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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2011

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.
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Dates et versions

hal-00699913 , version 1 (22-05-2012)

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E. Assemat, Antonio Picozzi, Hans-Rudolf Jauslin, Dominique Sugny. Instabilities of optical solitons and Hamiltonian singular solutions in a medium of finite extension. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2011, 84, pp.013809. ⟨10.1103/PhysRevA.84.013809⟩. ⟨hal-00699913⟩
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