Helmholtz non-paraxial beam propagation method: An assessment

Chamorro-Posada, P; McDonald, GS

Abstract

We present a performance evaluation of a non-paraxial beam propagation method suitable for the study of Helmholtz solitons. The analysis aims to determine the accuracy limits of the numerical scheme in terms of the maximum propagation angle addressable. Our investigation is based on the spectral representation of the exact soliton solutions and the study of their evolution at extreme propagation angles, together with the analysis of the propagation invariants. Based on these results, a simple heuristic criterion for the boundaries of the validity domain of the algorithm is provided.

Citation

Chamorro-Posada, P., & McDonald, G. (2014). Helmholtz non-paraxial beam propagation method: An assessment. Journal of Nonlinear Optical Physics and Materials, 23(4), https://doi.org/10.1142/S0218863514500404

• Journal Article Type: Article
• Publication Date: Dec 1, 2014
• Deposit Date: Jan 29, 2015
• Journal: Journal of Nonlinear Optical Physics & Materials
• Print ISSN: 0218-8635
• Electronic ISSN: 1793-6624
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 23
• Issue: 4
• DOI: https://doi.org/10.1142/S0218863514500404
• Publisher URL: http://dx.doi.org/10.1142/S0218863514500404
• Related Public URLs: http://www.worldscientific.com/worldscinet/jnopm
• Additional Information: Funders : Spanish MICINN, Junta de Castilla y Leon,; Grant Number: TEC2012- 21303-C04-04; Grant Number: VA300A12-1