General Adiabatic Elimination Procedure For Lasers With Slow Relaxation Of Population Inversion

Gian-Luca Oppo; Antonio Politi

doi:10.1117/12.938876

14 October 1986 General Adiabatic Elimination Procedure For Lasers With Slow Relaxation Of Population Inversion

Gian-Luca Oppo, Antonio Politi

Proceedings Volume 0667, Optical Chaos; (1986) https://doi.org/10.1117/12.938876
Event: 1986 Quebec Symposium, 1986, Quebec City, Canada

Abstract

An improved adiabatic elimination procedure, based on center manifold theory, is used to determine a two-dimensional flow which describes a large class of lasers characterized by slow relaxation of the population inversion. A detailed analysis of this model shows a) a quasi-conservative motion in a Toda potential, b) Haken second threshold for the expected parameter values, c) undamped oscillations in agreement with the Lorenz equations and d) a more accurate description of the relaxation processes than the usual rate equations. The relevance of the model to experiments is also briefly discussed.

Citation Download Citation

Gian-Luca Oppo and Antonio Politi "General Adiabatic Elimination Procedure For Lasers With Slow Relaxation Of Population Inversion", Proc. SPIE 0667, Optical Chaos, (14 October 1986); https://doi.org/10.1117/12.938876

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