Non-paraxial solitons

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

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