Instabilities of optical solitons and Hamiltonian singular solutions in a medium of finite extension

E. Assemat (1) , Antonio Picozzi (1) , Hans-Rudolf Jauslin (1) , Dominique Sugny (1)

1 ICB - Laboratoire Interdisciplinaire Carnot de Bourgogne

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]

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⟩