Gap solitons in the nonlinear fractional Schrodinger equation with an optical lattice
Gap solitons in the nonlinear fractional Schrodinger equation with an optical lattice
复制标题
光学晶格非线性分数阶薛定谔方程中的间隙孤子
DOI：
10.1364/ol.41.005636
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发表时间：
2016-12-15
期刊：
影响因子：
3.6
通讯作者：
Dong, Liangwei
中科院分区：
文献类型：
--
作者：
Huang, Changming;Dong, Liangwei
我们预言了具有印记光学谐振晶格的非线性分数阶薛定谔方程（NLFSE）中间隙孤子的存在性。在离焦/聚焦克尔介质中，对称/反对称非线性局域模从第一/第二带的下/上边缘分叉。我们发现，在聚焦Kerr介质中，随着Levy指数的减小，有限带隙中出现稳定的孤子，这与聚焦非线性的标准NLSE形成鲜明对比.同时也揭示了由NLFSE支持的同相和异相孤子单元组成的非线性束缚态。我们的工作为分数维空间晶格孤子的研究奠定了基础。(C)2016美国光学学会
We predict the existence of gap solitons in the nonlinear fractional Schrodinger equation (NLFSE) with an imprinted optically harmonic lattice. Symmetric/antisymmetric nonlinear localized modes bifurcate from the lower/upper edge of the first/second band in defocusing/focusing Kerr media. A unique feature we revealed is that, in focusing Kerr media, stable solitons appear in the finite bandgaps with the decrease of the Levy index, which is in sharp contrast to the standard NLSE with a focusing nonlinearity. Nonlinear bound states composed by in-phase and out-of-phase soliton units supported by the NLFSE are also uncovered. Our work may pave the way for the study of spatial lattice solitons in fractional dimensions. (C) 2016 Optical Society of America