A universal nonparaxial refraction law for spatial solitons

Christian, JM, Mcdonald, GS ORCID: https://orcid.org/0000-0002-1304-5182, Bostock, C, McCoy, EA, Sanchez-Curto, J and Chamorro-Posada, P 2011, A universal nonparaxial refraction law for spatial solitons , in: Waves 2011 - 10th International Conference on Mathematical and Numerical Aspects of Waves, 25-29 July 2011, Vancouver, Canada.

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The interaction of self-localizing and self-stabilizing wavepackets with interfaces is a fundamental nonlinear wave phenomenon. Indeed, interfaces play a crucial role as boundary conditions in a wide class of problem, ranging from guided-wave optics in photonic architectures to water waves interacting with coastal structures. We consider scattering of spatial optical solitons at the planar boundary between dissimilar nonlinear materials. Our approach allows arbitrary angles of beam incidence, reflection and refraction (relative to the interface); conventional theories demand these angles (in the laboratory frame) be near-negligibly small. A range of analytical and semi-analytical methods is deployed in both domains, and respecting solution continuity at the boundary allows the derivation of a universal Snell’s law governing beam refraction. Numerical analysis, in combination with fast computational techniques, tests the validity of theoretical predictions. Given the universality of soliton phenomena, we expect the methods developed here to be applicable in other nonlinear-wave based systems.

Item Type: Conference or Workshop Item (Paper)
Themes: Energy
Media, Digital Technology and the Creative Economy
Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Conference Proceedings
Publisher: Pacific Institute for the Mathematical Sciences (PIMS)
Refereed: Yes
Depositing User: GS McDonald
Date Deposited: 12 Oct 2011 11:22
Last Modified: 15 Feb 2022 18:02
URI: https://usir.salford.ac.uk/id/eprint/18245

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