Dark spatial soliton break-up in the transverse plane

Mcdonald, GS; Syed, KS; Firth, WJ

Abstract

We report on numerical simulations investigating the instabilities which arise when dark soliton solutions of the two-dimensional (2D) nonlinear Schrödinger equation are allowed to propagate in a 3D self-defocussing medium. Firstly, propagation of fully 3D gaussians beams is studied. Then, on plane background, small sinusoidal and random perturbations are considered. We demonstrate break-up of the dark soliton profile into patterns of dark spots which are identified as phase singularities.

Citation

Mcdonald, G., Syed, K., & Firth, W. (1993). Dark spatial soliton break-up in the transverse plane. Optics Communications, 95(4-6), 281-288. https://doi.org/10.1016/0030-4018%2893%2990679-Y

• Journal Article Type: Article
• Publication Date: Jan 15, 1993
• Deposit Date: Oct 14, 2011
• Journal: Optics Communications
• Print ISSN: 0030-4018
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 95
• Issue: 4-6
• Pages: 281-288
• DOI: https://doi.org/10.1016/0030-4018%2893%2990679-Y
• Publisher URL: http://dx.doi.org/ 10.1016/0030-4018(93)90679-Y
• Related Public URLs: http://www.sciencedirect.com/science/article/pii/003040189390679Y