Two-dimensional clusters of solitary structures in driven optical cavities

被引:100
作者
Vladimirov, Andrei G. [1 ]
McSloy, John M. [2 ]
Skryabin, Dmitry V. [3 ]
Firth, William J. [2 ]
机构
[1] Physics Faculty, St. Petersburg State University, St. Petersburg 198904, Russia
[2] Dept. of Physics and Applied Physics, University of Strathclyde, Glasgow G4 0NG, United Kingdom
[3] Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom
来源
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 04期
关键词
Diffraction - Diffusion - Green's function - Mirrors - Nonlinear optics - Solitons - Vectors;
D O I
10.1103/PhysRevE.65.046606
中图分类号
学科分类号
摘要
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. © 2002 The American Physical Society.
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页码:1 / 046606
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