The surface solitons in media with uniform and Gaussian modulated potentials

The surface solitons in media with uniform and Gaussian modulated potentials
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均匀高斯调制势介质中的表面孤子

DOI:
10.1016/j.optcom.2015.09.050
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发表时间:
2016-01
影响因子:
2.4
通讯作者:
Sumei hu
Sumei hu
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Haibo Chen;Sumei hu

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我们研究了具有均匀和高斯调制势的介质中孤子的存在和稳定性,包括线性情况和自聚焦和自散焦的非线性情况。对于线性情况,数值求解了不同调制深度的高斯势的本征值和本征函数。对于非线性情况,研究了自聚焦和自散焦介质中基极孤子和多极孤子的存在性和稳定性。对于固定的调制深度,基模或多极子的本征值等于基模和多极孤子存在的临界传播常数bcc。基孤子在自散焦非线性介质和自聚焦非线性介质中都是稳定的。多极孤子是稳定的,在自聚焦和自散焦非线性情况下,传输常数都接近于零。
We investigate the existence and stability of solitons in media with uniform and Gaussian modulated potentials, including linear case, and self-focusing and self-defocusing nonlinear cases. For linear case, the eigenvalues and eigenfunction for different modulated depths of Gaussian potentials are obtained numerically. For nonlinear cases, the existence and stability of fundamental and multipole solitons are studied in self-focusing and self-defocusing media. For a fixed modulated depth, the eigenvalue for fundamental or multipole linear modes is equal to the critical propagation constantbcof fundamental and multipole solitons existence. Fundamental solitons are stable in both the self-defocusing nonlinear media and the self-focusing nonlinear case. Multipole solitons are stable with the propagation constants close tobcboth for self-focusing and self-defocusing nonlinearities.
表面孤子在具有均匀和啁啾调制非线性的介质中的传播
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