期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 55, 期 -, 页码 287-297出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2017.07.022
关键词
Generalized nonlinear Schrodinger equation; PT-symmetric lattice potential; Spatially-periodic momentum modulation; Gap solitons; Stability
类别
资金
- NSFC [11571346]
- Youth Innovation Promotion Association CAS
The influence of spatially-periodic momentum modulation on beam dynamics in paritytime (PT) symmetric optical lattice is systematically investigated in the one-and twodimensional nonlinear Schrdinger equations. In the linear regime, we demonstrate that the momentum modulation can alter the first and second PT thresholds of the classical lattice, periodically or regularly change the shapes of the band structure, rotate and split the diffraction patterns of beams leading to multiple refraction and emissions. In the Kerr-nonlinear regime for one-dimension (1D) case, a large family of fundamental solitons within the semi-infinite gap can be found to be stable, even beyond the second PT threshold; it is shown that the momentum modulation can shrink the existing range of fundamental solitons and not change their stability. For two-dimension (2D) case, most solitons with higher intensities are relatively unstable in their existing regions which are narrower than those in 1D case, but we also find stable fundamental solitons corroborated by linear stability analysis and direct beam propagation. More importantly, the momentum modulation can also utterly change the direction of the transverse power flow and control the energy exchange among gain or loss regions. (C) 2017 Elsevier B. V. All rights reserved.
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