Evolution of the statistical properties of photons passed through a traveling-wave laser amplifier

Author

Diament, Paul ; Teich, Malvin C.

Author_Institution

Dept. of Electr. Eng., Columbia Univ., New York, NY, USA

Volume

28

Issue

5

fYear

1992

fDate

5/1/1992 12:00:00 AM

Firstpage

1325

Lastpage

1334

Abstract

The authors determine the evolution of the photon statistics of a light beam as it passes through a traveling-wave laser amplifier, modeled as a birth-death immigration (BDI) medium. The relationship between the input and output probability distributions and probability generating functions with given (but possibly varying) birth, death, and immigration rates for arbitrary input statistics is obtained. The case of constant birth, death, and immigration rates is considered in particular detail. The photon statistics at the output of a general BDI traveling-wave amplifier are always broader than those at the input, and they can take many forms. The most general solution can be applied when the input distribution to the amplifier takes the form of a negative-binomial transform

Keywords

laser theory; quantum optics; arbitrary input statistics; birth-death-immigration medium; immigration rates; light beam; negative-binomial transform; output probability distributions; photon statistics; probability generating functions; statistical properties; traveling-wave laser amplifier; Biomedical optical imaging; Distributed amplifiers; Laser modes; Optical amplifiers; Optical scattering; Probability; Semiconductor lasers; Semiconductor optical amplifiers; Statistics; Stimulated emission;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.135273

Filename

135273