Propagation properties of non-paraxial spatial solitons

We present an analysis and simulation of the non-paraxial nonlinear Schrödinger equation. Exact general relations describing energy flow conservation and transformation invariance are reported, and then explained on physical grounds. New instabilities of fundamental and higher-order paraxial soliton...

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Bibliographic Details
Published in:Journal of modern optics 2000-09, Vol.47 (11), p.1877-1886
Main Authors: Chamorro-Posada, P., McDonald, G. S., New, G. H. C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Nonlinear optics
Optical solitons
nonlinear guided waves
Optics
Physics
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Summary:We present an analysis and simulation of the non-paraxial nonlinear Schrödinger equation. Exact general relations describing energy flow conservation and transformation invariance are reported, and then explained on physical grounds. New instabilities of fundamental and higher-order paraxial solitons are discovered in regimes where exact analytical non-paraxial solitons are found to be robust attractors. Inverse-scattering theory and the known form of solutions are shown to enable the prediction of the characteristics of non-paraxial soliton formation. Finally, analysis of higher-order soliton break up due to non-paraxial effects reveals features that appear to be of a rather general nature.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340008232440