Stochastic Toda-oscillator model of the bad-cavity laser

Journal Article · Mon Oct 01 04:00:00 EDT 1990 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.42.4210· OSTI ID:6283209

Ogawa, T ^[1]

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1. Department of Applied Physics, Faculty of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo (Japan)

The statistical noise properties of the laser radiation in a low-{ital Q} (bad) cavity are theoretically investigated. The bad-cavity laser system is shown to be exactly equivalent to the {ital stochastic} {ital Toda} {ital oscillator} (STO) in the case of negligible polarization noise. Transforming the STO Langevin equation to the Fokker-Planck equation with a position-dependent diffusion coefficient, analytical expressions of the probability distribution are obtained as particular solutions in a stationary state with the aid of the expansion into a complete orthogonal set. We predict novel statistical features of the laser light, e.g., a power tail of the intensity distribution function, non-Gaussian nature of the field fluctuation, and super-Poissonian photoelectron statistics. General solutions are also given in a closed form in terms of the matrix continued fraction to compare with the particular solutions. The good-cavity case is reanalyzed in our formalism to root out differences between them.

• OSTI ID: 6283209
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 42:7; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
426002* -- Engineering-- Lasers & Masers-- (1990-)
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FLUCTUATIONS
FOKKER-PLANCK EQUATION
LASER CAVITIES
NOISE
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
POLARIZATION
SIMULATION
VARIATIONS