[1] [1] Jiang Y F, Zhao S F, Yu W L, et al. Propagation characteristics of radially shifted Gaussian beams and their radiation forces on Rayleigh particles［J］. Optics Communications,2018,426:58-62.

[4] [4] Pei S X, Xu S S, Cui F P, et al. Propagation of a Bessel-Gaussian beam in a gradient-index medium［J］. Applied Optics,2019,58(4):920-926.

[5] [5] Passier R, Devaux F, Chauvet M. Impact of tensorial nature of the electro-optic effect on vortex beam propagation in photorefractive media［J］. Optics Express,2008,16(10):7134-7141.

[6] [6] Cai Y J, Lu X H, Lin Q. Hollow Gaussian beams and their propagation properties［J］. Optics Letters,2003,28(13):1084-1086.

[7] [7] Deng D M, Guo Q. Exact nonparaxial propagation of a hollow Gaussian beam ［J］. Journal of the Optical Society of America B,2009,26(11):2044-2049.

[8] [8] Gao X M, Zhan Q F, Yun M J, et al. Focusing properties of spirally polarized hollow Gaussian beam［J］. Optical &Quantum Electronics,2011,42(14-15):827-840.

[9] [9] Sun Q G, Zhou K Y, Fang G Y, et al. Hollow sinh-Gaussian beams and their paraxial properties［J］. Optics Express,2012,20(9):9682-9691.

[10] [10] Tang B, Jiang S B, Jiang C, et al. Propagation properties of hollow sinh-Gaussian beams through fractional Fourier transform optical systems［J］. Optics & Laser Technology,2014,59:116-122.

[11] [11] Zou D F, Li X H, Pang X X, et al. Propagation properties of hollow sinh-Gaussian beams in quadratic-index medium［J］. Optics Communications,2017,401:54-58.

[12] [12] Liu Z R, Wang X, Hang K L. Enhancement of trapping efficiency by utilizing a hollow sinh-Gaussian beam［J］. Scientific Reports,2019,9:10187.

[13] [13] Hricha Z, Yaalou M, Belafhal A. Propagation of hollow sinh-Gaussian beams in strongly nonlocal nonlinear media［J］. Optics Communications,2021,478:126400.

[14] [14] Jiang Q C, Su Y L, Ma Z W, et al. Coherent interactions of multi-Airy-Gaussian beams in photorefractive media［J］. Journal of Optics,2020,49:224-229.

[15] [15] Liu Q S, Zhang Z X, Cui H, et al. Generation and manipulation of spiral beams in photovoltaic photorefractive crystal twinning with mirroring diffusion management［J］. Optics Communications,2021,478:126331.