Escape angles in bulk chi(2) soliton interactions
Abstract
We develop a theory for non-planar interaction between two identical type I spatial solitons propagating at opposite, but arbitrary transverse angles in quadratic nonlinear (or so-called chi(2)) bulk media. We predict quantitatively the outwards escape angle, below which the solitons turn around and collide, and above which they continue to move away from each other. For in-plane interaction the theory allows prediction of the outcome of a collision through the inwards escape angle, i.e. whether the solitons fuse or cross. We find an analytical expression determining the inwards escape angle using Gaussian approximations for the solitons. The theory is verified numerically.
Cite
@article{arxiv.nlin/0010030,
title = {Escape angles in bulk chi(2) soliton interactions},
author = {Steffen Kjaer Johansen and Ole Bang and Mads Peter Soerensen},
journal= {arXiv preprint arXiv:nlin/0010030},
year = {2007}
}
Comments
V1: 4 pages, 4 figures. V2: Accepted for publication in Physical Review E. 5 pages, 4 figures. Fig. 2 changed to be for fixed soliton width and to show soliton power. New simple relations in terms of power and pahse mismatch are included