论文标题
分数非线性schrödinger方程中圆形通风高斯涡流梁的传播动力学
Propagation dynamics of the circular Airy Gaussian vortex beams in the fractional nonlinear Schrödinger equation
论文作者
论文摘要
我们已经研究了（2+1） - 时间的光学系统中圆形通风高斯涡流束（CAGVB）的传播动力学。通过将分数衍射与非线性效应相结合，突然自动焦点效应变得较弱，聚焦束的半径变得更大，并且随着分数衍射LévyIndex的增加，自动对焦的长度将更短。已经发现，如果CAGVBS的分布因素增加以固定Lévy指数，则突然自动进行效应会变得较弱，并且突然自动关注长度变长。还讨论了输入功率和拓扑费用在确定自动关注性质中的作用。然后，我们发现了具有向外加速度的CAGVB，并显示了自动化属性的属性。最后，FNSE光学系统中具有正涡旋对的离轴CAGVB在传播过程中显示出有趣的特征。
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.
