Mode statistics in random lasers
arXiv:cond-mat/0610691 · doi:10.1103/PhysRevA.74.063803
Abstract
Representing an ensemble of random lasers with an ensemble of random matrices, we compute average number of lasing modes and its fluctuations. The regimes of weak and strong coupling of the passive resonator to environment are considered. In the latter case, contrary to an earlier claim in the literature, we do not find a power-law dependence of the average mode number on the pump strength. For the relative fluctuations, however, a power law can be established. It is shown that, due to the mode competition, the distribution of the number of excited modes over an ensemble of lasers is not binomial.
6 pages
References in corpus (9)
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Random Matrices close to Hermitian or unitary: overview of methods and results
- Field quantization for open optical cavities
- Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering
- S-matrix poles for chaotic quantum systems as eigenvalues of complex symmetric random matrices: from isolated to overlapping resonances
- Field quantization for chaotic resonators with overlapping modes
- Lasing Threshold and Mode Competition in Chaotic Cavities
- Quantum theory of multimode fields: Applications to optical resonators
- Quantum statistics of overlapping modes in open resonators
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