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Phys. Rev. A 14, 383–392 (1976)

Functional approach to nonlinear stochastic processes. Application to a single-mode laser

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F. T. Arecchi*, M. Asdente, and A. M. Ricca
Centro Informazioni Studi Esperienze, 20100 Milan, Italy

Received 15 March 1976; published in the issue dated July 1976

We introduce a generalized version of the Volterra-Wiener functional expansion and show its fruitfulness in the treatment of nonlinear stochastic processes. As an application we derive in a simple way the statistical properties of the single-mode laser radiation both in the steady state and in the transient regime. Besides deriving already known results with good accuracy, we give for the first time the transient correlation function for the photon number.

© 1976 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.14.383
DOI:
10.1103/PhysRevA.14.383
PACS:

*Also at Istituto Nazionale d'Ottica, Firenze, Italy.