Propagation properties of autofocusing off-axis hollow vortex Gaussian beams in free space

By solving the (2 + 1) dimensional Schrödinger equation in free space, we find that the autofocusing off-axis hollow vortex Gaussian beams (HVGBs) are analytically derived for the first time. The off-axis HVGBs can be adjusted by changing the off-axis coordinate (x0,y0) and topological charge n . In...

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Bibliographic Details
Published in:Optics express 2019-03, Vol.27 (5), p.6357-6369
Main Authors: Chen, Gengxin, Huang, Xiangxin, Xu, Chuangjie, Huang, Linjin, Xie, Jintao, Deng, Dongmei
Format: Article
Language:English
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Summary:By solving the (2 + 1) dimensional Schrödinger equation in free space, we find that the autofocusing off-axis hollow vortex Gaussian beams (HVGBs) are analytically derived for the first time. The off-axis HVGBs can be adjusted by changing the off-axis coordinate (x0,y0) and topological charge n . In particular, by increasing the off-axis coordinate (x0,y0), the self-focusing intensity can be increased. Besides, the self-focusing property can be more obvious. Furthermore, by increasing the hollow order n , we can deepen the depth of focus, make the focus position further away, and increase the self-focusing intensity too. We also discuss other propagation properties that are used to enrich the autofocusing off-axis HVGBs, such as Poynting vector, angular momentum, gradient force, and maximum scattering force during propagation.
ISSN:1094-4087
1094-4087
DOI:10.1364/OE.27.006357