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Complexity & fractality in simple optical systems

Mcdonald, GS, Christian, JM, Heyes, AS, Millington, NGI, Walsh, TM and Huang, JG 2011, Complexity & fractality in simple optical systems , in: Waves 2011 - 10th International Conference on Mathematical and Numerical Aspects of Waves, 25-29 July, 2011, Vancouver, Canada.

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    Abstract

    Complexity draws on commonality of universal phenomena and brings together research in fields that are traditionally quite disparate. A key thematic in the study of complex systems is pattern emergence. Spatial pattern formation can often be categorized as either: simple (possessing a single dominant scale); or fractal (possessing proportional levels of detail across many scales). Here, we present an overview of our research on the fractal-generating properties of two distinct wave contexts: fractal eigenmodes of linear systems with inherent magnification; and spontaneous spatial fractals in nonlinear systems. Our latest research focuses on: polygonal (“kaleidoscope”) linear laser cavities; and nonlinear cavity and bulk media optical systems. Results for linear systems include the first systematic study of fully-2D transverse eigenmodes that possess significant levels of fractality. New system geometries and media types are considered for nonlinear fractal generation. We conclude with proposal and exploration of some potential applications of fractal waves.

    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: Conference Proceedings
    Publisher: Pacific Institute for the Mathematical Sciences (PIMS)
    Refereed: Yes
    Depositing User: GS McDonald
    Date Deposited: 12 Oct 2011 12:26
    Last Modified: 20 Aug 2013 18:13
    URI: http://usir.salford.ac.uk/id/eprint/18246

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