Helmholtz surface wave propagation along nonlinear interfaces

McCoy, EA, Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569 and McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 2013, Helmholtz surface wave propagation along nonlinear interfaces , in: Salford Postgraduate Annual Research Conference (SPARC 2013), 5th - 6th June 2013, University of Salford.

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When two dissimilar nonlinear photonic materials are placed together, the boundary between them forms an optical interface. A light beam (typically from a laser source) may then travel along the boundary as a surface wave, remaining trapped within the vicinity of the interface and possessing a stationary (invariant) spatial profile. This type of bi-layer structure is an elementary geometry for integrated-optic device architectures. For two Kerr-type materials, surface-wave solutions to the governing equation have been known for many years [e.g., Aceves et al., Phys. Rev. A vol. 39, 1809 (1989)]. To date, many research groups worldwide have performed numerical investigations of related phenomena. A recurrent theme in the literature is the replacement of the underlying Helmholtz equation with a simpler Schrödinger-type model (by assuming slowly-varying envelopes). Hence, there has been essentially no analysis of surface waves in the Helmholtz context. In this presentation, we will give a detailed account of Helmholtz surface waves propagating along nonlinear interfaces – this is the first analysis of its kind [Christian et al., J. Atom. Mol. Opt. Phys. vol. 2012, art. no. 137967 (2012)]. Theoretical predictions of surface-wave stability (made by deploying the classic Vakhitov-Kolokolov integral criterion) are tested against fully-numerical Helmholtz-type computations using our (custom) difference-differential algorithm [Chamorro-Posada, McDonald, & New, Opt. Commun. vol. 192, 1 (2001)]. Extensive simulations have uncovered a wide range of new qualitative and quantitative phenomena in the Helmholtz regime that depend on the interplay between a set of system parameters (material mismatches, nonlinearity exponent, and the optical beam waist).

Item Type: Conference or Workshop Item (Poster)
Themes: Energy
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
Refereed: Yes
Funders: University of Salford
Depositing User: JM Christian
Date Deposited: 11 Jun 2013 14:18
Last Modified: 15 Feb 2022 18:21
URI: https://usir.salford.ac.uk/id/eprint/29316

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