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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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.
|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|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Lindsay Cleary|
|Deposited On:||10 Jul 2006|
|Last Modified:||26 Dec 2012 08:56|
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