A scaling-limit approach to the theory of laser transition

Paul Gartner

doi:10.1117/12.921772

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arXiv · 1203.2324

A scaling-limit approach to the theory of laser transition

Paul Gartner

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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, $\kappa \to 0$, $g \to 0$, such that $g^2/\kappa$ 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.

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Paul Gartner. 2012-03-11. A scaling-limit approach to the theory of laser transition. https://doi.org/10.1117/12.921772

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