Trajectory engineering via a space-fractional Schrodinger equation with dynamic linear index potential  

作　　者：Yunji Meng Youwen Liu Haijiang Lv 孟云吉;刘友文;吕海江(School of Information Engineering,Huangshan University,Huangshan 245041,China;College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China)

机构地区：[1]School of Information Engineering,Huangshan University,Huangshan 245041,China [2]College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China

出　　处：《Chinese Physics B》2020年第5期229-234,共6页中国物理B（英文版）

基　　金：Project supported by the Natural Science Research Project of Anhui Provincal Education Department of China(Grant Nos.KJHS2018B01 and KJ2018A0407);the National Natural Science Foundation of China(Grant No.11804112);the Natural Science Foundation of Anhui Province of China(Grant No.1808085QA22);Start-up Fund of Huangshan University,China(Grant No.2015xkjq001).

摘　　要：We theoretically and numerically study the propagation dynamics of a Gaussian beam modeled by the fractional Schrodinger equation with different dynamic linear potentials. For the limited case α = 1(α is the Lévy index) in the momentum space, the beam suffers a frequency shift which depends on the applied longitudinal modulation and the involved chirp. While in the real space, by precisely controlling the linear chirp, the beam will exhibit two different evolution characteristics: one is the zigzag trajectory propagation induced by multi-reflection occurring at the zeros of spatial spectrum,the other is diffraction-free propagation. Numerical simulations are in full accordance with the theoretical results. Increase of the Lévy index not only results in the drift of those turning points along the transverse direction, but also leads to the delocalization of the Gaussian beam.

关 键 词：trajectory engineering space-fractional Schrodinger equation dynamic linear index potential 

分 类 号：O43[机械工程—光学工程]