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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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.
|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|
|Depositing User:||JM Christian|
|Date Deposited:||15 Apr 2010 16:02|
|Last Modified:||20 Aug 2013 17:16|
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