Two-dimensional clusters of solitary structures in driven optical cavities

Andrei G. Vladimirov, John M. McSloy, Dmitry V. Skryabin, William J. Firth

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Abstract

Using analytical and numerical approaches we study clusters of the two-dimensional localized structures of light excited in the externally driven optical cavities. Stability and instability properties of clusters of two, three, and four structures are analyzed in detail. We develop a technique for calculation of the expression for the interaction potential through modified Bessel functions that has applicability going beyond the model under consideration. Qualitative differences between stability properties of triangular and square structures are found that emphasize the role of diagonal interactions in the latter.
Original languageEnglish
Pages (from-to)046606-1
Number of pages46605
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume65
Issue number4
DOIs
Publication statusPublished - Mar 2002

Keywords

  • optics
  • light
  • two-dimensional localized structures
  • optical cavities

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