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Diffraction efficiency of random binary-amplitude diffracting screens

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Abstract

The diffraction characteristics of random binary-amplitude diffracting screens are investigated. It is shown that, for such a random diffracting screen with complex amplitude transmittance t equal to either 0 or 1, the diffraction efficiency of the screen is maximized when 50% of the screen has transmittance t = 1, independent of other characteristics of the screen. The maximum diffraction efficiency equals 1/4. For this result to hold the screen must be adequately modeled by a stationary binary random process.

© 1994 Optical Society of America

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