513.001 Molecular and Solid State Physics

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Physical
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Periodic System
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Determine the fourier transform of a periodic function

The function f(x,y) consists of squares arranged on a 2-D rectangular Bravais lattice. The sides of the squares has length l. The function has a value p inside the squares and is zero outside the squares. The squares do not overlap. Calculate the expression of the Fourier series of this function.

See: Fourier series in 2-D and 3-D