question archive Problem 2 — Analytical Double—Slit Diffraction Calculation Calculate the far-field (i

Problem 2 — Analytical Double—Slit Diffraction Calculation Calculate the far-field (i

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Problem 2 — Analytical Double—Slit Diffraction Calculation Calculate the far-field (i.e. Fraunhofer) irradiance diffraction pattern from two rectangular slits that are illuminated by a plane wave of intensity 10. Each slit has the dimensions 01 x Dz and the slits are separated along the x-axis by an amount (1. IllI y D,_ r X 1 - d 1 Hints: a) Since the expression for the Fraunhofer pattern involves calculating the two- dimensional Fourier transform of the electric field, the illuminating plane wave must be expressed in electric field, and will have an amplitude of E . b} You should perform your calculation in a manner similar to what was described in lecture for diffraction from a single rectangle. That is, simply calculate the two- dimensional Fourier transform of a single rectangular aperture that is shifted by dlz in the positive x—direction, add it to the Fourier transform of a second rectangular aperture that is shifted by -d/2 in the negative x-direction, and calculate the squared magnitude of the result.

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