[1] C.-C. Lee. The Current Trends of Optics and Photonics(2015).

[2] J. M. Otón, E. Otón, X. Quintana, M. A. Geday. Liquid-crystal phase-only devices. J. Mol. Liq., 267, 469(2018).

[3] A. Rubano, F. Cardano, B. Piccirillo, L. Marrucci. Q-plate technology: a progress review [Invited]. J. Opt. Soc. Am. B, 36, D70(2019).

[4] A. Márquez, Á. Lizana. Special issue on liquid crystal on silicon devices: modeling and advanced spatial light modulation applications. Appl. Sci., 9, 3049(2019).

[5] G. Lazarev, P.-J. Chen, J. Strauss, N. Fontaine, A. Forbes. Beyond the display: phase-only liquid crystal on silicon devices and their applications in photonics [Invited]. Opt. Express, 27, 16206(2019).

[6] P. Chen, B. Wei, W. Hu, Y. Lu. Liquid-crystal-mediated geometric phase: from transmissive to broadband reflective planar optics. Adv. Mater., 32, 1903665(2020).

[7] J. Chen, C. Wan, Q. Zhan. Vectorial optical fields: recent advances and future prospects. Sci. Bull., 63, 54(2018).

[8] C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, M. Ritsch-Marte. Tailoring of arbitrary optical vector beams. New J. Phys., 9, 78(2007).

[9] A. Forbes. Structured light from lasers. Laser Photon. Rev., 13, 1900140(2019).

[10] X. Wang, Z. Nie, Y. Liang, J. Wang, T. Li, B. Jia. Recent advances on optical vortex generation. Nanophotonics, 7, 1533(2018).

[11] Z. Yang, O. S. Magaña-Loaiza, M. Mirhosseini, Y. Zhou, B. Gao, L. Gao, S. M. H. Rafsanjani, G.-L. Long, R. W. Boyd. Digital spiral object identification using random light. Light Sci. Appl., 6, e17013(2017).

[12] X. Qiu, F. Li, W. Zhang, Z. Zhu, L. Chen. Spiral phase contrast imaging in nonlinear optics: seeing phase objects using invisible illumination. Optica, 5, 208(2018).

[13] X. Qiu, D. Zhang, W. Zhang, L. Chen. Structured-pump-enabled quantum pattern recognition. Phys. Rev. Lett., 122, 123901(2019).

[14] R. Fickler, G. Campbell, B. Buchler, P. K. Lam, A. Zeilinger. Quantum entanglement of angular momentum states with quantum numbers up to 10,010. Proc. Natl. Acad. Sci. USA, 113, 13642(2016).

[15] J. Wang. Twisted optical communications using orbital angular momentum. Sci. Chin. Phys. Mech. Astron., 62, 34201(2019).

[16] M. Erhard, R. Fickler, M. Krenn, A. Zeilinger. Twisted photons: new quantum perspectives in high dimensions. Light Sci. Appl., 7, 17146(2018).

[17] X. Fang, H. Ren, M. Gu. Orbital angular momentum holography for high-security encryption. Nat. Photon., 10, 2986(2019).

[18] T. D. Huang, T. H. Lu. Controlling an optical vortex array from a vortex phase plate, mode converter, and spatial light modulator. Opt. Lett., 44, 3917(2019).

[19] A. Komar, Z. Fang, J. Bohn, J. Sautter, M. Decker, A. Miroshnichenko, T. Pertsch, I. Brener, Y. S. Kivshar, I. Staude, D. N. Neshev. Electrically tunable all-dielectric optical metasurfaces based on liquid crystals. Appl. Phys. Lett., 110, 071109(2017).

[20] D. Wang, F. Liu, T. Liu, S. Sun, Q. He, L. Zhou. Efficient generation of complex vectorial optical fields with metasurfaces. Light Sci. Appl., 10, 67(2021).

[21] Y. Chen, K.-Y. Xia, W.-G. Shen, J. Gao, Z.-Q. Yan, Z.-Q. Jiao, J.-P. Dou, H. Tang, Y.-Q. Lu, X.-M. Jin. Vector vortex beam emitter embedded in a photonic chip. Phys. Rev. Lett., 124, 153601(2020).

[22] X. Yi, Y. Liu, X. Ling, X. Zhou, Y. Ke, H. Luo, S. Wen, D. Fan. Hybrid-order Poincaré sphere. Phys. Rev. A, 91, 023801(2015).

[23] G. Milione, S. Evans, D. A. Nolan, R. R. Alfano. Higher order Pancharatnam–Berry phase and the angular momentum of light. Phys. Rev. Lett., 108, 190401(2012).

[24] G. Milione, H. I. Sztul, D. A. Nolan, R. R. Alfano. Higher-order Poincaré sphere, Stokes parameters, and the angular momentum of light. Phys. Rev. Lett., 107, 053601(2011).

[25] B. Ndagano, R. Brüning, M. McLaren, M. Duparré, A. Forbes. Fiber propagation of vector modes. Opt. Express, 23, 17330(2015).

[26] W. Qiao, T. Lei, Z. Wu, S. Gao, Z. Li, X. Yuan. Approach to multiplexing fiber communication with cylindrical vector beams. Opt. Lett., 42, 2579(2017).

[27] G. Milione, M. P. J. Lavery, H. Huang, Y. Ren, G. Xie, T. A. Nguyen, E. Karimi, L. Marrucci, D. A. Nolan, R. R. Alfano, A. E. Willner. 4 × 20 Gbit/s mode division multiplexing over free space using vector modes and a q-plate mode (de)multiplexer. Opt. Lett., 40, 1980(2015).

[28] M. McLaren, T. Konrad, A. Forbes. Measuring the nonseparability of vector vortex beams. Phys. Rev. A, 92, 023833(2015).

[29] B. Ndagano, I. Nape, M. A. Cox, C. Rosales-Guzman, A. Forbes. Creation and detection of vector vortex modes for classical and quantum communication. J. Lightwave Technol., 36, 292(2018).

[30] C. Rosales-Guzmán, B. Ndagano, A. Forbes. A review of complex vector light fields and their applications. J. Opt., 20, 123001(2018).

[31] P. Yue, D. Jianping, W. Huitian. Manipulation on novel vector optical fields: introduction, advances and applications. Acta Opt. Sin., 39, 0126001(2019).

[32] W. Ji, C.-H. Lee, P. Chen, W. Hu, Y. Ming, L. Zhang, T.-H. Lin, V. Chigrinov, Y.-Q. Lu. Meta-q-plate for complex beam shaping. Sci. Rep., 6, 25528(2016).

[33] L. Marrucci, C. Manzo, D. Paparo. Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. Phys. Rev. Lett., 96, 163905(2006).

[34] L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, F. Sciarrino. Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications. J. Opt., 13, 064001(2011).

[35] E. Cohen, H. Larocque, F. Bouchard, F. Nejadsattari, Y. Gefen, E. Karimi. Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond. Nat. Rev. Phys., 1, 437(2019).

[36] L. Marrucci, E. Nagali, F. Sciarrino, L. Sansoni, F. De Martini, B. Piccirillo, E. Karimi, E. Santamato. Photonic quantum information applications of patterned liquid crystals. Mol. Cryst. Liq. Cryst., 526, 108(2010).

[37] M. M. Sánchez-López, I. Abella, D. Puerto-García, J. A. Davis, I. Moreno. Spectral performance of a zero-order liquid-crystal polymer commercial q-plate for the generation of vector beams at different wavelengths. Opt. Laser Technol., 106, 168(2018).

[38] S. Delaney, M. M. Sánchez-López, I. Moreno, J. A. Davis. Arithmetic with q-plates. Appl. Opt., 56, 596(2017).

[39] S. Slussarenko, A. Murauski, T. Du, V. Chigrinov, L. Marrucci, E. Santamato. Tunable liquid crystal q-plates with arbitrary topological charge. Opt. Express, 19, 4085(2011).

[40] W. Ji, B.-Y. Wei, P. Chen, W. Hu, Y.-Q. Lu. Optical field control via liquid crystal photoalignment. Mol. Cryst. Liq. Cryst., 644, 3(2017).

[41] S. Ge, P. Chen, Z. Shen, W. Sun, X. Wang, W. Hu, Y. Zhang, Y. Lu. Terahertz vortex beam generator based on a photopatterned large birefringence liquid crystal. Opt. Express, 25, 12349(2017).

[42] B.-Y. Wei, S. Liu, P. Chen, S.-X. Qi, Y. Zhang, W. Hu, Y.-Q. Lu, J.-L. Zhao. Vortex Airy beams directly generated via liquid crystal q-Airy-plates. Appl. Phys. Lett., 112, 121101(2018).

[43] Z. Ji, X. Zhang, Y. Zhang, Z. Wang, I. Drevensek-Olenik, R. Rupp, W. Li, Q. Wu, J. Xu. Electrically tunable generation of vectorial vortex beams with micro-patterned liquid crystal structures. Chin. Opt. Lett., 15, 070501(2017).

[44] P. Chen, W. Ji, B.-Y. Wei, W. Hu, V. Chigrinov, Y.-Q. Lu. Generation of arbitrary vector beams with liquid crystal polarization converters and vector-photoaligned q-plates. Appl. Phys. Lett., 107, 241102(2015).

[45] I. Gianani, A. Suprano, T. Giordani, N. Spagnolo, F. Sciarrino, D. Gorpas, V. Ntziachristos, K. Pinker, N. Biton, J. Kupferman, S. Arnon. Transmission of vector vortex beams in dispersive media. Adv. Photon., 2, 036003(2020).

[46] Z. Liu, Y. Liu, Y. Ke, Y. Liu, W. Shu, H. Luo, S. Wen. Generation of arbitrary vector vortex beams on hybrid-order Poincaré sphere. Photon. Res., 5, 15(2017).

[47] D. Naidoo, F. S. Roux, A. Dudley, I. Litvin, B. Piccirillo, L. Marrucci, A. Forbes. Controlled generation of higher-order Poincaré sphere beams from a laser. Nat. Photon., 10, 327(2016).

[48] P. Chen, S.-J. Ge, W. Duan, B.-Y. Wei, G.-X. Cui, W. Hu, Y.-Q. Lu. Digitalized geometric phases for parallel optical spin and orbital angular momentum encoding. ACS Photon., 4, 1333(2017).

[49] P. Chen, S. Ge, L. Ma, W. Hu, V. Chigrinov, Y. Lu. Generation of equal-energy orbital angular momentum beams via photopatterned liquid crystals. Phys. Rev. Appl., 5, 044009(2016).

[50] Y.-H. Zhang, P. Chen, S.-J. Ge, T. Wei, J. Tang, W. Hu, Y.-Q. Lu. Spin-controlled massive channels of hybrid-order Poincaré sphere beams. Appl. Phys. Lett., 117, 081101(2020).

[51] Y. Liu, P. Chen, R. Yuan, C.-Q. Ma, Q. Guo, W. Duan, V. G. Chigrinov, W. Hu, Y.-Q. Lu. Ferroelectric liquid crystal mediated fast switchable orbital angular momentum of light. Opt. Express, 27, 36903(2019).

[52] M. Rafayelyan, G. Agez, E. Brasselet. Ultrabroadband gradient-pitch Bragg–Berry mirrors. Phys. Rev. A, 96, 043862(2017).

[53] J. Kobashi, H. Yoshida, M. Ozaki. Polychromatic optical vortex generation from patterned cholesteric liquid crystals. Phys. Rev. Lett., 116, 253903(2016).

[54] J. Kobashi, H. Yoshida, M. Ozaki. Planar optics with patterned chiral liquid crystals. Nat. Photon., 10, 389(2016).

[55] M. Rafayelyan, G. Tkachenko, E. Brasselet. Reflective spin-orbit geometric phase from chiral anisotropic optical media. Phys. Rev. Lett., 116, 253902(2016).

[56] R. Barboza, U. Bortolozzo, M. G. Clerc, S. Residori. Berry phase of light under Bragg reflection by chiral liquid-crystal media. Phys. Rev. Lett., 117, 053903(2016).

[57] C. Yuan, W. Huang, X. Wang, D. Shen, Z. Zheng. Electrically tunable helicity of cholesteric heliconical superstructure [Invited]. Chin. Opt. Lett., 18, 080005(2020).

[58] P. Chen, L.-L. Ma, W. Duan, J. Chen, S.-J. Ge, Z.-H. Zhu, M.-J. Tang, R. Xu, W. Gao, T. Li, W. Hu, Y.-Q. Lu. Digitalizing self-assembled chiral superstructures for optical vortex processing. Adv. Mater., 30, 1705865(2018).

[59] C.-T. Xu, P. Chen, Y.-H. Zhang, X.-Y. Fan, Y.-Q. Lu, W. Hu. Tunable band-pass optical vortex processor enabled by wash-out-refill chiral superstructures. Appl. Phys. Lett., 118, 151102(2021).

[60] P. Chen, L.-L. Ma, W. Hu, Z.-X. Shen, H. K. Bisoyi, S.-B. Wu, S.-J. Ge, Q. Li, Y.-Q. Lu. Chirality invertible superstructure mediated active planar optics. Nat. Commun., 10, 2518(2019).

[61] M. Rafayelyan, E. Brasselet. Bragg–Berry mirrors: reflective broadband q-plates. Opt. Lett., 41, 3972(2016).

[62] M. Rafayelyan, E. Brasselet. Spin-to-orbital angular momentum mapping of polychromatic light. Phys. Rev. Lett., 120, 213903(2018).

[63] T. Lin, Y. Yuan, Y. Zhou, W. Fu, H. Huang, L. Yao, F. Fan, S. Wen. Bragg reflective polychromatic vector beam generation from opposite-handed cholesteric liquid crystals. Opt. Lett., 44, 2720(2019).

[64] R. Barboza, U. Bortolozzo, M. G. Clerc, S. Residori, E. Vidal-Henriquez. Optical vortex induction via light–matter interaction in liquid-crystal media. Adv. Opt. Photon., 7, 635(2015).

[65] E. Brasselet. Tunable optical vortex arrays from a single nematic topological defect. Phys. Rev. Lett., 108, 087801(2012).

[66] P. Salamon, N. Éber, Y. Sasaki, H. Orihara, Á. Buka, F. Araoka. Tunable optical vortices generated by self-assembled defect structures in nematics. Phys. Rev. Appl., 10, 044008(2018).

[67] L. K. Migara, H. Lee, C.-M. Lee, K. Kwak, D. Lee, J.-K. Song. External pressure induced liquid crystal defects for optical vortex generation. AIP Adv., 8, 065219(2018).

[68] E. Brasselet, N. Murazawa, H. Misawa, S. Juodkazis. Optical vortices from liquid crystal droplets. Phys. Rev. Lett., 103, 103903(2009).

[69] E. Brasselet, C. Loussert. Electrically controlled topological defects in liquid crystals as tunable spin-orbit encoders for photons. Opt. Lett., 36, 719(2011).

[70] B. Son, S. Kim, Y. H. Kim, K. Käläntär, H.-M. Kim, H.-S. Jeong, S. Q. Choi, J. Shin, H.-T. Jung, Y.-H. Lee. Optical vortex arrays from smectic liquid crystals. Opt. Express, 22, 4699(2014).

[71] N. Kravets, E. Brasselet. Taming the swirl of self-structured liquid crystal q-plates. J. Opt., 22, 34001(2020).

[72] E. Brasselet. Tunable high-resolution macroscopic self-engineered geometric phase optical elements. Phys. Rev. Lett., 121, 033901(2018).

[73] N. Kravets, E. Brasselet. Nonlinear unitary transformations of space-variant polarized light fields from self-induced geometric-phase optical elements. Phys. Rev. A, 97, 013834(2018).

[74] D. Lee, H. Lee, L. K. Migara, K. Kwak, V. P. Panov, J. Song. Widely tunable optical vortex array generator based on grid patterned liquid crystal cell. Adv. Opt. Mater., 9, 2001604(2021).

[75] Y. Sasaki, V. S. R. Jampani, C. Tanaka, N. Sakurai, S. Sakane, K. V. Le, F. Araoka, H. Orihara. Large-scale self-organization of reconfigurable topological defect networks in nematic liquid crystals. Nat. Commun., 7, 13238(2016).

[76] R. Amano, P. Salamon, S. Yokokawa, F. Kobayashi, Y. Sasaki, S. Fujii, Á. Buka, F. Araoka, H. Orihara. Tunable two-dimensional polarization grating using a self-organized micropixelated liquid crystal structure. RSC Adv., 8, 41472(2018).

[77] A. Forbes, A. Dudley, M. McLaren. Creation and detection of optical modes with spatial light modulators. Adv. Opt. Photon., 8, 200(2016).

[78] X.-L. Wang, J. Ding, W.-J. Ni, C.-S. Guo, H.-T. Wang. Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement. Opt. Lett., 32, 3549(2007).

[79] P. García-Martínez, D. Marco, J. L. Martínez-Fuentes, M. del Mar Sánchez-López, I. Moreno. Efficient on-axis SLM engineering of optical vector modes. Opt. Lasers Eng., 125, 105859(2020).

[80] S. Liu, S. Qi, Y. Zhang, P. Li, D. Wu, L. Han, J. Zhao. Highly efficient generation of arbitrary vector beams with tunable polarization, phase, and amplitude. Photon. Res., 6, 228(2018).

[81] Y. Gao, Z. Chen, J. Ding, H.-T. Wang. Single ultra-high-definition spatial light modulator enabling highly efficient generation of fully structured vector beams. Appl. Opt., 58, 6591(2019).

[82] C. Rosales-Guzmán, N. Bhebhe, A. Forbes. Simultaneous generation of multiple vector beams on a single SLM. Opt. Express, 25, 25697(2017).

[83] P. Li, Y. Zhang, S. Liu, C. Ma, L. Han, H. Cheng, J. Zhao. Generation of perfect vectorial vortex beams. Opt. Lett., 41, 2205(2016).

[84] I. Moreno, M. M. Sanchez-Lopez, K. Badham, J. A. Davis, D. M. Cottrell. Generation of integer and fractional vector beams with q-plates encoded onto a spatial light modulator. Opt. Lett., 41, 1305(2016).

[85] A. Lohrmann, C. Perumgatt, A. Ling. Manipulation and measurement of quantum states with liquid crystal devices. Opt. Express, 27, 13765(2019).

[86] E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, E. Santamato. Quantum information transfer from spin to orbital angular momentum of photons. Phys. Rev. Lett., 103, 013601(2009).

[87] A. Forbes, A. Aiello, B. Ndagano. Classically entangled light. Prog. Opt., 64, 99(2019).

[88] N. Korolkova, G. Leuchs. Quantum correlations in separable multi-mode states and in classically entangled light. Reports Prog. Phys., 82, 056001(2019).

[89] J. H. Eberly, X. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, A. N. Vamivakas. Quantum and classical optics–emerging links. Phys. Scr., 91, 063003(2016).

[90] E. Karimi, R. W. Boyd. Classical entanglement?. Science, 350, 1172(2015).

[91] T. Stav, A. Faerman, E. Maguid, D. Oren, V. Kleiner, E. Hasman, M. Segev. Quantum entanglement of the spin and orbital angular momentum of photons using metamaterials. Science, 361, 1101(2018).

[92] Y. Shen, I. Nape, X. Yang, X. Fu, M. Gong, D. Naidoo, A. Forbes. Creation and control of high-dimensional multi-partite classically entangled light. Light Sci. Appl., 10, 50(2021).

[93] B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, A. Forbes. Characterizing quantum channels with non-separable states of classical light. Nat. Phys., 13, 397(2017).

[94] V. Parigi, V. D’Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, J. Laurat. Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory. Nat. Commun., 6, 7706(2015).

[95] X. Li, X. Liu, Z.-Q. Zhou, C.-F. Li, G.-C. Guo. Solid-state quantum memory for hybrid entanglement involving three degrees of freedom. Phys. Rev. A, 101, 052330(2020).

[96] V. D’Ambrosio, G. Carvacho, F. Graffitti, C. Vitelli, B. Piccirillo, L. Marrucci, F. Sciarrino. Entangled vector vortex beams. Phys. Rev. A, 94, 030304(2016).

[97] A. Sit, F. Bouchard, R. Fickler, J. Gagnon-Bischoff, H. Larocque, K. Heshami, D. Elser, C. Peuntinger, K. Günthner, B. Heim, C. Marquardt, G. Leuchs, R. W. Boyd, E. Karimi. High-dimensional intracity quantum cryptography with structured photons. Optica, 4, 1006(2017).

[98] F. Graffitti, V. D’Ambrosio, M. Proietti, J. Ho, B. Piccirillo, C. de Lisio, L. Marrucci, A. Fedrizzi. Hyperentanglement in structured quantum light. Phys. Rev. Res., 2, 043350(2020).

[99] C. Rosales-Guzmán, N. Bhebhe, N. Mahonisi, A. Forbes. Multiplexing 200 spatial modes with a single hologram. J. Opt., 19, 113501(2017).

[100] E. Otte, K. Tekce, C. Denz. Spatial multiplexing for tailored fully-structured light. J. Opt., 20, 105606(2018).

[101] A. Trichili, C. Rosales-Guzmán, A. Dudley, B. Ndagano, A. Ben Salem, M. Zghal, A. Forbes. Optical communication beyond orbital angular momentum. Sci. Rep., 6, 27674(2016).

[102] E. Otte, C. Rosales-Guzmán, B. Ndagano, C. Denz, A. Forbes. Entanglement beating in free space through spin-orbit coupling. Light Sci. Appl., 7, 18009(2018).

[103] F. Cardano, M. Maffei, F. Massa, B. Piccirillo, C. de Lisio, G. De Filippis, V. Cataudella, E. Santamato, L. Marrucci. Statistical moments of quantum-walk dynamics reveal topological quantum transitions. Nat. Commun., 7, 11439(2016).

[104] A. D’Errico, F. Cardano, M. Maffei, A. Dauphin, R. Barboza, C. Esposito, B. Piccirillo, M. Lewenstein, P. Massignan, L. Marrucci. Two-dimensional topological quantum walks in the momentum space of structured light. Optica, 7, 108(2020).

[105] D. Cozzolino, B. Da Lio, D. Bacco, L. K. Oxenløwe. High-dimensional quantum communication: benefits, progress, and future challenges. Adv. Quantum Technol., 2, 1900038(2019).

[106] A. Gratsea, F. Metz, T. Busch. Universal and optimal coin sequences for high entanglement generation in 1D discrete time quantum walks. J. Phys. A, 53, 445306(2020).

[107] T. Giordani, E. Polino, S. Emiliani, A. Suprano, L. Innocenti, H. Majury, L. Marrucci, M. Paternostro, A. Ferraro, N. Spagnolo, F. Sciarrino. Experimental engineering of arbitrary qudit states with discrete-time quantum walks. Phys. Rev. Lett., 122, 020503(2019).

[108] T. Giordani, L. Innocenti, A. Suprano, E. Polino, M. Paternostro, N. Spagnolo, F. Sciarrino, A. Ferraro. Entanglement transfer, accumulation and retrieval via quantum-walk-based qubit–qudit dynamics. New J. Phys., 23, 023012(2021).

[109] T. Giordani, A. Suprano, E. Polino, F. Acanfora, L. Innocenti, A. Ferraro, M. Paternostro, N. Spagnolo, F. Sciarrino. Machine learning-based classification of vector vortex beams. Phys. Rev. Lett., 124, 160401(2020).

[110] F. Bouchard, A. Sit, Y. Zhang, R. Fickler, F. M. Miatto, Y. Yao, F. Sciarrino, E. Karimi. Two-photon interference: the Hong–Ou–Mandel effect. Rep. Prog. Phys., 84, 012402(2021).

[111] E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, E. Santamato. Optimal quantum cloning of orbital angular momentum photon qubits through Hong–Ou–Mandel coalescence. Nat. Photon., 3, 720(2009).

[112] V. D’Ambrosio, G. Carvacho, I. Agresti, L. Marrucci, F. Sciarrino. Tunable two-photon quantum interference of structured light. Phys. Rev. Lett., 122, 013601(2019).

[113] M. Hiekkamäki, R. Fickler. High-dimensional two-photon interference effects in spatial modes. Phys. Rev. Lett., 126, 123601(2021).

[114] S. G. Lukishova, A. C. Liapis, L. J. Bissell, G. M. Gehring, R. W. Boyd. Single-photon experiments with liquid crystals for quantum science and quantum engineering applications. Liq. Cryst. Rev., 2, 111(2014).

[115] S. G. Lukishova, A. C. Liapis, H. Zhu, E. Hebert, K. Kuyk, S. Choudhary, R. W. Boyd, Z. Wang, L. J. Bissell. Plasmonic nanoantennas with liquid crystals for nanocrystal fluorescence enhancement and polarization selectivity of classical and quantum light sources. Mol. Cryst. Liq. Cryst., 657, 173(2017).

[116] W. Fu, Y. Zhou, Y. Yuan, T. Lin, Y. Zhou, T. Zeng, H. Huang, F. Fan, S. Wen. Symmetric Airy vortex and symmetric Airy vector beams. Liq. Cryst., 48, 484(2021).

[117] T. Bauer, P. Banzer, E. Karimi, S. Orlov, A. Rubano, L. Marrucci, E. Santamato, R. W. Boyd, G. Leuchs. Observation of optical polarization Möbius strips. Science, 347, 964(2015).

[118] Y. Intaravanne, X. Chen. Recent advances in optical metasurfaces for polarization detection and engineered polarization profiles. Nanophotonics, 9, 1003(2020).

[119] Y. Hu, X. Ou, T. Zeng, J. Lai, J. Zhang, X. Li, X. Luo, L. Li, F. Fan, H. Duan. Electrically tunable multifunctional polarization-dependent metasurfaces integrated with liquid crystals in the visible region. Nano Lett., 21, 4554(2021).

[120] T. Wei, P. Chen, M. Tang, G. Wu, Z. Chen, Z. Shen, S. Ge, F. Xu, W. Hu, Y. Lu. Liquid-crystal-mediated active waveguides toward programmable integrated optics. Adv. Opt. Mater., 8, 1902033(2020).

[121] Y. Liu, W. Chen, J. Tang, X. Xu, P. Chen, C.-Q. Ma, W. Zhang, B.-Y. Wei, Y. Ming, G.-X. Cui, Y. Zhang, W. Hu, Y.-Q. Lu. Switchable second-harmonic generation of Airy beam and Airy vortex beam. Adv. Opt. Mater., 9, 2001776(2021).