Problem

Replace the cosine grating in the previous problem with a "square" bar grating, th...

Replace the cosine grating in the previous problem with a "square" bar grating, that is, a series of many fine alternating opaque and transparent bands of equal width. We now filter out all terms in the transform plane but the zeroth and the two first-order diffraction spots. These we determine to have relative irradianccs of 1.00, 0.36, and 0.36: compare them with Figs. 7.32a and 7.33. Derive an expression for the general shape of the irradiance distribution on the image plane—make a sketch of it. What will the resulting fringe system look like?

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