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Pattern formation in a passive Kerr cavity

Scroggie, AJ, Firth, WJ, Mcdonald, GS, Tlidi, M, Lefever, R and Lugiato, LA 1994, 'Pattern formation in a passive Kerr cavity' , Chaos, Solitons and Fractals, 4 (8-9) , pp. 1323-1354.

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    Abstract

    Analytical and numerical investigations of a cavity containing a Kerr medium are reported. The mean field equation with plane-wave excitation and diffraction is assumed. Stable hexagons are dominant close to threshold for a self-focusing medium. Bistable switching frustrates pattern formation for a self-defocusing medium. Under appropriate parametric conditions that we identify, there is a coexistence of a homogeneous stationary solution, of a hexagonal pattern solution and of a hexagonal state. Further above threshold, the hexagons show defects, and then break up with apparent turbulence. For Gaussian beam excitation, the different symmetry leads to polygon formation for narrow beams, but quasihexagonal structures appear for broader beams.

    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: Chaos, Solitons and Fractals
    Publisher: Elsevier
    Refereed: Yes
    ISSN: 0960-0779
    Related URLs:
    Depositing User: GS McDonald
    Date Deposited: 14 Oct 2011 12:04
    Last Modified: 20 Aug 2013 18:14
    URI: http://usir.salford.ac.uk/id/eprint/18348

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