[1] X F Zang, F L Dong, F Y Yue et al. Polarization encoded color image embedded in a dielectric metasurface. Adv Mater, 30, 1707499(2018).
[2] K Sasagawa, N Wakama, T Noda et al. On-chip polarizer on image sensor using advanced CMOS technology. Proc SPIE, 8974, 89740I(2014).
[3] D N Pattanayak, G P Agrawal. Representation of vector electromagnetic beams. Phys Rev A, 22, 1159-1164(1980).
[4] E Snitzer. Cylindrical dielectric waveguide modes. J Opt Soc Am, 51, 491-498(1961).
[5] Y Mushiake, K Matsumura, N Nakajima. Generation of radially polarized optical beam mode by laser oscillation. Proc IEEE, 60, 1107-1109(1972).
[6] D Pohl. Operation of a ruby laser in the purely transverse electric mode TE01. Appl Phys Lett, 20, 266-267(1972).
[7] K S Youngworth, T G Brown. Focusing of high numerical aperture cylindrical-vector beams. Opt Express, 7, 77-87(2000).
[8] B Richards, E Wolf. Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system. Proc Roy Soc A Math Phys Eng Sci, 253, 358-379(1959).
[9] A M Beckley, T G Brown, M A Alonso. Full Poincaré beams II: partial polarization. Opt Express, 20, 9357-9362(2012).
[10] A M Beckley, T G Brown, M A Alonso. Full Poincaré beams. Opt Express, 18, 10777-10785(2010).
[11] K Lou, S X Qian, Z C Ren et al. Femtosecond laser processing by using patterned vector optical fields. Sci Rep, 3, 2281(2013).
[12] M Q Cai, C H Tu, H H Zhang et al. Subwavelength multiple focal spots produced by tight focusing the patterned vector optical fields. Opt Express, 21, 31469-31482(2013).
[13] X L Xia, X Z Zeng, S C Song et al. Longitudinal super-resolution spherical multi-focus array based on column vector light modulation. Opto-Electron Eng, 49, 220109(2022).
[14] Y J Zhang, J P Bai. Improving the recording ability of a near-field optical storage system by higher-order radially polarized beams. Opt Express, 17, 3698-3706(2009).
[15] X Hao, C F Kuang, T T Wang et al. Phase encoding for sharper focus of the azimuthally polarized beam. Opt Lett, 35, 3928-3930(2010).
[16] Y Pan, Y N Li, S M Li et al. Vector optical fields with bipolar symmetry of linear polarization. Opt Lett, 38, 3700-3703(2013).
[17] Y Pan, Y N Li, Z C Ren et al. Parabolic-symmetry vector optical fields and their tightly focusing properties. Phys Rev A, 89, 035801(2014).
[18] G Milione, T A Nguyen, J Leach et al. Using the nonseparability of vector beams to encode information for optical communication. Opt Lett, 40, 4887-4890(2015).
[19] Y F Zhao, J Wang. High-base vector beam encoding/decoding for visible-light communications. Opt Lett, 40, 4843-4846(2015).
[20] A Klug, C Peters, A Forbes. Robust structured light in atmospheric turbulence. Adv Photonics, 5, 016006(2023).
[21] Q Cao, Z Chen, C Zhang et al. Propagation of transverse photonic orbital angular momentum through few-mode fiber. Adv Photonics, 5, 036002(2023).
[22] C L Holloway, E F Kuester, J A Gordon et al. An overview of the theory and applications of metasurfaces: the two-dimensional equivalents of metamaterials. IEEE Antennas Propag Mag, 54, 10-35(2012).
[23] Q Zhu, H W Tian, W X Jiang. Manipulations and applications of radiating waves using electromagnetic metasurfaces. Opto-Electron Eng, 50, 230115(2023).
[24] K Xu, X E Wang, X H Fan et al. Meta-holography: from concept to realization. Opto-Electron Eng, 49, 220183(2022).
[25] B Liu, X Xie, X T Gan et al. Applications and progress of all-metal metasurfaces in phase manipulation of electromagnetic waves. Opto-Electron Eng, 50, 230119(2023).
[26] A H Dorrah, F Capasso. Tunable structured light with flat optics. Science, 376, eabi6860(2022).
[27] C He, Y J Shen, A Forbes. Towards higher-dimensional structured light. Light Sci Appl, 11, 205(2022).
[28] E Otte, C Alpmann, C Denz. Polarization singularity explosions in tailored light fields. Laser Photonics Rev, 12, 1700200(2018).
[29] X W Wang, Z Q Nie, Y Liang et al. Recent advances on optical vortex generation. Nanophotonics, 7, 1533-1556(2018).
[30] A Forbes. Structured light from lasers. Laser Photonics Rev, 13, 1900140(2019).
[31] K E Oughstun. Electromagnetic theory of gratings. Proc IEEE, 70, 687(1982).
[33] D Y Wang, T Liu, Y J Zhou et al. High-efficiency metadevices for bifunctional generations of vectorial optical fields. Nanophotonics, 10, 685-695(2020).
[34] X G Luo, M B Pu, F Zhang et al. Vector optical field manipulation via structural functional materials: tutorial. J Appl Phys, 131, 181101(2022).
[35] D G Hall. Vector-beam solutions of Maxwell’s wave equation. Opt Lett, 21, 9-11(1996).
[36] E J Galvez, S Khadka, W H Schubert et al. Poincaré-beam patterns produced by nonseparable superpositions of Laguerre–Gauss and polarization modes of light. Appl Opt, 51, 2925-2934(2012).
[37] Q W Zhan. Cylindrical vector beams: from mathematical concepts to applications. Adv Opt Photonics, 1, 1-57(2009).
[38] X L Wang, J P Ding, W J Ni et al. Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement. Opt Lett, 32, 3549-3551(2007).
[39] C Rosales-Guzmán, B Ndagano, A Forbes. A review of complex vector light fields and their applications. J Opt, 20, 123001(2018).
[40] M J Padgett, J Courtial. Poincaré-sphere equivalent for light beams containing orbital angular momentum. Opt Lett, 24, 430-432(1999).
[41] W Han, W Cheng, Q W Zhan. Flattop focusing with full Poincaré beams under low numerical aperture illumination. Opt Lett, 36, 1605-1607(2011).
[42] W Cheng, W Han, Q W Zhan. Compact flattop laser beam shaper using vectorial vortex. Appl Opt, 52, 4608-4612(2013).
[43] Y X Xue, Y S Wang, S C Zhou et al. Focus shaping and optical manipulation using highly focused second-order full Poincaré beam. J Opt Soc Am A, 35, 953-958(2018).
[44] L G Wang. Optical forces on submicron particles induced by full Poincaré beams. Opt Express, 20, 20814-20826(2012).
[45] M F Ferrer-Garcia, D Lopez-Mago. Newtonian orbits of nanoparticles interacting with structured light beams. J Opt, 21, 125403(2019).
[46] M G Donato, S Vasi, R Sayed et al. Optical trapping of nanotubes with cylindrical vector beams. Opt Lett, 37, 3381-3383(2012).
[47] Y L Gu, G Gbur. Reduction of turbulence-induced scintillation by nonuniformly polarized beam arrays. Opt Lett, 37, 1553-1555(2012).
[48] C Wei, D Wu, C H Liang et al. Experimental verification of significant reduction of turbulence-induced scintillation in a full Poincaré beam. Opt Express, 23, 24331-24341(2015).
[49] G Milione, H I Sztul, R R Alfano. Stokes polarimetry of a hybrid vector beam from a spun elliptical core optical fiber. Proc SPIE, 7613, 761305(2010).
[50] G Milione, H I Sztul, D A Nolan et al. Higher-order Poincaré sphere, stokes parameters, and the angular momentum of light. Phys Rev Lett, 107, 053601(2011).
[51] A Holleczek, A Aiello, C Gabriel et al. Classical and quantum properties of cylindrically polarized states of light. Opt Express, 19, 9714-9736(2011).
[52] S Z Chen, X X Zhou, Y C Liu et al. Generation of arbitrary cylindrical vector beams on the higher order Poincaré sphere. Opt Lett, 39, 5274-5276(2014).
[53] Y C Liu, X H Ling, X N Yi et al. Realization of polarization evolution on higher-order Poincaré sphere with metasurface. Appl Phys Lett, 104, 191110(2014).
[54] Y L He, Z X Liu, Y C Liu et al. Higher-order laser mode converters with dielectric metasurfaces. Opt Lett, 40, 5506-5509(2015).
[55] G M Fernandes, N J Muga, A N Pinto. Space-demultiplexing based on higher-order Poincaré spheres. Opt Express, 25, 3899-3915(2017).
[56] H Yang, Z W Xie, G H Li et al. All-dielectric metasurface for fully resolving arbitrary beams on a higher-order Poincaré sphere. Photonics Res, 9, 331-343(2021).
[57] X N Yi, Y C Liu, X H Ling et al. Hybrid-order Poincaré sphere. Phys Rev A, 91, 023801(2015).
[58] Z X Liu, Y Y Liu, Y G Ke et al. Generation of arbitrary vector vortex beams on hybrid-order Poincaré sphere. Photonics Res, 5, 15-21(2017).
[59] S Z Lou, Y Q Zhou, Y D Yuan et al. Generation of arbitrary vector vortex beams on hybrid-order Poincaré sphere based on liquid crystal device. Opt Express, 27, 8596-8604(2019).
[60] R S Wang, S S He, S Z Chen et al. Electrically driven generation of arbitrary vector vortex beams on the hybrid-order Poincaré sphere. Opt Lett, 43, 3570-3573(2018).
[61] X B Dai, Y Q Li, L H Liu. Tight focusing properties of hybrid-order Poincaré sphere beams. Opt Commun, 426, 46-53(2018).
[62] Z C Ren, L J Kong, S M Li et al. Generalized Poincaré sphere. Opt Express, 23, 26586-26595(2015).
[63] Z S Man, Z D Bai, J J Li et al. Focus shaping by tailoring arbitrary hybrid polarization states that have a combination of orthogonal linear polarization bases. Appl Opt, 57, 3047-3055(2018).
[64] Y Pan, X Z Gao, Z C Ren et al. Arbitrarily tunable orbital angular momentum of photons. Sci Rep, 6, 29212(2016).
[65] J Ishihara, T Mori, T Suzuki et al. Imprinting spatial helicity structure of vector vortex beam on spin texture in semiconductors. Phys Rev Lett, 130, 126701(2023).
[66] V D’Ambrosio, G Carvacho, I Agresti et al. Tunable two-photon quantum interference of structured light. Phys Rev Lett, 122, 013601(2019).
[67] M Meier, V Romano, T Feurer. Material processing with pulsed radially and azimuthally polarized laser radiation. Appl Phys A, 86, 329-334(2007).
[68] F Tamburini, B Thidé, G Molina-Terriza et al. Twisting of light around rotating black holes. Nat Phys, 7, 195-197(2011).
[69] A Nicolas, L Veissier, L Giner et al. A quantum memory for orbital angular momentum photonic qubits. Nat Photonics, 8, 234-238(2014).
[70] J Y Xie, J Qian, T J Wang et al. Integrated terahertz vortex beam emitter for rotating target detection. Adv Photonics, 5, 066002(2023).
[71] Z Z Lin, J Q Hu, Y J Chen et al. Single-shot Kramers–Kronig complex orbital angular momentum spectrum retrieval. Adv Photonics, 5, 036006(2023).
[72] L Li, Y C Guo, Z C Zhang et al. Photon total angular momentum manipulation. Adv Photonics, 5, 056002(2023).
[73] W H Jia, C X Gao, Y M Zhao et al. Intracavity spatiotemporal metasurfaces. Adv Photonics, 5, 026002(2023).
[74] G J Fang, S H Sun, J X Pu. Experimental study on fractional double-vortex beams. Acta Phys Sin, 61, 064210(2012).
[75] A Chong, C H Wan, J Chen et al. Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum. Nat Photonics, 14, 350-354(2020).
[76] C H Wan, Q Cao, J Chen et al. Toroidal vortices of light. Nat Photonics, 16, 519-522(2022).
[77] Q Xu, X Q Su, X Q Zhang et al. Mechanically reprogrammable Pancharatnam–Berry metasurface for microwaves. Adv Photonics, 4, 016002(2022).
[78] H R Lv, X Q Lu, Y S Han et al. Metasurface cylindrical vector light generators based on nanometer holes. New J Phys, 21, 123047(2019).
[79] S Y Wang, D C Abeysinghe, Q W Zhan. Generation of vectorial optical fields with slot-antenna-based metasurface. Opt Lett, 40, 4711-4714(2015).
[80] X N Yi, X H Ling, W G He et al. Generation and representation of vector vortex beams based on metasurfaces. Proc SPIE, 10022, 1002225(2016).
[81] A Arbabi, Y Horie, M Bagheri et al. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat Nanotechnol, 10, 937-943(2015).
[82] T Li, X B Hu, H M Chen et al. High-efficiency broadband vector beams using polarization rotation metasurfaces. IEEE Photonics Technol Lett, 29, 1463-1466(2017).
[83] X N Yi, P L Huang, X Z Huang et al. Operation of polarization order of vector beams with cascaded metasurfaces. Appl Phys B, 123, 243(2017).
[84] L Ke, S M Zhang, C X Li et al. Research progress on hybrid vector beam implementation by metasurfaces. Opto-Electron Eng, 50, 230117(2023).
[85] Z Shen, R Li, Y Z Xue et al. Generation of optical vortices with polarization-insensitive metasurfaces. IEEE Photonics J, 12, 4601010(2020).
[87] F Zhang, M B Pu, Y H Guo et al. Synthetic vector optical fields with spatial and temporal tunability. Sci China Phys Mech Astron, 65, 254211(2022).
[88] M B Pu, X Li, X L Ma et al. Catenary optics for achromatic generation of perfect optical angular momentum. Sci Adv, 1, e1500396(2015).
[89] F Zhang, M B Pu, X Li et al. Extreme-angle silicon infrared optics enabled by streamlined surfaces. Adv Mater, 33, 2008157(2021).
[90] Z J Shi, A Y Zhu, Z Y Li et al. Continuous angle-tunable birefringence with freeform metasurfaces for arbitrary polarization conversion. Sci Adv, 6, eaba3367(2020).
[91] X G Luo, X Li, M B Pu et al. Symmetric and asymmetric photonic spin-orbit interaction in metasurfaces. Prog Quantum Electron, 79, 100344(2021).
[92] F Zhang, Y H Guo, M B Pu et al. Metasurfaces enabled by asymmetric photonic spin-orbit interactions. Opto-Electron Eng, 47, 200366(2020).
[93] F Zhang, M B Pu, J Luo et al. Symmetry breaking of photonic spin-orbit interactions in metasurfaces. Opto-Electron Eng, 44, 319-325(2017).
[94] Mueller J P Balthasar, N A Rubin, R C Devlin et al. Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization. Phys Rev Lett, 118, 113901(2017).
[95] F Zhang, X Xie, M B Pu et al. Multistate switching of photonic angular momentum coupling in phase-change metadevices. Adv Mater, 32, 1908194(2020).
[96] Q W Zhan. Evanescent bessel beam generation via surface Plasmon resonance excitation by a radially polarized beam. Opt Lett, 31, 1726-1728(2006).
[97] R Martínez-Herrero, P M Mejías, I Juvells et al. Transverse and longitudinal components of the propagating and evanescent waves associated to radially polarized nonparaxial fields. Appl Phys B, 106, 151-159(2012).
[98] W B Chen, Q W Zhan. Realization of an evanescent Bessel beam via surface Plasmon interference excited by a radially polarized beam. Opt Lett, 34, 722-724(2009).
[99] W B Chen, D C Abeysinghe, R L Nelson et al. Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination. Nano Lett, 9, 4320-4325(2009).
[100] J S Diao, W Z Yuan, Y T Yu et al. Controllable design of super-oscillatory planar lenses for sub-diffraction-limit optical needles. Opt Express, 24, 1924-1933(2016).
[101] M Khorasaninejad, W T Chen, R C Devlin et al. Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging. Science, 352, 1190-1194(2016).
[102] S Y Wang, Q W Zhan. Reflection type metasurface designed for high efficiency vectorial field generation. Sci Rep, 6, 29626(2016).
[103] G C G Berkhout, M P J Lavery, J Courtial et al. Efficient sorting of orbital angular momentum states of light. Phys Rev Lett, 105, 153601(2010).
[104] O Bryngdahl. Geometrical transformations in optics. J Opt Soc Am, 64, 1092-1099(1974).
[105] P Genevet, J Lin, M A Kats et al. Holographic detection of the orbital angular momentum of light with plasmonic photodiodes. Nat Commun, 3, 1278(2012).
[106] H Yang, Z Q Chen, Q Liu et al. Near-field orbital angular momentum generation and detection based on spin-orbit interaction in gold metasurfaces. Adv Theory Simul, 2, 1900133(2019).
[107] Y M Yang, W Y Wang, P Moitra et al. Dielectric meta-reflectarray for broadband linear polarization conversion and optical vortex generation. Nano Lett, 14, 1394-1399(2014).
[108] K Ou, G H Li, T X Li et al. High efficiency focusing vortex generation and detection with polarization-insensitive dielectric metasurfaces. Nanoscale, 10, 19154-19161(2018).
[109] G Li, P Shi. Weak measurement of the optical polarization, chirality and orbital angular momentum via metasurface with polarization filtering. J Phys Commun, 4, 095003(2020).
[110] Y H Guo, S C Zhang, M B Pu et al. Spin-decoupled metasurface for simultaneous detection of spin and orbital angular momenta via momentum transformation. Light Sci Appl, 10, 63(2021).
[111] S Roy, K Ushakova, den Berg Q van et al. Radially polarized light for detection and nanolocalization of dielectric particles on a planar substrate. Phys Rev Lett, 114, 103903(2015).
[112] M Neugebauer, P Woźniak, A Bag et al. Polarization-controlled directional scattering for nanoscopic position sensing. Nat Commun, 7, 11286(2016).
[113] A Bag, M Neugebauer, P Woźniak et al. Transverse kerker scattering for angstrom localization of nanoparticles. Phys Rev Lett, 121, 193902(2018).
[114] W Y Shang, F J Xiao, W R Zhu et al. Unidirectional scattering exploited transverse displacement sensor with tunable measuring range. Opt Express, 27, 4944-4955(2019).
[115] H C Liu, B Yang, Q H Guo et al. Single-pixel computational ghost imaging with helicity-dependent metasurface hologram. Sci Adv, 3, e1701477(2017).
[116] X Li, R Z Zhao, Q S Wei et al. Code division multiplexing inspired dynamic metasurface holography. Adv Funct Mater, 31, 2103326(2021).
[117] P Georgi, Q S Wei, B Sain et al. Optical secret sharing with cascaded metasurface holography. Sci Adv, 7, eabf9718(2021).
[118] J X Zhang, P X Li, R C C Cheung et al. Generation of time-varying orbital angular momentum beams with space-time-coding digital metasurface. Adv Photonics, 5, 036001(2023).
[119] A M Shaltout, V M Shalaev, M L Brongersma. Spatiotemporal light control with active metasurfaces. Science, 364, eaat3100(2019).
[120] M Z Liu, P C Huo, W Q Zhu et al. Broadband generation of perfect Poincaré beams via dielectric spin-multiplexed metasurface. Nat Commun, 12, 2230(2021).
[121] S Wang, Z L Deng, Y J Wang et al. Arbitrary polarization conversion dichroism metasurfaces for all-in-one full Poincaré sphere polarizers. Light Sci Appl, 10, 24(2021).
[122] Q W Zhou, M Z Liu, W Q Zhu et al. Generation of perfect vortex beams by dielectric geometric metasurface for visible light. Laser Photonics Rev, 15, 2100390(2021).
[123] X Y Fang, H R Ren, M Gu. Orbital angular momentum holography for high-security encryption. Nat Photonics, 14, 102-108(2020).
[124] F Zhang, Y H Guo, M B Pu et al. Meta-optics empowered vector visual cryptography for high security and rapid decryption. Nat Commun, 14, 1946(2023).
[125] X Y Guo, P Li, J Z Zhong et al. Stokes meta-hologram toward optical cryptography. Nat Commun, 13, 6687(2022).
[126] P Lochab, P Senthilkumaran, K Khare. Designer vector beams maintaining a robust intensity profile on propagation through turbulence. Phys Rev A, 98, 023831(2018).
[127] D Y Wang, F F Liu, T Liu et al. Efficient generation of complex vectorial optical fields with metasurfaces. Light Sci Appl, 10, 67(2021).