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1. For a right angled prism.

2. For a symmetric prism

For a right angled prism, the transmission function is exp[2ipixa]*rect(x/d)

where d is the base width of the prism, a is a conastant. So the diffraction pattern can be found by determining the fourier transform of above function. I determined the Fourier transform using the convolution theorem.

For a symmetric prism, the transmission function is exp[2ipia(1-|x|)]*rect(x/d).

I am having trouble calculating the fourier transform for this function. Can someone help me please?