X-type vortex and its effect on beam shaping

@article{Pang2021XtypeVA,
  title={X-type vortex and its effect on beam shaping},
  author={Xiaoyan Pang and Weiwei Xiao and Han Zhang and Chen Feng and Xinying Zhao},
  journal={Journal of Optics},
  year={2021},
  volume={23}
}
In this article we propose a new type of optical vortex, the X-type vortex. This vortex inherits and develops the conventional noncanonical vortex, i.e. it no longer has a constant phase gradient around the center, while the intensity keeps invariant azimuthally. The strongly focusing properties of the X-type vortex and its effect on the beam shaping in three-dimensional (3D) fields are analyzed. The interesting phenomena, which cannot be seen in canonical vortices, are observed, for instance… 

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