论文标题
突然自动焦点的传播动力学在分数schrödinger方程
Propagation dynamics of abruptly autofocusing circular Airy-Gaussian vortex beams in the fractional Schrödinger equation
论文作者
论文摘要
我们以基于（2+1） - 二维分数Schrödinger方程为基于光学系统的模型中引入轴对称通风高斯涡流束，其特征在于其Lévy索引（LI）。通过数值方法，我们探索了0到4的涡度的光束的繁殖动力学。传播导致突然自动对焦，然后进行反转（从中心反弹）。结果表明，LI，通风和高斯因子的相对宽度，涡度决定了自动焦点动力学的性能，包括聚焦距离，焦点光点的半径以及焦点强度。在LI的中间值接近LI = 1.4处，达到峰强度的最大强度。也考虑了携带涡流对的通风高斯光束突然进行自动对焦的动力学（分裂双涡旋）。
We introduce axisymmetric Airy-Gaussian vortex beams in a model of an optical system based on the (2+1)-dimensional fractional Schrödinger equation, characterized by its Lévy index (LI). By means of numerical methods, we explore propagation dynamics of the beams with vorticities from 0 to 4. The propagation leads to abrupt autofocusing, followed by its reversal (rebound from the center). It is shown that LI, the relative width of the Airy and Gaussian factors, and the vorticity determine properties of the autofocusing dynamics, including the focusing distance, radius of the focal light spot, and peak intensity at the focus. A maximum of the peak intensity is attained at intermediate values of LI, close to LI=1.4 . Dynamics of the abrupt autofocusing of Airy-Gaussian beams carrying vortex pairs (split double vortices) is considered too.
