -127,9 +127,6 @@ RunOpenEMS(Sim_Path, Sim_CSX, openEMS_opts);
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U = ReadUI('ut1','tmp/');
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I = ReadUI('it1','tmp/');
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delta_t_2 = I.TD{1}.t(1) - U.TD{1}.t(1); % half time-step (s)
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I.FD{1}.val = I.FD{1}.val .* exp(-1i*2*pi*I.FD{1}.f*delta_t_2); % compensate half time-step advance of H-field
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Z = U.FD{1}.val./I.FD{1}.val;
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f = U.FD{1}.f;
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L = imag(Z)./(f*2*pi);
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