Bistable dark solitons of a cubic-quintic Helmholtz equation

Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569, McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 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:	Schools > School of Computing, Science and Engineering Schools > School of Computing, Science and Engineering > Salford Innovation 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:	15 Feb 2022 15:38
URI:	https://usir.salford.ac.uk/id/eprint/8817

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