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arXiv 2012.06483nlin.PSphysics.optics
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Propagation dynamics of the circular Airy Gaussian vortex beams in the fractional nonlinear Schrödinger equation

Shangling He, Kangzhu Zhou, Xi Peng, Jialong Tu, Yingji He, Dongmei Deng

英文摘要:

We have investigated the propagation dynamics of the circular Airy Gaussian vortex beams (CAGVBs) in a (2+1)-dimesional optical system discribed by fractional nonlinear Schrödinger equation (FNSE). By combining fractional diffraction with nonlinear effects, the abruptly autofocusing effect becomes weaker, the radius of the focusing beams becomes bigger and the autofocusing length will be shorter with increase of fractional diffraction Lévy index. It has been found that the abruptly autofocusing effect becomes weaker and the abruptly autofocusing length becomes longer if distribution factor of CAGVBs increases for fixing the Lévy index. The roles of the input power and the topological charge in determining the autofocusing properties are also discussed. Then, we have found the CAGVBs with outward acceleration and shown the autodefocusing properties. Finally, the off-axis CAGVBs with positive vortex pairs in the FNSE optical system have shown interesting features during propagation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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