Published December 1, 2001
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Journal Article
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Dissipation-induced instabilities in an optical cavity laser: A mechanical analog near the 1:1 resonance
- Creators
- Clerc, Marcel G.
- Marsden, Jerrold E.
Chicago
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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.
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.Files
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Additional details
- Eprint ID
- 3749
- Resolver ID
- CaltechAUTHORS:CLEpre01
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2006-07-10Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field