Center-manifold reduction for laser equations with detuning

Year: 1989

Authors: Oppo G.L., Politi A.

Autors Affiliation: Department of Physics, Drexel University, Philadelphia, Pennsylvania 19104;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: An improved adiabatic elimination technique, previously applied to resonant-laser equations for a small population decay rate, is extended to the general detuned case. The initial five-dimensional system is approximated with a set of only two differential equations. This allows an analytical investigation of the bifurcation properties of the second laser threshold. The final two-dimensional model represents a substantial improvement in the correct description of many lasers, from CO2 to Nd:YAG (YAG denotes yttrium aluminum garnet), from semiconductor to NMR lasers.

Journal/Review: PHYSICAL REVIEW A

Volume: 40 (3)      Pages from: 1422  to: 1427

KeyWords: center-manifold theory
DOI: 10.1103/PhysRevA.40.1422

Citations: 23
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