Exact linear stability analysis of the plane-wave Maxwell-Bloch equations for a ring laser
- 1 October 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (4) , 3101-3108
- https://doi.org/10.1103/physreva.34.3101
Abstract
We perform an exact linear stability analysis of the Maxwell-Bloch equations for a unidirectional ring laser. The model analyzed in this paper is based on the plane-wave assumption for the cavity field, but it allows arbitrary values of all the other parameters for the cavity and for the active medium. This problem had been solved previously only under exact resonance conditions, or in the uniform-field (mean-field) limit, or after adiabatic elimination of the atomic polarization.Keywords
This publication has 13 references indexed in Scilit:
- Mode-mode competition and unstable behavior in a homogeneously broadened ring laserPhysical Review A, 1986
- Experimental evidence of mode competition leading to optical bistability in homogeneously broadened lasersOptics Communications, 1986
- Instabilities of a Homogeneously Broadened LaserPhysical Review Letters, 1985
- Multimode laser with an injected signal: Steady-state and linear stability analysisPhysical Review A, 1985
- Multimode instabilities in a homogeneously broadened ring laserPhysical Review A, 1985
- Intrinsic Dynamical Instability in Optical Bistability with Two-Level AtomsPhysical Review Letters, 1984
- Observation of Higher Order Dynamical States of a Homogeneously Broadened LaserPhysical Review Letters, 1984
- Many-mode stability analysis in the mean-field limit for absorptive bistabilityPhysical Review A, 1983
- Oscillatory instabilities leading to "optical turbulence" in a bistable ring cavityPhysical Review A, 1982
- Multiple-valued stationary state and its instability of the transmitted light by a ring cavity systemOptics Communications, 1979