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4500PF02-1

# 4500PF02-1 - Fraunhofer Diffraction by Four Slits A metal...

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Fraunhofer Diffraction by Four Slits A metal plate in air contains four parallel slits, each of width a . The distance be- tween the slits is d with d = 4 a . The metal slit plate is illuminated at normal incidence by a plane wave of freespace wavelength λ . The transmittance of the slit plate is given by f 4 as shown in the figure. The transmittance is 100% (t = 1) within the slits and 0% (t = 0) elsewhere. Derive, showing all work, the amplitude of the far-field (Fraunhofer) diffraction pattern resulting from the diffraction of the plane wave by this amplitude transmittance function, f 4 . Express your answer as A ( k x ) where A ( k x ) is a function of a and k x only , where k x is the x -component of the diffracted wavevector. Derive, showing all work, the radiant intensity of the far-field (Fraunhofer) diffraction pattern resulting from the diffraction of the plane wave by this amplitude transmittance function, f 4 . Express your answer as I ( k x ) where I ( k x ) is a function of I 0 , a , and k x only , where I 0 is the far-field radiant intensity at

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4500PF02-1 - Fraunhofer Diffraction by Four Slits A metal...

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