Propagation properties of Airy–Gaussian vortex beams through the gradient-index medium

• DOI: 10.1364/josaa.33.001025
• Publication Date: 2016-05-05T21:47:15Z
• Authors: Ruihuang Zhao; Fu Deng; Weihao Yu; Jiayao Huang; Dongmei Deng
• Keywords: Optical vortex

Propagation of Airy-Gaussian vortex (AiGV) beams through the gradient-index medium is investigated analytically and numerically with transfer matrix method. Deriving analytic expression AiGV based on Huygens diffraction integral formula, we obtain propagate path, intensity phase distributions, Poynting vector first- second-order beams, which paraxial ABCD system. The ballistic trajectory no longer conventional parabolic but trigonometric shapes in medium. Especially, represent singular behavior at propagation path light distribution. distribution exhibit reverse when singularity. As order increases, main lobe gradually overlapped by core. Further, sidelobe weakens nearly to Additionally, figure proves direction energy flow corresponding larger, velocity faster than that first order.