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Dissipation-induced instabilities in an optical cavity laser: A mechanical analog near the 1:1 resonance

Clerc, Marcel G. and Marsden, Jerrold E. (2001) Dissipation-induced instabilities in an optical cavity laser: A mechanical analog near the 1:1 resonance. Physical Review E, 64 (6). Art. No. 067603. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:CLEpre01

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Abstract

The 1:1 resonance for perturbed Hamiltonian systems with small dissipative and energy injection terms has been studied. These perturbations of the 1:1 resonance exhibit dissipation induced instabilities. This mechanism allows one to show that an optical cavity with small pumping is unstable when one takes into account the dissipative effects. The Maxwell-Bloch equations are the asymptotic normal form that describe this instability when energy is injected through forcing at zero frequency. A simple mechanical system close to the 1:1 resonance has been displayed, which is a mechanical analog of the laser.


Item Type:Article
Additional Information:©2001 The American Physical Society. Received 25 March 2001; published 26 November 2001. J.E.M. was partially supported by the National Science Foundation. M.G.C. is grateful for support from the Programa de insercion de Cientı´ficos of Fundacion Andes.
Subject Keywords:AMPLITUDE BAROCLINIC WAVES; SYSTEMS
Record Number:CaltechAUTHORS:CLEpre01
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CLEpre01
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.64.067603
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3749
Collection:CaltechAUTHORS
Deposited By: Lindsay Cleary
Deposited On:10 Jul 2006
Last Modified:26 Dec 2012 08:56

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