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I'm attempting to plot a far-field intensity distribution using theoretical values, however I'm having difficulty with calculating the intensity using the following equation:

$$I = I_o \frac {sin^{2}{b}}{b^{2}} \frac {sin^{2}{Ny}}{sin^{2}{y}}$$

where:

$$y = \frac {kdX}{2f}$$

$$b = \frac {kaX}{2f}$$

$$X = f*theta$$

I've got values for the focal length, f, the slit width, a, the slit separation (periodicity), d, the number of slits, N, the wavelength of the light beam and the original intensity which has been normalised to 1.

I'm trying to find the maximal intensity, which I currently believe to be 400, given that N = 20, however I'm having difficulty finding the other maximal values (ideally up to 8 each side).

I understand the nature of the convolution theory, but not entirely sure how I can utilise it to derive the necessary results.

Any help would be much appreciated?

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# I Plotting a far-field Intensity distribution

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