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Non-paraxial solitons

Chamorro-Posada, P; Mcdonald, GS; New, GHC

Authors

P Chamorro-Posada

GHC New



Abstract

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.

Citation

Chamorro-Posada, P., Mcdonald, G., & New, G. (1998). Non-paraxial solitons. Journal of Modern Optics, 45(6), 1111-1121. https://doi.org/10.1080/09500349808230902

Journal Article Type Article
Publication Date Jan 1, 1998
Deposit Date Oct 14, 2011
Journal Journal of Modern Optics
Print ISSN 0950-0340
Publisher Taylor and Francis
Peer Reviewed Peer Reviewed
Volume 45
Issue 6
Pages 1111-1121
DOI https://doi.org/10.1080/09500349808230902
Publisher URL http://dx.doi.org/ 10.1080/09500349808230902
Related Public URLs http://www.tandfonline.com/doi/abs/10.1080/09500349808230902