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Springer eBooks

Dynamics of a two-photon laser

Daniel J. Gauthier, Olivier Pfister, William J. Brown, Michael D. Stenner

Published Jan 1, 2003• 0 citations
Publisher
DOI
10.1007/978-1-4419-8907-9_161

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The two-photon laser represents an entirely new class of quantum optical oscillator that promises to display a wealth of new and exciting nonlinear behavior. For example, the prediction that the turn-on behavior of the laser is indicative of a first-order phase transition was verified in recent studies of the first continuous-wave two-photon laser. In addition, it was found experimentally that the field generated by the laser displayed dynamical instabilities under some conditions. We briefly review the properties of two-photon lasers that are pertinent to its dynamical characteristics and show that many of the interesting properties can be understood from a simple rate-equation model. Also, we describe our efforts at Duke to address the origin of instabilities in two-photon lasers.
The dynamics of a two-photon laser with injected signal (TPLIS) in the limit of high quality cavity (class-A laser) is analysed by explicitly considering the underlying multi-level structure of the amplifying medium. A three-level cascade system is considered which retains the basic physics of the microscopic lasing processes. In this way the usual two-photon laser equations are consistently modified by the appearance of different dynamic frequency shifts dependent on the two-photon population inversion and on the laser intensity (ac-Stark shift). Although the basic instability scenarios are not qualitatively modified with respect to the effective two-level TPLIS, from the quantitative point of view, population-induced shifts heavily affect the threshold of appearance of instabilities.