Overlap integral inside Matlab component

[Shayma Akram]

Hello,
I have interfaced Optisystem with Matlab, I want to know how to calculate the overlap integral using the data of the Inputport structure, inside Matlab component?

Attachments:

1. 

   FDTD-Equation-69.png
   

[Damian Marek]

This is basically a numerical integration of the electric field distribution of the input signal. The input signal’s field distribution is found under “InputPort1.Sampled.Spatial.ModeX.Amplitude”. If this is your first time with the Matlab component please go through all of the material on our website like the youtube videos etc. on the subject.

[Shayma Akram]

I have already collected the electric field distribution from InputPort1.Sampled.Spatial.ModeX.Amplitude, but I want to know how to calculate the Overlap Integral from the “InputPort1.Sampled.Spatial.ModeX.Amplitude” in Matlab. Is it by using trapz() function in Matlab?

[Damian Marek]

Exactly use trapz function

[Shayma Akram]

could you please check the following code:

xc = linspace(0,1,M);
yc = linspace(0,1,M);

A = E1 .* E2;

B = (trapz(xc,trapz(yc, abs(A))) ).^2;

C = trapz(xc,trapz(yc, abs(E1).^2)) * trapz(xc,trapz(yc, abs(E2).^2 ));

OI = B./C;

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