Generalized binomial distribution in photon statistics

• Authors: Aleksey Ilyin
• Languages of publication: EN

Abstracts

EN

The photon-number distribution between two parts of a given volume is found for an arbitrary photon statistics. This problem is related to the interaction of a light beam with a macroscopic device, for example a diaphragm, that separates the photon flux into two parts with known probabilities. To solve this problem, a Generalized Binomial Distribution (GBD) is derived that is applicable to an arbitrary photon statistics satisfying probability convolution equations. It is shown that if photons obey Poisson statistics then the GBD is reduced to the ordinary binomial distribution, whereas in the case of Bose- Einstein statistics the GBD is reduced to the Polya distribution. In this case, the photon spatial distribution depends on the phase-space volume occupied by the photons. This result involves a photon bunching effect, or collective behavior of photons that sharply differs from the behavior of classical particles. It is shown that the photon bunching effect looks similar to the quantum interference effect.

Keywords

EN

Bose-Einstein statistics; Polya distribution; photon bunching; quantum interference

Discipline

• 42.50.-p: Quantum optics(for lasers, see 42.55.-f and 42.60.-v; see also 42.65.-k Nonlinear optics; 03.65.-w Quantum mechanics)
• 02.50.-r: Probability theory, stochastic processes, and statistics(see also section 05 Statistical physics, thermodynamics, and nonlinear dynamical systems)
• 42.50.Ar: Photon statistics and coherence theory
• 05.30.-d: Quantum statistical mechanics(for quantum fluids aspects, see 67.10.Fj)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

published

1 - 1 - 2015

accepted

22 - 8 - 2014

received

24 - 4 - 2014

online

9 - 10 - 2014

Contributors

author

Aleksey Ilyin

• Moscow Institute for Physics and Technology, Dolgoprudny, Russia

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Identifiers

DOI

10.1515/phys-2015-0005