Hamiltonian and phase-space representation of spatial solitons
Files
First author draft
Date
2014-05-01
Authors
Gao, Hanhong
Tian, Lei
Barbastathis, George
Version
OA Version
Citation
Hanhong Gao, Lei Tian, George Barbastathis. 2014. "Hamiltonian and phase-space representation of spatial solitons." OPTICS COMMUNICATIONS, Volume 318, pp. 199 - 204 (6).
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.