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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