Question

(a) Compute the far-field (Fraunhofer) diffraction pattern on a screen at location z due to a rectangular aperture of width b at z = 0. Assume the aperture is uniformly illuminated by a plane wave at normal incidence to the aperture. You may restrict your calculation to one dimension. (b) Write down the far-field diffraction pattern if the aperture is instead a pair of narrow slits separated by a distance a. (c) Use the convolution theorem to write down the far-field diffraction of an aperture consisting of two parallel slits of width b with centers separated by distance a.

          (a) Compute the far-field (Fraunhofer) diffraction pattern on a screen at location z due to a rectangular aperture of width b at z = 0. Assume the aperture is uniformly illuminated by a plane wave at normal incidence to the aperture. You may restrict your calculation to one dimension.
(b) Write down the far-field diffraction pattern if the aperture is instead a pair of narrow slits separated by a distance a.
(c) Use the convolution theorem to write down the far-field diffraction of an aperture consisting of two parallel slits of width b with centers separated by distance a.

$(a) Compute the far-field (Fraunhofer) diffraction pattern on a screen at location z due to a rectangular aperture of width b at z = 0. Assume the aperture is uniformly illuminated by a plane wave at normal incidence to the aperture. You may restrict your calculation to one dimension. (b) Write down the far-field diffraction pattern if the aperture is instead a pair of narrow slits separated by a distance a. (c) Use the convolution theorem to write down the far-field diffraction of an aperture consisting of two parallel slits of width b with centers separated by distance a.$

Added by James R.

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