2. (Problem 5.1.2) Prove that if g(x) = f(x - a), then G(E) = F(E)e-ica, where capital letters denote Fourier transforms
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2. (Problem 5.1.2) Prove that if g(x) = f(x - a), then G(E) = F(E)e-ica, where capital letters denote Fourier transforms
2. (Problem 5.1.2) Prove that if g(x) = f(x - a), then G(E) = F(E)e-ica, where capital letters denote Fourier transforms. Hence explain what happens to a diffraction pattern if the aperture is shifted. 3. (Problem 5.1.4) The following figure contains the amplitude Fourier transforms of six capital letters that spell the name of an animal. Identify the animal. (Clue: found in southern hemisphere)
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