The positive P representation and the laser equations

Publisher Website
Google Scholar
Abstract
The drift in the Fokker-Planck equation in the positive P representation describing a gas laser is shown to have a continuum of stable steady states. Only a small subset is physically acceptable. It is demonstrated that the diffusion does manage to average over the unphysical steady states to give correct correlation properties in the lasing region. However, in the chaotic region, the positive P representation equations have additional instabilities. As a consequence the positive P representation in the chaotic region leads to behaviour either different from known solutions or breaks down.

This publication has 8 references indexed in Scilit: