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Multilayer_Radome_Analysis_MASTER_V1_1.m
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% Program to calculate Transmission Loss, Insertion Phase Delay and Reflection
% for a multilayer radome.
% This program is a translation from 'Analysis of Radome-Enclosed Antennas'
% by Dennis J. Kozakoff, 1997, Artech House.
%
% Author: Dr Paul Klasmann
% Date: 05/11/2020 Version 1.1
%
% 1) Set N to equal the mumber of layers.
% 2) Set fl and fh to the lower and upper analysis frequency in GHz.
% 3) Set no_of_freq_points to a sensible value for the frequency range.
% 4) Setup the array values for the relative dielectric constant (er).
% 5) Setup the array values for the loss tangents (tand).
% 6) Setup the array values for the radome layer thicknesses (t) in mm.
close all
clear
clc
% Enter user variables here...
N = 5; % Enter number of layers
fl = 17; % Enter lower frequency in GHz
fh = 32; % Enter upper frequency in GHz
no_of_freq_points = 301; % Enter No. of frequency points
no_inc_ang = 3; % No. of incidence angles
ang_inc_step = 15; % Increment angle of incidence
% Enter the dielectric contatant/permitivity for each layer
er1 = 4.0; er2 = 1.1; er3 = 4.0; er4 = 1.1; er5 = 4.0;
% Enter the loss tangent/tand for each layer
tand1 = 0.003; tand2 = 0.001; tand3 = 0.003; tand4 = 0.001; tand5 = 0.003;
% Enter the layer thickness in mm for each layer
t1 = 0.24; t2 = 2.1; t3 = 0.48; t4 = 2.1; t5 = 0.24;
er = [er1, er2, er3, er4, er5] % Enter dielectric constants
tand = [tand1, tand2, tand3, tand4, tand5] % Enter tand values (loss tangent)
t = [t1, t2, t3, t4, t5] % Enter layer thickness in mm
% End of user variables
finc = (fh-fl)/no_of_freq_points; % Frequency increment
eo = 8.854e-12; % Permativity of free space (F/m)
RAD = pi/180; % For degree to radians conversion
% Begin Calculation
for pol = 0:1 % Pol=0 for Perpendicular Polarization
array_index = 0; % Pol=1 for parallel polarization
for f = fl:finc:fh
array_index = array_index + 1;
LAM = 300/f; % Lambda is wavelength in mm
Ko = (2*pi/LAM); % Ko is wavenumber in mm^(-1)
ANGLE = 0; % Initialize first incident angle to calculate
for angle_index = 1:no_inc_ang;
theta = ANGLE * RAD; % Theta is angle of incidence in radians
% Call function sub_wall to perform main calculations
[Tw, IPD, Rw] = sub_wall(theta, f, er, tand, Ko, t, N, pol);
TwdB(array_index, angle_index) = 20 * log10(Tw);
IPDdeg(array_index, angle_index) = -IPD / RAD;
RwdB(array_index, angle_index) = 20 * log10(Rw);
if(IPDdeg(array_index, angle_index) == -360)
IPDdeg(array_index, angle_index) = 0;
end
ANGLE = ANGLE + ang_inc_step; % Increment angle of incidence
end % END ANGLE LOOP
end % END f LOOP
f = fl:finc:fh;
% Transmission Loss for perpendicular polarisation
if (pol == 0)
% Plot TL for perpendicular polarisation
figure
for angle_index = 1:no_inc_ang;
plot(f, TwdB(1:end,angle_index))
hold on;
end
grid on
set(gca,'linewidth',2, 'fontsize', 14, 'XTick', fl:1:fh)
legendtext = ['0 degrees'; '15 degrees'; '30 degrees'; '45 degrees'; '60 degrees'; '75 degrees'];
legend( legendtext, 'location', 'southeast' );
title('Transmission Loss for Perpendicular Polarization','FontSize', 16);
xlabel('Frequency (GHz)','FontSize', 14);
ylabel('Transmission Loss (dB)','FontSize', 14);
drawnow
% Plot IPD for perpendicular polarisation
figure
for angle_index = 1:no_inc_ang;
plot(f, IPDdeg(1:end,angle_index))
hold on;
end
grid on
set(gca,'linewidth',2, 'fontsize', 14, 'XTick', fl:1:fh)
legendtext = ['0 degrees'; '15 degrees'; '30 degrees'; '45 degrees'; '60 degrees'; '75 degrees'];
legend( legendtext, 'location', 'southeast' );
title('Insertion Phase Delay for Perpendicular Polarization','FontSize', 16);
xlabel('Frequency (GHz)','FontSize', 14);
ylabel('Insertion Phase Delay (degrees)','FontSize', 14);
drawnow
% Plot Reflection for perpendicular polarisation
figure
for angle_index = 1:no_inc_ang;
plot(f, RwdB(1:end,angle_index))
hold on;
end
grid on
set(gca,'linewidth',2, 'fontsize', 14, 'XTick', fl:1:fh)
legendtext = ['0 degrees'; '15 degrees'; '30 degrees'; '45 degrees'; '60 degrees'; '75 degrees'];
legend( legendtext, 'location', 'southeast' );
title('Reflection for Perpendicular Polarization','FontSize', 16);
xlabel('Frequency (GHz)','FontSize', 14);
ylabel('Return Loss (dB)','FontSize', 14);
drawnow
% Transmission Loss for Parallel Polarisation
elseif pol == 1
% Plot TL for parallel polarisation
figure
for angle_index = 1:no_inc_ang;
plot(f, TwdB(1:end,angle_index))
hold on;
end
grid on
set(gca,'linewidth',2, 'fontsize', 14, 'XTick', fl:1:fh)
legendtext = ['0 degrees'; '15 degrees'; '30 degrees'; '45 degrees'; '60 degrees'; '75 degrees'];
legend( legendtext, 'location', 'southeast' );
title('Transmission Loss for Parallel Polarization','FontSize', 16);
xlabel('Frequency (GHz)','FontSize', 14);
ylabel('Transmission Loss (dB)','FontSize', 14);
drawnow
% Plot IPD for parallel polarisation
figure
for angle_index = 1:no_inc_ang;
plot(f, IPDdeg(1:end,angle_index))
hold on;
end
grid on
set(gca,'linewidth',2, 'fontsize', 14, 'XTick', fl:1:fh)
legendtext = ['0 degrees'; '15 degrees'; '30 degrees'; '45 degrees'; '60 degrees'; '75 degrees'];
legend( legendtext, 'location', 'southeast' );
title('Insertion Phase Delay for Parallel Polarization','FontSize', 16);
xlabel('Frequency (GHz)','FontSize', 14);
ylabel('Insertion Phase Delay (degrees)','FontSize', 14);
drawnow
% Plot Reflection for parallel polarisation
figure
for angle_index = 1:no_inc_ang;
plot(f, RwdB(1:end,angle_index))
hold on;
end
grid on
set(gca,'linewidth',2, 'fontsize', 14, 'XTick', fl:1:fh)
legendtext = ['0 degrees'; '15 degrees'; '30 degrees'; '45 degrees'; '60 degrees'; '75 degrees'];
legend( legendtext, 'location', 'southeast' );
title('Reflection for Parallel Polarization','FontSize', 16);
xlabel('Frequency (GHz)','FontSize', 14);
ylabel('Return Loss (dB)','FontSize', 14);
drawnow
end
end % END pol LOOP