Chamorro-Posada, P, Mcdonald, GS and New, GHC 1998, 'Non-paraxial solitons' , Journal of Modern Optics, 45 (6) , pp. 1111-1121.
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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.
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|Schools:||Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre|
|Journal or Publication Title:||Journal of Modern Optics|
|Publisher:||Taylor & Francis|
|Depositing User:||GS McDonald|
|Date Deposited:||14 Oct 2011 11:51|
|Last Modified:||14 Oct 2011 11:51|
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