Correlations in an N-mode laser

Journal Article · Thu Jun 01 04:00:00 EDT 1978 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523818· OSTI ID:7277497

Hioe, F T

Analytic expressions for the correlations of the light emitted by an N-mode laser are given. We study in particular a special case of strongest couplings and show, for example, that at steady state, the second order cross intensity correlation tends toward a negative value, -1/(N-1), for large pump parameters. We also study the time dependent solutions, and express the second order amplitude and intensity correlations of the emitted light in terms of the eigenvalues and eigenfunctions of a Schroedinger-type differential equation which reduces to that studied by Risken for N=1 and to that studied by M-Tehrani and Mandel for N=2. Analytic expressions which approximate the eigenvalues of this differential equation for a general N are given.

• Research Organization: Institute for Fundamental Studies, Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 7277497
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
ELECTROMAGNETIC RADIATION
EQUATIONS
EQUATIONS OF MOTION
FOKKER-PLANCK EQUATION
FUNCTIONS
LASER RADIATION
RADIATIONS
SCHROEDINGER EQUATION
TIME DEPENDENCE
WAVE EQUATIONS