Dye-laser equation with saturation and its best Fokker-Planck equation

Journal Article · Sat Apr 15 04:00:00 EDT 1989 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.39.4026· OSTI ID:6475635

Peacock-Lopez, E; West, B J; Lindenberg, K

We carry out numerical simulations of the evolution and steady-state properties of a dye laser operating near resonance. The model we use is fully two dimensional (i.e., it includes the intensity and the phase of the radiation) and does not involve the usual low-intensity expansions commonly used in the literature. The equation for the complex electric field is driven by white additive noise (quantum fluctuations due to spontaneous emission) and by colored multiplicative noise (fluctuations of the gain parameter). We note that the simulations agree with the experimental results of Zhu, Yu, and Roy (Phys. Rev. A 34, 4333 (1986)) for parameter values used in their experiments. We compare the simulation results with predictions of the ''best Fokker-Planck equation'' (BFPE) for the steady-state distribution of the laser intensity and find remarkable quantitative agreement for large ranges of parameters values, even for values that are in principle beyond the range of validity of this equation. We conclude that the BFPE can be safely invoked to make predictions for this system.

• Research Organization: Department of Chemistry, B-040, and Institute for Nonlinear Science, R-002, University of California San Diego, La Jolla, California 92093
• OSTI ID: 6475635
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 39:8; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
DIFFERENTIAL EQUATIONS
DYE LASERS
ELECTRODYNAMICS
EQUATIONS
EQUATIONS OF STATE
FIELD THEORIES
FLUX DENSITY
FOKKER-PLANCK EQUATION
LASERS
LIQUID LASERS
MATHEMATICS
NOISE
NUMERICAL ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
STEADY-STATE CONDITIONS