Skip to the content

Helmholtz solitons in optical materials with a dual power-law refractive index

Christian, JM, McDonald, GS and Chamorro-Posada, P 2010, 'Helmholtz solitons in optical materials with a dual power-law refractive index' , Journal of Nonlinear Optical Physics & Materials, 19 (3) , pp. 389-405.

[img]
Preview
PDF - Accepted Version
Download (421kB) | Preview

    Abstract

    A nonlinear Helmholtz equation is proposed for modelling scalar optical beams in uniform planar waveguides whose refractive index exhibits a purely-focusing dual powerlaw dependence on the electric field amplitude. Two families of exact analytical solitons, describing forward- and backward-propagating beams, are derived. These solutions are physically and mathematically distinct from those recently discovered for related nonlinearities. The geometry of the new solitons is examined, conservation laws are reported, and classic paraxial predictions are recovered in a simultaneous multiple limit. Conventional semi-analytical techniques assist in studying the stability of these nonparaxial solitons, whose propagation properties are investigated through extensive simulations.

    Item Type: Article
    Themes: Energy
    Media, Digital Technology and the Creative Economy
    Subjects outside of the University Themes
    Schools: Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre
    Journal or Publication Title: Journal of Nonlinear Optical Physics & Materials
    Publisher: World Scientific Publishing Company
    Refereed: Yes
    ISSN: 0218-8635
    Depositing User: GS McDonald
    Date Deposited: 13 Oct 2011 09:31
    Last Modified: 20 Aug 2013 18:13
    URI: http://usir.salford.ac.uk/id/eprint/18273

    Actions (login required)

    Edit record (repository staff only)

    Downloads per month over past year

    View more statistics