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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Two-dimensional clusters of solitary structures in driven optical cavities

Vladimirov, Andrei G. and McSloy, John M. and Skryabin, Dmitry V. and Firth, William J. (2002) Two-dimensional clusters of solitary structures in driven optical cavities. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 65 (4). 046606-1. ISSN 1063-651X

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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.