Optical lattice solitons in nonlinear media under the condition of hollow cylinder boundary
Author(s) -
Jiang Xian-Ce,
Bin Xu,
Jianchu Liang,
Lin Yi
Publication year - 2013
Publication title -
acta physica sinica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.110205
Subject(s) - bessel function , soliton , physics , lattice (music) , nonlinear system , boundary value problem , cylinder , diffraction , nonlinear optics , optics , quantum mechanics , geometry , mathematics , acoustics
By using the self-similar method to solve the nonlinear Schrödinger eguation with distributed coefficients, the self-similar solitons in Bessel lattice are studied under the hollow cylinder boundary conditions and the analytical solutions are obtained. Analytical solutions and numerical solutions are found to be identical. The result indicates that optical lattices induced by non-diffractive Bessel beams are possible to support stable self-similar soliton clusters.
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