Non-paraxial solitons

In this paper, we propose the use of ultranarrow soliton beams in miniaturized nonlinear optical devices. We derive a nonparaxial nonlinear Schrödinger equation and show that it has an exact non-paraxial soliton solution from which the paraxial soliton is recovered in the appropriate limit. The phys...

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Bibliographic Details
Published in:Journal of modern optics 1998-06, Vol.45 (6), p.1111-1121
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:In this paper, we propose the use of ultranarrow soliton beams in miniaturized nonlinear optical devices. We derive a nonparaxial nonlinear Schrödinger equation and show that it has an exact non-paraxial soliton solution from which the paraxial soliton is recovered in the appropriate limit. The physical and mathematical geometry of the non-paraxial soliton is explored through the consideration of dispersion relations, rotational transformations and approximate solutions. We highlight some of the unphysical aspects of the paraxial limit and report modifications to the soliton width, the soliton area and the soliton (phase) period which result from the breakdown of the slowly varying envelope approximation.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500349808230902