Lasing threshold and mode competition in chaotic cavities

1997/06/30 by T. Sh. Misirpashaev, C. W. J. Beenakker · 4 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Random lasers and scattering media #chao-dyn #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physreva.57.2041

published as Phys. Rev. A 57, 2041, (1998) · 6 pages, RevTeX, 3 figures. Discussion of effects of non-zero resistivity in the boundaries is added

arxiv created 1997/08/22 · openalex publication_date 1998/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

The lasing threshold of a multimode chaotic cavity (linear size D \ensuremath≫ wavelength \ensuremathλ) coupled to the outside through a small hole (linear size d\ensuremath≪\ensuremathλ) is studied. 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〉\ensuremath≫1 of noncompeting 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.

Citations

• Probability of Reflection by a Random Laser
• Random-matrix physics: spectrum and strength fluctuations

Cited by

• Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles
• Model for chaotic dielectric microresonators
• Influence of spatial correlations on the lasing threshold of random lasers
• Highest-quality modes in disordered photonic crystals