# Dielectric slab waveguide modes

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Rizwan il 17 Lug 2013
Hi,
I am new to waveguide and I want to plot the mode profiles of slab waveguide as shown in this figure http://wwwhome.math.utwente.nl/~hammer/Metric/Fig/tefEy00L.gif. Can some one please help me in this manner. I have made a code but it was not working. Code is given below. Thanks in advance.
n1c=1.77;
n2s=1.45;
n3cd=1.0;
d=2.0*10^-6;
lambda=1.00*10^-6;
c=3*10^8;
f=c/lambda;
omega=2*pi*f;
k0=omega/c;
neff=n2s:0.00001:n1c;
beta=k0.*neff;
r=sqrt((beta.^2)-(k0^2*n3cd^2));
q=sqrt(((k0^2)*n1c^2)-(beta.^2));
p=sqrt((beta.^2)-(k0^2*n2s^2));
x=-5*10^-6:2.0*10^-6:4*d;
Ey=zeros(length(x),length(r));
for i=1:length(x)
if (x(i)<0)
Ey(i,:)=exp(r*x(i));
% Ef1=Ey;
elseif (0<=x(i) )&& (x(i)<=2*d)
Ey(i,:)=cos(q*x(i))+sin(q*x(i));
% Ef2=Ey;
else
Ey(i,:)=(cos(2*d*q)+sin(2*d*q)).*exp(-p*(x(i)-(2*d)));
% Ef3=Ey;
end
end
% Ef=[Ef1 Ef2 Ef3];
mesh (abs(Ey));
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

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### Risposte (1)

I think you first need to solve the equations and find the propogation constant \beta for the modes and than plot the fields with constant p, q and h.
##### 2 CommentiMostra NessunoNascondi Nessuno
Rizwan il 17 Lug 2013
I think beta will be calculated according to Neff which is varying in between n1c and n2s. If you have any idea then please help me.
Modificato: Elad il 17 Lug 2013
The image you attached seems like a field profile of a single mode, (single beta) See if this helps: http://www.mathworks.com/matlabcentral/fileexchange/12734-waveguide-mode-solver

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