paper

A scaling-limit approach to the theory of laser transition

arXiv:1203.2324 · doi:10.1117/12.921772

Abstract

The conditions for the appearance of a sharp laser transition are formulated in terms of a scaling limit, involving vanishing cavity loss and light-matter coupling, , , such that stays finite. It is shown analytically that in this asymptotic parameter domain, and for pump rates above the threshold value, the photon output becomes large in a sense that is specified, and the photon statistics becomes strictly Poissonian. Numerical examples for the case of a two-level and a three-level emitter are presented and discussed in relation to the analytic result.

Intended as contribution to "Photonics Europe 2012" Brussels, Belgium

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