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.
|Number of pages||46605|
|Journal||Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - Mar 2002|
- two-dimensional localized structures
- optical cavities
Vladimirov, A. G., McSloy, J. M., Skryabin, D. V., & Firth, W. 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. https://doi.org/10.1103/PhysRevE.65.046606