Journal
APPLIED MATHEMATICS LETTERS
Volume 82, Issue -, Pages 64-70Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.02.018
Keywords
Nonlocal nonlinear Schrodinger equation; Optical soliton; Nonlinear propagation
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Funding
- National Natural Science Foundation of China [61308016, 11374089, 61605040]
- Hebei Provincial Natural Science Foundation of China [F2017205060, F2017205162, F2016205124]
- Science Foundation of Hebei Normal University [L2017J02]
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Based on the nonlocal nonlinear Schrodinger equation that governs phenomenologically the propagation of laser beams in nonlocal nonlinear media, we theoretically investigate the propagation of sinh-Gaussian beams (ShGBs). Mathematical expressions are derived to describe the beam propagation, the intensity distribution, the beam width, and the beam curvature radius of ShGBs. It is found that the propagation behavior of ShGBs is variable and closely related to the parameter of sinh function (PShF). If the PShF is small, the transverse pattern of ShGBs keeps invariant during propagation for a proper input power, which can be regarded as solitons. If the PShF is large, it varies periodically, which is similar to the evolution of temporal higher-order solitons in nonlinear optical fiber. Numerical simulations are carried out to illustrate the typical propagation characteristics. (C) 2018 Elsevier Ltd. All rights reserved.
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