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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 5 — May. 1, 2013
  • pp: 932–940

Nonstationary elementary-field light randomly triggered by Poisson impulses

Carlos R. Fernández-Pousa  »View Author Affiliations


JOSA A, Vol. 30, Issue 5, pp. 932-940 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000932


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Abstract

A stochastic theory of nonstationary light describing the random emission of elementary pulses is presented. The emission is governed by a nonhomogeneous Poisson point process determined by a time-varying emission rate. The model describes, in the appropriate limits, stationary, cyclostationary, locally stationary, and pulsed radiation, and reduces to a Gaussian theory in the limit of dense emission rate. The first- and second-order coherence theories are solved after the computation of second- and fourth-order correlation functions by use of the characteristic function. The ergodicity of second-order correlations under various types of detectors is explored and a number of observables, including optical spectrum, amplitude, and intensity correlations, are analyzed.

© 2013 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: January 17, 2013
Manuscript Accepted: March 11, 2013
Published: April 19, 2013

Citation
Carlos R. Fernández-Pousa, "Nonstationary elementary-field light randomly triggered by Poisson impulses," J. Opt. Soc. Am. A 30, 932-940 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-5-932


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