Recent developments in the theory of multimode random lasers

Abstract

We review recent extensions of semiclassical multimode laser theory to open systems with overlapping resonances and inhomogeneous refractive index. An essential ingredient of the theory are biorthogonal quasimodes that describe field decay in an open passive system and are used as a basis for lasing modes. We discuss applications of the semiclassical theory, as well as other experimental and numerical results related to random lasing with mode competition.

23 pages; review article for the special issue "Nano and Random Lasers" in Journal of Optics A

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• Effects of Spatially Nonuniform Gain on Lasing Modes in Weakly Scattering Random Systems
• The Complex Spherical 2+4 Spin Glass: a Model for Nonlinear Optics in Random Media
• Euclidean matrix theory of random lasing in a cloud of cold atoms
• Ab initio few-mode theory for quantum potential scattering problems
• Nonlinear effects in random lasers
• Glassiness and Lack of Equipartition in Random Lasers: the common roots of Ergodicity Breaking in Disordered and Non-linear Systems
• Amplified and directional spontaneous emission from arbitrary composite bodies: self-consistent treatment of Purcell effect below threshold
• A Random Laser as a Dynamical Network
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• Multi-body quenched disordered $XY$ and $p$-clock models on random graphs
• Ab initio description of nonlinear dynamics of coupled microdisk resonators with application to self-trapping dynamics
• Nonlinear sigma model for optical media with linear absorption or gain
• Gas lasers with wave-chaotic resonators