General Slits

The equation for the intensity function for N slits is

I(θ) = Im ((sin α)/α)2 ((sin Nβ)/sin β)2 (3)

As a computational exercise, use MATLAB or EXCEL to plot the relative intensity function I(θ) / Im represented by Equation (3). The equation should be cast in a form where the program inputs are β/α and a/λ.

Plot the equation results for values of α between 0 and 4π for N = 1, 2, and 4.

Describe how your results change as you vary a/λ, β/α and N.