Calculate the one-dimensional Fourier transform of a pair of delta functions located at x-coordinate x = -d/2 and x = +d/2. Compare your expression with the result of (a) to suggest the link between the Fourier transform and Fraunhofer diffraction (no need to obtain a formal proof at this stage). Calculate the Fourier transform of a "top hat" function f(x), defined as
f(x) = { 1/w, -w/2 < x < w/2; 0 otherwise