📄 sa_ex2_3.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%% ****************************************************** %%%% * Smart Antennas for Wireless Applications w/ Matlab * %%%% ****************************************************** %%%% %%%% Chapter 2: Ex 2.3 %%%% %%%% Author: Frank Gross %%%% McGraw-Hill, 2005 %%%% Date: 11/13/2004 %%%% %%%% This code creates Figure 2.13, a plot of the standing %%%% wave pattern for plane wave at normal incidence to %% %% dielectric boundary where n2 = .5n1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%----------------- Define Variables: ---------------------%%% n2 - normalized impedance of medium 2 in terms of n1 %% R - complex reflection coefficient %% angle - angle of reflection coefficient %% bz - range of propagation where b is phase constant %% env - envelope total field in region 1 % %%---------------------------------------------------------%%%%----- Given Values -----%%n2 = 0.5; bz = -4*pi:.001:0;%%----- Determine Reflection Coefficient and Angle -----%%R = (n2-1)/(n2+1);angle = atan2(imag(R),real(R));%%----- Create Envelope of Total Field in Region 1 -----%%env=sqrt(1+abs(R)^2+2*abs(R)*cos(2*bz+angle));%%----- Plot Results -----%%figure(1), plot(bz,env,'k')xlabel('\betaz'), ylabel('|E_1|')title('\bfFigure 2.13 - Standing Wave Pattern for Normal Incidence (\eta_2 = .5\eta_1)')axis([-4*pi 0 0 1.5]), grid on
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