Hamiltonian and phase-space representation of spatial solitons
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Citation (published version)Hanhong Gao, Lei Tian, George Barbastathis. 2014. "Hamiltonian and phase-space representation of spatial solitons." OPTICS COMMUNICATIONS, Volume 318, pp. 199 - 204 (6).
We use Hamiltonian ray tracing and phase–space representation to describe the propagation of a single spatial soliton and soliton collisions in a Kerr nonlinear medium. Hamiltonian ray tracing is applied using the iterative nonlinear beam propagation method, which allows taking both wave effects and Kerr nonlinearity into consideration. Energy evolution within a single spatial soliton and the exchange of energy when two solitons collide are interpreted intuitively by ray trajectories and geometrical shearing of the Wigner distribution functions.
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