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Total non-refraction angle at Kerr defocusing interfaces

Sánchez-Curto, J, Chamorro-Posada, P and Mcdonald, GS 2011, Total non-refraction angle at Kerr defocusing interfaces , in: QUONLOP 2011, Meeting of the Quantum Optics and Nonlinear Optics Committee of SEDOPTICA, 10-11 February 2011, University of Valladolid, Spain.

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    Abstract

    Spatial soliton refraction at interfaces separating two nonlinear media has traditionally been studied in terms of the paraxial Nonlinear Schrödinger (NLS) Equation, thus restricting the validity of results to vanishingly small angles of incidence. This limitation is overcome within a Helmholtz nonparaxial framework, where a Nonlinear Helmholtz (NLH) equation addresses the full evolution of a broad beam (when compared to the wavelength) propagating at arbitrary angles in relation to the longitudinal axis. This inherent nonparaxial character of solitons evolving at planar interfaces is captured in an united, and generalized, Snell's law that addresses the evolution of both bright and dark solitons impinging either focusing or defocusing Kerr interfaces, respectively. As regards gray solitons, the Snell's law also predicts the existence of a total non-refraction angle which establishes that total non-refraction (if possible) can only be achieved for a unique angle of incidence. Unlike bright and black solitons, gray solitons can undergo internal refraction, external refraction or total transparency at the same nonlinear interface depending solely on the angle of incidence. This novel property has been proposed to lie in the core of either positive or negative lensing operations to be performed on dark soliton arrays.

    Item Type: Conference or Workshop Item (Paper)
    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: Procedings of QUONLOP 2011
    Publisher: Spanish Optical Society
    Refereed: Yes
    Depositing User: GS McDonald
    Date Deposited: 12 Oct 2011 12:41
    Last Modified: 20 Aug 2013 18:13
    URI: http://usir.salford.ac.uk/id/eprint/18255

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