Quantum derivation of K-distributed noise for finite (N)
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Authors
Rockower, Edward B.
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1988-05
Date
1988-05
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Abstract
Semiclassical derivations of the fluctuations of light beams have relied on limiting procedures in which the average
number, (N), of scattering elements, photons, or superposed wave packets approaches infinity. We show that the
fluctuations of thermal light having a Bose-Einstein photon distribution and of light with an amplitude distribution
based on the modified Bessel functions, Kai, which has been found useful in describing light scattered from or
through turbulent media, may be derived with a quantum-mechanical analysis as the superposition of a random
number, N, of single-photon eigenstates with finite (N). The analysis also provides the P representation for Kdistributed
noise. Generalizations of K noise are proposed. The factor-of-2 increase in the photon-number second
factorial moment related to photon clumping in the Hanbury Brown-Twiss effect for thermal (Gaussian) fields is
shown to arise generally in these random superposition models, even for non-Gaussian fields.
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J. Opt. Soc. Am. A, Volume 5, No. 5, pp. 730-734 (May 1988)
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Department of Operations Research
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This research was supported in part by a contract from the U.S. Naval Sea Systems Command.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.