Skip to the content

Diffractive origin of fractal resonator modes

New, GHC, Yates, M, Woerdman, JP and Mcdonald, GS 2001, 'Diffractive origin of fractal resonator modes' , Optics Communications, 193 (1-6) , pp. 261-266.

[img] PDF - Published Version
Restricted to Repository staff only

Download (165kB) | Request a copy


    The modes of unstable optical resonators possess fractal character. In this paper, the fundamental question of how and why fractals originate in one of the simplest linear optical systems is addressed. The answer is related to the fact that unstable resonator modes consist of a superposition of Fresnel diffraction patterns with effectively random phases. A connection is established between the mode eigenvalues and their fractal dimensions, and the consequent prediction that higher-order modes should exhibit lower fractal dimension is confirmed by numerical demonstration.

    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: Optics Communications
    Publisher: Elsevier Science B.V.
    Refereed: Yes
    ISSN: ISSN: 00304018
    Depositing User: GS McDonald
    Date Deposited: 14 Oct 2011 10:34
    Last Modified: 20 Aug 2013 18:14

    Actions (login required)

    Edit record (repository staff only)

    Downloads per month over past year

    View more statistics