Abstract

We have analytically and numerically investigated the propagation of three-dimensional self-decelerating Airy–elegant-Hermite–Gaussian (AiEHG) and Airy–helical-elegant-Hermite–Gaussian (AiHEHG) wave packets in free space. We find that AiEHG and AiHEHG wave packets will self-decelerate along the time domain during propagation. Furthermore, their intensity profiles are determined by the mode numbers $m$ and $n$ and the propagation distance. It is worth mentioning that the topological charges of the vortex of AiHEHG wave packets will change in propagation, which will change to one when the mode number $m$ is odd but two when the mode number $m$ is even.

© 2016 Optical Society of America

Three-dimensional localized Airy-Hermite-Gaussian and Airy-Helical-Hermite-Gaussian wave packets in free space

Fu Deng and Dongmei Deng
Opt. Express 24(5) 5478-5486 (2016)

Three-dimensional localized Airy elegant Laguerre–Gaussian light bullets in free space

Jiafan Wu, Fuqiang Huang, Yuqi Chen, Lang Cheng, Lefeng Li, and Dongmei Deng
J. Opt. Soc. Am. B 34(4) 808-813 (2017)

Three-dimensional localized Airy–Cartesian and Airy–helical–Cartesian wave packets in free space

Zhengzhong Huang and Dongmei Deng
J. Opt. Soc. Am. A 35(4) 536-545 (2018)

Three-dimensional localized chirped Airy-circular wave packets in free space

Guanwen Zhao, Shijie Chen, Zhengzhong Huang, and Dongmei Deng
J. Opt. Soc. Am. A 35(9) 1645-1652 (2018)

Three-dimensional localized Airy-Laguerre-Gaussian wave packets in free space

Wei-Ping Zhong, Milivoj Belić, and Yiqi Zhang
Opt. Express 23(18) 23867-23876 (2015)