how to solve white light interferometer interference equation when white light is used.

HI

I want to solve an interference equation which is in the form of numerical integration and below are some variables with values

bandwidth range : 11.4 to 14.3

bandwidth range (k) : 11.4 to 14.3

sin(theta_not)=0.4

z: means the position so at each z position we have to calculate 'I'. we can use linspace for ramge of z.

I want to plot 'I' wrt 'z'

Below is the link of paper for reference.

https://www.sciencedirect.com/science/article/pii/S0143816612003521

Answer 1

[Rangesh]

Hello Ankit,

I understand that you would like to plot the interference function, which is a function of z. Below is the provided sample code to integrate the function:

z = 1:20;
I = zeros(size(z));

% In the given code, we iterate over the values of z and calculate the double integral 
% of the specified function for each z value. The results are stored in the array I.
for i = 1:numel(z)    
    fun = @(k, theta) z(i) ./ (k + theta);    
    I(i) = integral2(fun, 0, 1, 0, 1); 
end

%Finally, plotting the interference values against the corresponding z values
plot(z,I);
xlabel('z');
ylabel('Interference (I)');
title('Interference vs. z');

Attached the link on the function “intergral2” for your reference: https://www.mathworks.com/help/matlab/ref/integral2.html

I hope this resolves your query.

Thanks,

Rangesh.

[Ankit Raway]

Hello Rangesh , I already solved this one but really thanks for providing solution to it , I think your way is much more better than mine because I just used for loops for summation and discretized it.

Anyways do you use linkedln so that we can connect and discuss