Asymmetric Dielectric Slab Waveguides - Part 1 (Derivation using Optics techniques) скачать в хорошем качестве

Asymmetric Dielectric Slab Waveguides - Part 1 (Derivation using Optics techniques)

In this video, I am going to derive the universal b-v dispersion characteristics using optics techniques. This b-v dispersion characteristics should be applicable for both TE and TM modes. The following Matlab/Octave code can plot out the b-v dispersion curves for different asymmetry factors. You may find it useful: clc close all b = 0:0.01:1; % Value of b c = 0.98; % Value of c p = [0 1 10 100]; % Values of different a m_max = 8; %Maximum number of TE (or TM) modes figure() for m = 0:1:m_max % For m = 0 to m_max for ii = 1:4 a = p(ii); d = c-a*(1-c); x1 = atan((1/d)*sqrt((a+b)./(1-b))); x2 = atan((1/c)*sqrt(b./(1-b))); v = (x1+x2+m*pi)./sqrt(1-b); % Expression of V, x1 and x2 are part of expression plot(v,b); %plot(6.37,b); axis([0 20 0 1]); xlabel("Normalized Frequency, V"); ylabel("Normalized Propagation Constant, b"); grid on hold on end grid minor on; end