[1] Jiang C Z, Zhang W R, Wang B et al. Influence of aberration on far-field distribution of laser beam emitted by space laser communication system[J]. Acta Optica Sinica, 40, 2206001(2020).

[2] Yan J W, Yong K L, Tang S F et al. Comparison of propagation characteristics between super Gaussian and Gaussian vortex beams in air[J]. Acta Optica Sinica, 40, 0201002(2020).

[3] Li R Q, Wang Z, Cui C et al. Diffraction of vortex beam by regular hexagonal multi-hole array[J]. Acta Optica Sinica, 38, 1005002(2018).

[4] Gong X, Zhang T R, Yang Y T et al. Propagation properties of sinh-squared-Gaussian beams through a left-handed material slab[J]. Chinese Journal of Lasers, 43, 0605001(2016).

[5] Chen J N, Yu Y J, Wang F F. The propagation of generalized hypergeometric beams in ABCD optical systems[J]. Acta Optica Sinica, 29, 902-906(2009).

[6] Ma H, Lü B D, Zhang B. Sinh-Gaussian beams and their transformation properties[J]. Chinese Journal of Lasers, 27, 697-702(2000).

[7] Wolf E. Electromagnetic diffraction in optical systems. I. An integral representation of the image field[J]. Proceedings of the Royal Society of London Series A, 253, 349-357(1959).

[8] Sheppard C J R. Validity of the Debye approximation[J]. Optics Letters, 25, 1660-1662(2000).

[9] Guo J, Lü B D, Duan K L. General integral expressions for converging spherical wave diffracted at a circular aperture[J]. High Power Laser & Particle Beams, 17, 343-346(2005).

[10] Guo J, Lü B D, Duan K L. The revision of Debye formula[J]. Laser Technology, 29, 380-382(2005).

[11] Born M, Wolf E[M]. Principles of optics(1999).

[12] Min G. Imaging with a high numerical-aperture objective[M]. Advanced optical imaging theory. Springer series in optical sciences, 75, 143-176(2000).

[13] Guo F Y, Li L H, Zheng H. Diffraction characteristic of light field with converging wave front[J]. Acta Optica Sinica, 41, 0526001(2021).

[14] Richards B, Wolf E. Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system[J]. Proceedings of the Royal Society of London Series A, 253, 358-379(1959).

[15] Shu W X, Lin C Y, Wu J et al. Three-dimensional spin Hall effect of light in tight focusing[J]. Physical Review A, 101, 023819(2020).

[16] Zhuang J L, Zhang L P, Deng D M. Tight-focusing properties of linearly polarized circular Airy Gaussian vortex beam[J]. Optics Letters, 45, 296-299(2020).

[17] Chen J, Zhan Q W. Tailoring laser focal fields with vectorial optical fields[J]. Acta Optica Sinica, 39, 0126002(2019).

[18] Youngworth K S, Brown T G. Focusing of high numerical aperture cylindrical-vector beams[J]. Optics Express, 7, 77-87(2000).

[19] Wang F, Zhao C L, Dong Y et al. Generation and tight-focusing properties of cylindrical vector circular Airy beams[J]. Applied Physics B, 117, 905-913(2014).

[20] Janet C A P, Rajesh K B, Udhayakumar M et al. Tight focusing properties of radially polarized Gaussian beams with pair of vortices[J]. Chinese Physics Letters, 33, 124206(2016).

[21] Li W C, Yang Y F, He Y et al. Triple optical chain generated by tight focusing of azimuthally polarized higher-order Laguerre-Gauss vortex beams[J]. Acta Optica Sinica, 39, 0826002(2019).

[22] Chen J[M]. Optical electromagnetic theory, 1-74(2005).

[23] Chen Y S, Wu J B, Wang J Y et al. Improved laser-spot-position resolution model[J]. Chinese Journal of Lasers, 46, 0904004(2019).

[24] Goodman J W[M]. Introduction to Fourier optics, 1-120(1996).