Instabilities of optical solitons and Hamiltonian singular solutions in a medium of finite extension
Résumé
We analyze the role of soliton solutions and Hamiltonian singularities in the dynamics of counterpropagating waves in a medium of finite spatial extension. The soliton solution can become unstable due to the finite extension of the system. We show that the spatiotemporal dynamics then relaxes toward a Hamiltonian singular state of a nature different than that of the soliton state. This phenomenon can be explained through a geometrical analysis of the singularities of the stationary Hamiltonian system.
Domaines
Optique [physics.optics]Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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