Photon counting statistics of gaussian light

  • Bédard G
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{I}t is well known that the photocount distribution associated with
the photoelectric detection of fluctuating light beams carries information
about the probability density of the light intensity. {I}n this paper,
we present an exact solution to a problem of particular interest
which arises in connection with the photoelectric detection of narrow-band
{G}aussian (thermal or pseudothermal) light, namely, the problem
of determining the photocount distribution when the counting-time
interval is not necessarily short compared to the coherence time
of the light. {T}he method developed in this paper is applied to
the case where the spectral profile of the light is {L}orentzian;
it leads to an exact expression for the photocount generating function
and it provides simple recurrence relations for the photocount distribution
and for its factorial moments.

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  • Gabriel Bédard

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