Simulation approach to Fokker-Planck modeling of lasers and optical amplifiers

G. M. D'Ariano; C. Macchiavello

doi:10.1117/12.175145

3 May 1994 Simulation approach to Fokker-Planck modeling of lasers and optical amplifiers

G. M. D'Ariano, C. Macchiavello

Proceedings Volume 2098, Computer Simulation in Nonlinear Optics; (1994) https://doi.org/10.1117/12.175145
Event: Volga Laser Tour '93, 1993, Moscow, Russian Federation

Abstract

A novel numerical method to solve Fokker-Planck equations in quantum optics is presented, based on a Monte Carlo simulation of the probability diffusion process. The method is especially useful for multimode analysis and hence for studying realistic models of nonlinear optical systems. Two simple examples are given: the first is a 1D Fokker-Planck equation in the number representation, which describes a simple model of optical amplifier; the second is a 2D equation in the P-function representation-the quasi-probability for normal-ordered averages-which corresponds to the customary Van der Pol model of the laser threshold. In this case also the field correlation function and spectrum are numerically simulated.

Citation Download Citation

G. M. D'Ariano and C. Macchiavello "Simulation approach to Fokker-Planck modeling of lasers and optical amplifiers", Proc. SPIE 2098, Computer Simulation in Nonlinear Optics, (3 May 1994); https://doi.org/10.1117/12.175145

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