Escape angles in bulk chi(2) soliton interactions

Details Escape angles in bulk chi(2) soliton interactions Escape angles in bulk chi(2) soliton interactions

2000-10-16

arxiv.org/abs/nlin/0010030v2

Nonlinear Sciences

Pattern Formation and Solitons

V1: 4 pages, 4 figures. V2: Accepted for publication in Physical Review E. 5 pages, 4 figures. Fig. 2 changed to be for fixed

Scientific paper

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.

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