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Evolution of the photon statistics of light propagating through a random medium

II. Diament-Teich and generalized Tatarski descriptions of the photon counting statistics as approximations of the exact solution. Exact photon counting statistics

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The descriptions of the photon statistics of light propagating through a random medium recently proposed byDiament andTeich and byTatarski are derived as useful approximations of the exact solution of propagation of light through a random medium developed in the preceding paper; they are shown to be valid for small fluctuations of the permittivity of the random medium. Moreover, it is shown that these approximate descriptions neglect the self-radiation of the random medium. The exact photodetection equation in the presence of a random medium is obtained, valid for arbitrary fluctuations of the permittivity including the contribution of the self-radiation of the random medium; particularly the photodetection equation for small fluctuations is obtained. It is also shown that the problem of propagation of light through a random medium is described by the model of the superposition of signal and noise under very general assumptions, and that in the strong-field limit the Diament-Teich, Tatarski and exact descriptions coincide.

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Peřina, J., Peřinová, V. & Horák, R. Evolution of the photon statistics of light propagating through a random medium. Czech J Phys 23, 993–1007 (1973). https://doi.org/10.1007/BF01586836

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  • DOI: https://doi.org/10.1007/BF01586836

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