Computationally determined existence and stability of transverse structures. I. Periodic optical patterns

Harkness, G.K. and Firth, W.J. and Oppo, G.L. and McSloy, J.M. (2002) Computationally determined existence and stability of transverse structures. I. Periodic optical patterns. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 66 (4). 046605-1. ISSN 2470-0053 (http://dx.doi.org/10.1103/PhysRevE.66.046605)

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Abstract

We present a Fourier-transform based, computer-assisted, technique to find the stationary solutions of a model describing a saturable absorber in a driven optical cavity. We illustrate the method by finding essentially exact hexagonal and roll solutions as a function of wave number and of the input pump. The method, which is widely applicable, also allows the determination of the domain of stability (Busse balloon) of the pattern, and sheds light on the mechanisms responsible for any instability. To show the usefulness of our numerical technique, we describe cracking and shrinking patches of patterns in a particular region of parameter space.

ORCID iDs

Harkness, G.K., Firth, W.J., Oppo, G.L. ORCID logoORCID: https://orcid.org/0000-0002-5376-4309 and McSloy, J.M.;
  • Item type:Article
    ID code:2896
    Dates:
    Date
    Event
    October 2002
    Published
    Keywords:transverse structures, optics, optical cavity, waves, photonics, Optics. Light, Physics and Astronomy(all), Mathematical Physics, Statistical and Nonlinear Physics, Condensed Matter Physics
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    Unknown Department
    Depositing user: Mr Derek Boyle
    Date deposited:09 Feb 2007
    Last modified:04 Oct 2022 01:22
    URI:https://strathprints.strath.ac.uk/id/eprint/2896
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