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Published December 1, 2001 | public
Journal Article Open

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

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.

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August 21, 2023
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