Lasing Threshold and Mode Competition in Chaotic Cavities
arXiv:chao-dyn/9706027 · doi:10.1103/PhysRevA.57.2041
Abstract
The lasing threshold is studied of a multi-mode chaotic cavity (linear size D >> wavelength λ) coupled to the outside through a small hole (linear size d << λ). For sufficiently weak absorption by the boundaries, the statistical distribution of the threshold is wide, its mean value being much less than the pumping rate needed to compensate the average loss. The average number N_{nc} >> 1 of non-competing excited modes is proportional to the square root of the pumping rate. We use the classical model of spatial hole burning to account for mode competition and find a reduction in the average number of excited modes to N =3^{1/3} N_{nc}^{2/3}.
6 pages, RevTeX, 3 figures. Discussion of effects of non-zero resistivity in the boundaries is added
References in corpus (4)
Cited by in corpus (29)
- Self-consistent multi-mode lasing theory for complex or random lasing media
- Random Resonators and Prelocalized Modes in Disordered Dielectric Films
- Steady-state Ab Initio Laser Theory: Generalizations and Analytic Results
- Mode Repulsion and Mode Coupling in Random Lasers
- Quantum limit of the laser linewidth in chaotic cavities and statistics of residues of scattering matrix poles
- Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory
- Recent developments in the theory of multimode random lasers
- Non-Markovian Decay and Lasing Condition in an Optical Microcavity Coupled to a Structured Reservoir
- Large Petermann factor in chaotic cavities with many scattering channels
- Effect of local pumping on random laser modes
- Theory for the photon statistics of random lasers
- Quantum-limited linewidth of a chaotic laser cavity
- Decay Rate Distributions of Disordered Slabs and Application to Random Lasers
- A study of random laser modes in disordered photonic crystals
- Lifetime statistics in chaotic dielectric microresonators
- A model for chaotic dielectric microresonators
- Disorder-induced cavities, resonances, and lasing in randomly-layered media
- Universal Fluctuations of the Random Lasing Threshold in a Sample of a Finite Area
- Statistical properties of one-dimensional random lasers
- Mode statistics in random lasers
- Influence of Spatial Correlations on the Lasing Threshold of Random Lasers
- Signatures of Classical Diffusion in Quantum Fluctuations of 2D Chaotic Systems
- Diagrammatic semiclassical laser theory
- Spacing statistics in two-mode random lasing
- Ray chaos in optical cavities based upon standard laser mirrors
- Opto-mechanical probes of resonances in amplifying microresonators
- Fluctuations of radiation from a chaotic laser below threshold
- Gas lasers with wave-chaotic resonators
- An Ultrasonic analog for a laser