📄 disprel_modes1.m
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% function used by plot_modes.m to find the waveguide beta and plot the
% modes
function F = disprel(beta)
global h e1 u1 e2 u2 e3 u3 k0 kc ks kf phis phic m
ks = sqrt(beta^2-(e3*u3)*k0^2);
kc = sqrt(beta^2-(e1*u1)*k0^2);
kf = sqrt(-beta^2+(e2*u2)*k0^2);
phis = atan(ks*u2/kf/u3);
phic = atan(kc*u2/kf/u1);
F = kf*h-phis-phic-m*pi; % dispersion relation
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