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Bistable dark solitons of a cubic-quintic Helmholtz equation

Christian, JM, McDonald, GS and Chamorro-Posada, P 2010, 'Bistable dark solitons of a cubic-quintic Helmholtz equation' , Physical Review A (PRA), 81 (5) .

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Abstract

We report, to the best of our knowledge, the first exact analytical bistable dark spatial solitons of a nonlinear Helmholtz equation with a cubic-quintic refractive-index model. Our analysis begins with an investigation of the modulational instability characteristics of Helmholtz plane waves. We then derive a dark soliton by mapping the desired asymptotic form onto a uniform background field, and obtain a more general solution by deploying rotational invariance laws in the laboratory frame. The geometry of the new soliton is explored in detail, and a range of new physical predictions is uncovered. Particular attention is paid to the unified phenomena of arbitrary-angle off-axis propagation and non-degenerate bistability. Crucially, the corresponding solution of paraxial theory emerges in a simultaneous multiple limit. We conclude with a set of computer simulations that examine the role of Helmholtz dark solitons as robust attractors.

Item Type: Article
Themes: Subjects / Themes > Q Science > QC Physics > QC350-467 Optics. Light
Subjects outside of the University Themes
Schools: Colleges and Schools > College of Science & Technology
Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering
Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre
Journal or Publication Title: Physical Review A (PRA)
Publisher: American Physical Society
Refereed: Yes
ISSN: 1050-2947
Depositing User: JM Christian
Date Deposited: 15 Apr 2010 15:02
Last Modified: 06 Jun 2014 06:55
URI: http://usir.salford.ac.uk/id/eprint/8817

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