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arXiv · 1308.3943

Hamiltonian and Phase-Space Representation of Spatial Solitons

Hanhong Gao·Lei Tian·George Barbastathis
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Abstract

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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Hanhong Gao, Lei Tian, George Barbastathis. 2013-08-19. Hamiltonian and Phase-Space Representation of Spatial Solitons. https://doi.org/10.1016/j.optcom.2013.12.034

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