Fourier optics for diffraction pattern

  • Thread starter sphys
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I need to determine the diffraction pattern of 2 different kinds of prisms.
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?
 

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