A scaling-limit approach to the theory of laser transition

Paul Gartner

doi:10.1117/12.921772

4 May 2012 A scaling-limit approach to the theory of laser transition

Paul Gartner

Proceedings Volume 8440, Quantum Optics II; 84400H (2012) https://doi.org/10.1117/12.921772
Event: SPIE Photonics Europe, 2012, Brussels, Belgium

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, k → 0, g → 0, such that g²/k 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.

Citation Download Citation

Paul Gartner "A scaling-limit approach to the theory of laser transition", Proc. SPIE 8440, Quantum Optics II, 84400H (4 May 2012); https://doi.org/10.1117/12.921772

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