Non-paraxial beam propagation methods

Chamorro-Posada, P, Mcdonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 and New, GHC 2001, 'Non-paraxial beam propagation methods' , Optics Communications, 192 (1-2) , pp. 1-12.

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Abstract

Exact analytical results are employed in the testing of split-step and finite difference approaches to the numerical solution of the non-paraxial non-linear Schrodinger equation. It is shown that conventional split-step schemes can lead to spurious oscillations in the solution and that fully finite difference descriptions may require prohibitive discretisation densities. Two new non-paraxial beam propagation methods, that overcome these difficulties, are reported. A modified split-step method and a difference-differential equation method are described and their predictions are validated using dispersion relations, an energy flow conservation relation and exact solutions. To conclude, results concerning 2D (transverse) beam self-focusing, for which no tract analytical solutions exist, are presented.

Item Type:	Article
Themes:	Energy Media, Digital Technology and the Creative Economy Subjects outside of the University Themes
Schools:	Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title:	Optics Communications
Publisher:	Elsevier
Refereed:	Yes
ISSN:	0030-4018
Depositing User:	GS McDonald
Date Deposited:	14 Oct 2011 09:56
Last Modified:	15 Feb 2022 16:06
URI:	https://usir.salford.ac.uk/id/eprint/18333

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