• Acta Optica Sinica
  • Vol. 29, Issue 6, 1653 (2009)
Chen Susong*
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  • [in Chinese]
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    Chen Susong. Two-Dimensional Self-Similar Soliton Waves in Highly Nonlocal Media[J]. Acta Optica Sinica, 2009, 29(6): 1653 Copy Citation Text show less

    Abstract

    The propagation of two-dimensional (2D) spatial soliton waves in highly nonlocal media is investigated analytically by using self-similar mothod. A broad class of exact self-similar solutions to the highly nonlocal Schrdinger equation is obtained, and it can be described by Whittaker function in highly nonlocal media. The results demonstrate that there exist soliton waves, propagating in a self-similar manner. The higher-order spatial soliton waves can exist in various forms, such as 2D Gaussian soliton family, vortex-ring soliton family, multipole soliton family and defects soliton family by choosing optical soliton parameters. The stability of these soliton clusters in propagation is confirmed by direct numerical simulation.
    Chen Susong. Two-Dimensional Self-Similar Soliton Waves in Highly Nonlocal Media[J]. Acta Optica Sinica, 2009, 29(6): 1653
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