Bistable dark solitons of a cubic-quintic Helmholtz equation

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.053831· OSTI ID:21408913

Christian, J M; McDonald, G S; Chamorro-Posada, P ^[1]

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1. Joule Physics Laboratory, School of Computing, Science and Engineering, Materials and Physics Research Centre, University of Salford, Salford M5 4WT (United Kingdom)

We provide a report on 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 nondegenerate 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.

• OSTI ID: 21408913
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
ATTRACTORS
COMPUTERIZED SIMULATION
EQUATIONS
FORECASTING
GEOMETRY
INSTABILITY
INVARIANCE PRINCIPLES
MAPPING
MATHEMATICAL SOLUTIONS
MATHEMATICS
NONLINEAR PROBLEMS
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
QUASI PARTICLES
REFRACTIVE INDEX
ROTATIONAL INVARIANCE
SIMULATION
SOLITONS
WAVE PROPAGATION