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Helmholtz dark solitons: oblique propagation, saturable materials & bistability

Lundie, MJ, McDonald, GS and Christian, JM 2012, Helmholtz dark solitons: oblique propagation, saturable materials & bistability , in: College of Science and Technology Research Showcase Day, 20th June 2012, University of Salford, Greater Manchester, UK.

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    Abstract

    Dark spatial optical solitons comprise a uniform background wave that is modulated by an obliquely-propagating 'dip' in the light intensity profile. Appearing throughout nonlinear science, these universal entities possess a phase topology that endows them with a remarkable degree of stability against perturbations to their shape. Hence, the photonics community is greatly interested in dark solitons for potential use as 'information bits' in future optical technologies. Our Group has been developing Helmholtz soliton theory for the past 14 years. This more sophisticated modelling approach completely eliminates the intrinsic angular limitations of classic paraxial models, where waves must travel along (or at near-negligibly-small angles with respect to) the laboratory longitudinal direction. The most recent system we have analyzed captures the generic effects of a saturable defocusing nonlinearity, where the locally-induced refractive-index change becomes bleached under high-intensity illumination. Families of exact bistable dark solitons have been derived by deploying a unique blend of mathematical methods, and linearization techniques have predicted the inherent stability of the background plane wave against small-amplitude modulations. Our new solutions have a raft of crucial asymptotic properties, complementing their bright [1] and paraxial [2] counterparts.

    Item Type: Conference or Workshop Item (Poster)
    Themes: 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
    Publisher: University of Salford
    Refereed: Yes
    Depositing User: JM Christian
    Date Deposited: 17 Jul 2012 13:35
    Last Modified: 20 Aug 2013 18:29
    References: [1] J. M. Christian, G. S. McDonald, and P. Chamorro-Posada, J. Opt. Soc. Am. B 26, 2323 (2009). [2] W. Krolikowski and B. Luther-Davies, Opt. Lett. 18, 188 (1993).
    URI: http://usir.salford.ac.uk/id/eprint/23015

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