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+%
+% Tutorials / CPW_Line
+%
+% Describtion at:
+%
+% Tested with
+% - Octave 3.8.1
+% - openEMS v0.0.32
+%
+% (C) 2014 Thorsten Liebig <thorsten.liebig@gmx.de>
+
+close all
+clear
+clc
+
+%% setup the simulation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+physical_constants;
+unit = 1e-6; % specify everything in um
+CPW_length = 40000;
+CPW_port_length = 10000;
+CPW_width = 1000;
+CPW_gap = 140;
+substrate_thickness = 512;
+substrate_width = 5000
+substrate_epr = 3.66;
+f_max = 10e9;
+air_spacing = 7000
+
+% use a finite line CPW waveguide
+if 1
+ feed_R = 50;
+ pml_add_cells = [8 8 8 8 8 8];
+ feed_shift_cells = 0;
+ x_spacing = air_spacing;
+else % or use a waveguide with start/end in a pml
+ feed_R = inf; % CPW ends in a pml --> disable termination resitance
+ feed_shift_cells = 10; % CPW ends in an 8 cells thick pml --> shift feed 10 cells
+ pml_add_cells = [0 0 8 8 8 8]; % do not add air-space in x-direction
+ x_spacing = 0; % do not add air-space in x-direction
+end
+
+%% setup FDTD parameters & excitation function %%%%%%%%%%%%%%%%%%%%%%%%%%%%
+FDTD = InitFDTD('EndCriteria', 1e-4);
+FDTD = SetGaussExcite( FDTD, f_max/2, f_max/2 );
+BC = [2 2 2 2 2 2];
+FDTD = SetBoundaryCond( FDTD, BC );
+
+%% setup CSXCAD geometry & mesh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+CSX = InitCSX();
+resolution = c0/(f_max*sqrt(substrate_epr))/unit /30; % resolution of lambda/50
+edge_res = 40;
+mesh.x = SmoothMeshLines( [0 CPW_length/2 CPW_length/2+x_spacing], resolution, 1.5 ,0 );
+mesh.x = unique(sort([-mesh.x mesh.x]));
+mesh.y = SmoothMeshLines( [CPW_width/2+[-edge_res/3 +edge_res/3*2] CPW_gap+CPW_width/2+[-edge_res/3*2 +edge_res/3]], edge_res , 1.5 ,0);
+mesh.y = SmoothMeshLines( [0 mesh.y], edge_res*2, 1.3 ,0);
+mesh.y = SmoothMeshLines( [0 mesh.y substrate_width/2 substrate_width/2+air_spacing], resolution, 1.3 ,0);
+mesh.y = unique(sort([-mesh.y mesh.y]));
+mesh.z = SmoothMeshLines( [-air_spacing linspace(0,substrate_thickness,5) substrate_thickness+air_spacing], resolution );
+
+mesh = AddPML(mesh, pml_add_cells);
+CSX = DefineRectGrid( CSX, unit, mesh );
+
+%% substrate
+CSX = AddMaterial( CSX, 'RO4350B' );
+CSX = SetMaterialProperty( CSX, 'RO4350B', 'Epsilon', substrate_epr );
+start = [-CPW_length/2, -substrate_width/2, 0];
+stop = [+CPW_length/2, +substrate_width/2, substrate_thickness];
+CSX = AddBox( CSX, 'RO4350B', 0, start, stop );
+
+%%
+CSX = AddMetal( CSX, 'CPW_PORT' );
+
+%% CPW port, with the measurement plane at the end of each port
+portstart = [ -CPW_length/2 , -CPW_width/2, substrate_thickness];
+portstop = [ -CPW_length/2+CPW_port_length, CPW_width/2, substrate_thickness];
+[CSX,port{1}] = AddCPWPort( CSX, 999, 1, 'CPW_PORT', portstart, portstop, CPW_gap, 'x', [0 1 0], 'ExcitePort', true, 'FeedShift', feed_shift_cells*resolution, 'MeasPlaneShift', CPW_port_length, 'Feed_R', feed_R);
+
+portstart = [ CPW_length/2 , -CPW_width/2, substrate_thickness];
+portstop = [ CPW_length/2-CPW_port_length, CPW_width/2, substrate_thickness];
+[CSX,port{2}] = AddCPWPort( CSX, 999, 2, 'CPW_PORT', portstart, portstop, CPW_gap, 'x', [0 1 0], 'MeasPlaneShift', CPW_port_length, 'Feed_R', feed_R);
+
+%% CPW
+CSX = AddMetal( CSX, 'CPW');
+start = [ -CPW_length/2+CPW_port_length, -CPW_width/2, substrate_thickness];
+stop = [ +CPW_length/2-CPW_port_length, CPW_width/2, substrate_thickness];
+CSX = AddBox(CSX, 'CPW', 999, start, stop);
+
+%% CPW grounds
+CSX = AddMetal( CSX, 'GND' );
+start = [-CPW_length/2, -CPW_width/2-CPW_gap, substrate_thickness];
+stop = [+CPW_length/2, -substrate_width/2 , substrate_thickness];
+CSX = AddBox(CSX, 'GND', 999, start, stop);
+
+start = [-CPW_length/2, +CPW_width/2+CPW_gap, substrate_thickness];
+stop = [+CPW_length/2, +substrate_width/2 , substrate_thickness];
+CSX = AddBox(CSX, 'GND', 999, start, stop);
+
+%% write/show/run the openEMS compatible xml-file
+Sim_Path = 'tmp';
+Sim_CSX = 'CPW.xml';
+
+[status, message, messageid] = rmdir( Sim_Path, 's' ); % clear previous directory
+[status, message, messageid] = mkdir( Sim_Path ); % create empty simulation folder
+
+WriteOpenEMS( [Sim_Path '/' Sim_CSX], FDTD, CSX );
+CSXGeomPlot( [Sim_Path '/' Sim_CSX] );
+RunOpenEMS( Sim_Path, Sim_CSX );
+
+%% post-processing
+close all
+f = linspace( 1e6, f_max, 1601 );
+port = calcPort( port, Sim_Path, f, 'RefImpedance', 50);
+
+s11 = port{1}.uf.ref./ port{1}.uf.inc;
+s21 = port{2}.uf.ref./ port{1}.uf.inc;
+
+plot(f/1e9,20*log10(abs(s11)),'k-','LineWidth',2);
+hold on;
+grid on;
+plot(f/1e9,20*log10(abs(s21)),'r--','LineWidth',2);
+legend('S_{11}','S_{21}');
+ylabel('S-Parameter (dB)','FontSize',12);
+xlabel('frequency (GHz) \rightarrow','FontSize',12);
+
+