diff options
Diffstat (limited to 'openEMS/matlab/examples/antennas/Patch_Antenna.m')
-rw-r--r-- | openEMS/matlab/examples/antennas/Patch_Antenna.m | 218 |
1 files changed, 218 insertions, 0 deletions
diff --git a/openEMS/matlab/examples/antennas/Patch_Antenna.m b/openEMS/matlab/examples/antennas/Patch_Antenna.m new file mode 100644 index 0000000..2011d6f --- /dev/null +++ b/openEMS/matlab/examples/antennas/Patch_Antenna.m @@ -0,0 +1,218 @@ +% +% EXAMPLE / antennas / patch antenna +% +% This example demonstrates how to: +% - calculate the reflection coefficient of a patch antenna +% +% +% Tested with +% - Matlab 2009b +% - Octave 3.3.52 +% - openEMS v0.0.23 +% +% (C) 2010,2011 Thorsten Liebig <thorsten.liebig@uni-due.de> + +close all +clear +clc + +%% switches & options... +postprocessing_only = 0; +draw_3d_pattern = 0; % this may take a while... +use_pml = 0; % use pml boundaries instead of mur +openEMS_opts = ''; + +%% setup the simulation +physical_constants; +unit = 1e-3; % all length in mm + +% width in x-direction +% length in y-direction +% main radiation in z-direction +patch.width = 32.86; % resonant length +patch.length = 41.37; + +substrate.epsR = 3.38; +substrate.kappa = 1e-3 * 2*pi*2.45e9 * EPS0*substrate.epsR; +substrate.width = 60; +substrate.length = 60; +substrate.thickness = 1.524; +substrate.cells = 4; + +feed.pos = -5.5; +feed.width = 2; +feed.R = 50; % feed resistance + +% size of the simulation box +SimBox = [100 100 25]; + +%% prepare simulation folder +Sim_Path = 'tmp'; +Sim_CSX = 'patch_ant.xml'; +if (postprocessing_only==0) + [status, message, messageid] = rmdir( Sim_Path, 's' ); % clear previous directory + [status, message, messageid] = mkdir( Sim_Path ); % create empty simulation folder +end + +%% setup FDTD parameter & excitation function +max_timesteps = 30000; +min_decrement = 1e-5; % equivalent to -50 dB +f0 = 0e9; % center frequency +fc = 3e9; % 20 dB corner frequency (in this case 0 Hz - 3e9 Hz) +FDTD = InitFDTD( 'NrTS', max_timesteps, 'EndCriteria', min_decrement ); +FDTD = SetGaussExcite( FDTD, f0, fc ); +BC = {'MUR' 'MUR' 'MUR' 'MUR' 'MUR' 'MUR'}; % boundary conditions +if (use_pml>0) + BC = {'PML_8' 'PML_8' 'PML_8' 'PML_8' 'PML_8' 'PML_8'}; % use pml instead of mur +end +FDTD = SetBoundaryCond( FDTD, BC ); + +%% setup CSXCAD geometry & mesh +% currently, openEMS cannot automatically generate a mesh +max_res = c0 / (f0+fc) / unit / 20; % cell size: lambda/20 +CSX = InitCSX(); +mesh.x = [-SimBox(1)/2 SimBox(1)/2 -substrate.width/2 substrate.width/2 feed.pos]; +% add patch mesh with 2/3 - 1/3 rule +mesh.x = [mesh.x -patch.width/2-max_res/2*0.66 -patch.width/2+max_res/2*0.33 patch.width/2+max_res/2*0.66 patch.width/2-max_res/2*0.33]; +mesh.x = SmoothMeshLines( mesh.x, max_res, 1.4); % create a smooth mesh between specified mesh lines +mesh.y = [-SimBox(2)/2 SimBox(2)/2 -substrate.length/2 substrate.length/2 -feed.width/2 feed.width/2]; +% add patch mesh with 2/3 - 1/3 rule +mesh.y = [mesh.y -patch.length/2-max_res/2*0.66 -patch.length/2+max_res/2*0.33 patch.length/2+max_res/2*0.66 patch.length/2-max_res/2*0.33]; +mesh.y = SmoothMeshLines( mesh.y, max_res, 1.4 ); +mesh.z = [-SimBox(3)/2 linspace(0,substrate.thickness,substrate.cells) SimBox(3) ]; +mesh.z = SmoothMeshLines( mesh.z, max_res, 1.4 ); +mesh = AddPML( mesh, [8 8 8 8 8 8] ); % add equidistant cells (air around the structure) +CSX = DefineRectGrid( CSX, unit, mesh ); + +%% create patch +CSX = AddMetal( CSX, 'patch' ); % create a perfect electric conductor (PEC) +start = [-patch.width/2 -patch.length/2 substrate.thickness]; +stop = [ patch.width/2 patch.length/2 substrate.thickness]; +CSX = AddBox(CSX,'patch',10,start,stop); + +%% create substrate +CSX = AddMaterial( CSX, 'substrate' ); +CSX = SetMaterialProperty( CSX, 'substrate', 'Epsilon', substrate.epsR, 'Kappa', substrate.kappa ); +start = [-substrate.width/2 -substrate.length/2 0]; +stop = [ substrate.width/2 substrate.length/2 substrate.thickness]; +CSX = AddBox( CSX, 'substrate', 0, start, stop ); + +%% create ground (same size as substrate) +CSX = AddMetal( CSX, 'gnd' ); % create a perfect electric conductor (PEC) +start(3)=0; +stop(3) =0; +CSX = AddBox(CSX,'gnd',10,start,stop); + +%% apply the excitation & resist as a current source +start = [feed.pos-.1 -feed.width/2 0]; +stop = [feed.pos+.1 +feed.width/2 substrate.thickness]; +[CSX] = AddLumpedPort(CSX, 5 ,1 ,feed.R, start, stop, [0 0 1], true); + +%% dump magnetic field over the patch antenna +CSX = AddDump( CSX, 'Ht_', 'DumpType', 1, 'DumpMode', 2); % cell interpolated +start = [-patch.width -patch.length substrate.thickness+1]; +stop = [ patch.width patch.length substrate.thickness+1]; +CSX = AddBox( CSX, 'Ht_', 0, start, stop ); + +%%nf2ff calc +[CSX nf2ff] = CreateNF2FFBox(CSX, 'nf2ff', -SimBox/2, SimBox/2); + +if (postprocessing_only==0) + %% write openEMS compatible xml-file + WriteOpenEMS( [Sim_Path '/' Sim_CSX], FDTD, CSX ); + + %% show the structure + CSXGeomPlot( [Sim_Path '/' Sim_CSX] ); + + %% run openEMS + RunOpenEMS( Sim_Path, Sim_CSX, openEMS_opts ); +end + +%% postprocessing & do the plots +freq = linspace( max([1e9,f0-fc]), f0+fc, 501 ); +U = ReadUI( {'port_ut1','et'}, 'tmp/', freq ); % time domain/freq domain voltage +I = ReadUI( 'port_it1', 'tmp/', freq ); % time domain/freq domain current (half time step is corrected) + +% plot time domain voltage +figure +[ax,h1,h2] = plotyy( U.TD{1}.t/1e-9, U.TD{1}.val, U.TD{2}.t/1e-9, U.TD{2}.val ); +set( h1, 'Linewidth', 2 ); +set( h1, 'Color', [1 0 0] ); +set( h2, 'Linewidth', 2 ); +set( h2, 'Color', [0 0 0] ); +grid on +title( 'time domain voltage' ); +xlabel( 'time t / ns' ); +ylabel( ax(1), 'voltage ut1 / V' ); +ylabel( ax(2), 'voltage et / V' ); +% now make the y-axis symmetric to y=0 (align zeros of y1 and y2) +y1 = ylim(ax(1)); +y2 = ylim(ax(2)); +ylim( ax(1), [-max(abs(y1)) max(abs(y1))] ); +ylim( ax(2), [-max(abs(y2)) max(abs(y2))] ); + +% plot feed point impedance +figure +Zin = U.FD{1}.val ./ I.FD{1}.val; +plot( freq/1e6, real(Zin), 'k-', 'Linewidth', 2 ); +hold on +grid on +plot( freq/1e6, imag(Zin), 'r--', 'Linewidth', 2 ); +title( 'feed point impedance' ); +xlabel( 'frequency f / MHz' ); +ylabel( 'impedance Z_{in} / Ohm' ); +legend( 'real', 'imag' ); + +% plot reflection coefficient S11 +figure +uf_inc = 0.5*(U.FD{1}.val + I.FD{1}.val * 50); +if_inc = 0.5*(I.FD{1}.val - U.FD{1}.val / 50); +uf_ref = U.FD{1}.val - uf_inc; +if_ref = I.FD{1}.val - if_inc; +s11 = uf_ref ./ uf_inc; +plot( freq/1e6, 20*log10(abs(s11)), 'k-', 'Linewidth', 2 ); +grid on +title( 'reflection coefficient S_{11}' ); +xlabel( 'frequency f / MHz' ); +ylabel( 'reflection coefficient |S_{11}|' ); + +P_in = 0.5*U.FD{1}.val .* conj( I.FD{1}.val ); + +%% NFFF contour plots %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +f_res_ind = find(s11==min(s11)); +f_res = freq(f_res_ind); + +% calculate the far field at phi=0 degrees and at phi=90 degrees +thetaRange = (0:2:359) - 180; +phiRange = [0 90]; +disp( 'calculating far field at phi=[0 90] deg...' ); +nf2ff = CalcNF2FF(nf2ff, Sim_Path, f_res, thetaRange*pi/180, phiRange*pi/180); + +Dlog=10*log10(nf2ff.Dmax); + +% display power and directivity +disp( ['radiated power: Prad = ' num2str(nf2ff.Prad) ' Watt']); +disp( ['directivity: Dmax = ' num2str(Dlog) ' dBi'] ); +disp( ['efficiency: nu_rad = ' num2str(100*nf2ff.Prad./real(P_in(f_res_ind))) ' %']); + +% display phi +figure +plotFFdB(nf2ff,'xaxis','theta','param',[1 2]); +drawnow + +if (draw_3d_pattern==0) + return +end + +%% calculate 3D pattern +phiRange = 0:2:360; +thetaRange = 0:2:180; +disp( 'calculating 3D far field...' ); +nf2ff = CalcNF2FF(nf2ff, Sim_Path, f_res, thetaRange*pi/180, phiRange*pi/180, 'Verbose',2,'Outfile','nf2ff_3D.h5'); +figure +plotFF3D(nf2ff); + + +%% visualize magnetic fields +% you will find vtk dump files in the simulation folder (tmp/) +% use paraview to visulaize them |