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

[2] Zhan Q W. Cylindrical vector beams: from mathematical concepts to applications[J]. Advances in Optics and Photonics, 1, 1-57(2009).

[3] Wang X L, Li Y N, Chen J et al. A new type of vector fields with hybrid states of polarization[J]. Optics Express, 18, 10786-10795(2010).

[4] Lerman G M, Stern L, Levy U. Generation and tight focusing of hybridly polarized vector beams[J]. Optics Express, 18, 27650-27657(2010).

[5] Beckley A M, Brown T G, Alonso M A. Full Poincaré beams[J]. Optics Express, 18, 10777-10785(2010).

[6] Beckley A M, Brown T G, Alonso M A. Full Poincaré beams Ⅱ: partial polarization[J]. Optics Express, 20, 9357-9362(2012).

[7] Yu R L, Xin Y, Zhao Q et al. Array of polarization singularities in interference of three waves[J]. Journal of the Optical Society of America A, 30, 2556-2560(2013).

[8] Pan Y, Li S M, Mao L et al. Vector optical fields with polarization distributions similar to electric and magnetic field lines[J]. Optics Express, 21, 16200-16209(2013).

[9] Han L, Liu S, Li P et al. Managing focal fields of vector beams with multiple polarization singularities[J]. Applied Optics, 55, 9049-9053(2016).

[10] Wang X L, Chen J, Li Y N et al. Optical orbital angular momentum from the curl of polarization[J]. Physical Review Letters, 105, 253602(2010).

[11] Li Y K, Zou Y, Liu S et al. Linear and nonlinear photonic spin Hall effect induced by analog circular birefringence of Bessel-like beams[J]. Photonics Research, 11, 1553-1561(2023).

[12] Liu S, Qi S X, Li P et al. Analogous optical activity in free space using a single Pancharatnam-Berry phase element[J]. Laser & Photonics Reviews, 16, 2100291(2022).

[13] Liu S, Qi S X, Li Y K et al. Controllable oscillated spin Hall effect of Bessel beam realized by liquid crystal Pancharatnam-Berry phase elements[J]. Light, Science & Applications, 11, 219(2022).

[14] Pan Y, Gao X Z, Cai M Q et al. Fractal vector optical fields[J]. Optics Letters, 41, 3161-3164(2016).

[15] Pan Y, Li Y N, Ren Z C et al. Parabolic-symmetry vector optical fields and their tightly focusing properties[J]. Physical Review A, 89, 035801(2014).

[16] Lerman G M, Lilach Y, Levy U. Demonstration of spatially inhomogeneous vector beams with elliptical symmetry[J]. Optics Letters, 34, 1669-1671(2009).

[17] Lerman G M, Levy U. Tight focusing of spatially variant vector optical fields with elliptical symmetry of linear polarization[J]. Optics Letters, 32, 2194-2196(2007).

[18] Attene M, Patanè G. Hierarchical structure recovery of point-sampled surfaces[J]. Computer Graphics Forum, 29, 1905-1920(2010).

[19] Li P, Fan X H, Li Y et al. Progress on longitudinal modulation of light field (invited)[J]. Acta Photonica Sinica, 51, 0151104(2022).

[20] Li Y K, Zou Y, Guo Z J et al. Constructing arbitrary self-similar Bessel-like beams via transverse-longitudinal mapping[J]. Chinese Optics Letters, 22, 022601(2024).

[21] Gao X Z, Pan Y, Zhao M D et al. Focusing behavior of the fractal vector optical fields designed by fractal lattice growth model[J]. Optics Express, 26, 1597-1614(2018).

[22] Zhu X T, Zheng P C, Xie X S. Super-diffraction focusing based on Bessel beam controlled by composited light field[J]. Laser & Optoelectronics Progress, 59, 2105001(2022).

[23] Pan Y, Li Y N, Li S M et al. Vector optical fields with bipolar symmetry of linear polarization[J]. Optics Letters, 38, 3700-3703(2013).

[24] Fan X H, Wu X G, Zhou L et al. Longitudinally encoding and decoding information in light field arrays based on metasurface[J]. Chinese Journal of Lasers, 50, 1813013(2023).

[25] Cai M Q, Tu C H, Zhang H H et al. Subwavelength multiple focal spots produced by tight focusing the patterned vector optical fields[J]. Optics Express, 21, 31469-31482(2013).

[26] Gao X Z, Pan Y, Cai M Q et al. Hyperbolic-symmetry vector fields[J]. Optics Express, 23, 32238-32252(2015).

[27] Sun W G, Ji L F, Zheng J C et al. High-aspect-ratio photonic-crystal structure of lithium niobate fabricated via femtosecond Bessel beam direct writing[J]. Chinese Journal of Lasers, 49, 1002503(2022).

[28] Sheppard C J R, Choudhury A. Annular pupils, radial polarization, and superresolution[J]. Applied Optics, 43, 4322-4327(2004).

[29] Yang L X, Xie X S, Wang S C et al. Minimized spot of annular radially polarized focusing beam[J]. Optics Letters, 38, 1331-1333(2013).

[30] Dorn R, Quabis S, Leuchs G. Sharper focus for a radially polarized light beam[J]. Physical Review Letters, 91, 233901(2003).

[31] Chen Z Y, Zhao D M. 4Pi focusing of spatially modulated radially polarized vortex beams[J]. Optics Letters, 37, 1286-1288(2012).

[32] Fu J, Wang Y, Chen P F. The minimum number belts of DOE for Bessel-Gauss beams to generate a strong longitudinally polarized beam[J]. Applied Physics B, 123, 274(2017).

[33] Liu S, Guo Z J, Li P et al. Tightly autofocusing beams: an effective enhancement of longitudinally polarized fields[J]. Optics Letters, 45, 575-578(2020).

[34] Han L, Qi S X, Liu S et al. Tightly focused light field with controllable pure transverse polarization state at the focus[J]. Optics Letters, 45, 6034-6037(2020).

[35] Gu B, Cui Y P. Nonparaxial and paraxial focusing of azimuthal-variant vector beams[J]. Optics Express, 20, 17684-17694(2012).

[36] Kotlyar V V, Kovalev A A. Nonparaxial propagation of a Gaussian optical vortex with initial radial polarization[J]. Journal of the Optical Society of America A, 27, 372-380(2010).