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

Stochastic pulse models of a partially-coherent elementary field representation of pulse coherence

Carlos R. Fernández-Pousa
Opt. Express 21(8) 9390-9396 (2013)

Role of primary excitation statistics in the generation of antibunched and sub-Poisson light

M. C. Teich, B. E. A. Saleh, and J. Peřina
J. Opt. Soc. Am. B 1(3) 366-389 (1984)

Coherence properties of nonstationary light wave fields

Leonid Sereda, Mario Bertolotti, and Aldo Ferrari
J. Opt. Soc. Am. A 15(3) 695-705 (1998)

General interference law for nonstationary, separable optical fields

Vladimir Manea
J. Opt. Soc. Am. A 26(9) 1907-1914 (2009)

Intensity spectra after first-order dispersion of composite models of scalar cyclostationary light

Carlos R. Fernández-Pousa
J. Opt. Soc. Am. A 26(4) 993-1007 (2009)