Bistability of multi-photon lasers
Abstract
A quantum-mechanical approach to bistable, multiphoton lasers is presented. The Hamiltonian for the dynamics of a system of two-level atoms is defined, along with the field creation and annihilation operators, the spin operators, and the coupling constants. Mean values are obtained for intensive slow-varying operators, and a generalized set of Maxwell-Bloch equations is derived. Stationary solutions are developed with constant amplitudes and phases of the field and collective dipole and constant population in terms of algebraic equations. A stability analysis is performed for the solutions for multiphoton lamp and laser regimes. A subharmonic theory results with a stationary solution which can be expressed by means of a single parameter, and conditions of bistability are resolved.
- Publication:
-
Lasers 1980; Proceedings of the International Conference
- Pub Date:
- 1981
- Bibcode:
- 1981lase.conf..808S
- Keywords:
-
- Hamiltonian Functions;
- Laser Stability;
- Lasing;
- Photon Beams;
- Quantum Mechanics;
- Laser Outputs;
- Maxwell Equation;
- Operators (Mathematics);
- Population Inversion;
- Subharmonic Generators;
- Lasers and Masers