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Generation of arbitrary vector vortex beams on hybrid-order Poincaré sphere based on liquid crystal device

References. View by:. Article Order. Year. Author. Publication. Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photonics 1(1), 1–57 (2009). [Crossref] . L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992). [Crossref] [PubMed] . J. C. Idrobo and S. J. Pennycook, “Vortex beams for atomic resolution dichroism,” J. Electron Microsc. (Tokyo) 60(5), 295–300 (2011). [Crossref] [PubMed] . J. Ng, Z. Lin, and C. T. Chan, “Theory of Optical Trapping by an Optical Vortex Beam,” Phys. Rev. Lett. 104(10), 103601 (2010). [Crossref] [PubMed] . B. Y. Wei, P. Chen, S. J. Ge, W. Duan, W. Hu, and Y. Q. Lu, “Generation of self-healing and transverse accelerating optical vortices,” Appl. Phys. Lett. 109(12), 121105 (2016). [Crossref] . M. J. Tang, P. Chen, W. L. Zhang, A. M. W. Tam, V. G. Chigrinov, W. Hu, and Y. Q. Lu, “Integrated and reconfigurable optical paths based on stacking optical functional films,” Opt. Express 24(22), 25510–25514 (2016). [Crossref] [PubMed] . D. Naidoo, F. S. Roux, A. Dudley, I. Litvin, B. Piccirillo, L. Marrucci, and A. Forbes, “Controlled generation of higher-order Poincaré sphere beams from a laser,” Nat. Photonics 10(5), 327–332 (2016). [Crossref] . G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, “Higher-order Poincaré Sphere, Stokes Parameters, and the Angular Momentum of Light,” Phys. Rev. Lett. 107(5), 053601 (2011). [Crossref] [PubMed] . P. Chen, S.-J. Ge, W. Duan, B.-Y. Wei, G.-X. Cui, W. Hu, and Y.-Q. Lu, “Digitalized geometric phases for parallel optical spin and orbital angular momentum encoding,” ACS Photonics 4(6), 1333–1338 (2017). [Crossref] . R. Xu, P. Chen, J. Tang, W. Duan, S. J. Ge, L. L. Ma, R. Wu, W. Hu, and Y. Q. Lu, “Perfect higher-order poincaré sphere beams from digitalized geometric phases,” Phys. Rev. Appl. 10(3), 034061 (2018). [Crossref] . G. Milione, S. Evans, D. A. Nolan, and R. R. Alfano, “Higher order Pancharatnam-Berry phase and the angular momentum of light,” Phys. Rev. Lett. 108(19), 190401 (2012). [Crossref] [PubMed] . X. Yi, Y. Liu, X. Ling, X. Zhou, Y. Ke, H. Luo, S. Wen, and D. Fan, “Hybrid-order Poincaré sphere,” Phys. Rev. A 91(2), 023801 (2015). [Crossref] . R. Wang, S. He, S. Chen, J. Zhang, W. Shu, H. Luo, and S. Wen, “Electrically driven generation of arbitrary vector vortex beams on the hybrid-order Poincaré sphere,” Opt. Lett. 43(15), 3570–3573 (2018). [Crossref] [PubMed] . G. Milione, T. A. Nguyen, J. Leach, D. A. Nolan, and R. R. Alfano, “Using the nonseparability of vector beams to encode information for optical communication,” Opt. Lett. 40(21), 4887–4890 (2015). [Crossref] [PubMed] . 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, and 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(9), 1980–1983 (2015). [Crossref] [PubMed] . E. J. Galvez, S. Khadka, W. H. Schubert, and S. Nomoto, “Poincaré-beam patterns produced by nonseparable superpositions of Laguerre-Gauss and polarization modes of light,” Appl. Opt. 51(15), 2925–2934 (2012). [Crossref] [PubMed] . N. K. Viswanathan and V. V. G. K. Inavalli, “Generation of optical vector beams using a two-mode fiber,” Opt. Lett. 34(8), 1189–1191 (2009). [Crossref] [PubMed] . Z. Yang, D. F. Kuang, and F. Cheng, “Vector vortex beam generation with dolphin-shaped cell meta-surface,” Opt. Express 25(19), 22780–22788 (2017). [Crossref] [PubMed] . F. Yue, D. Wen, J. Xin, B. D. Gerardot, J. Li, and X. Chen, “Vector vortex beam generation with a single plasmonic metasurface,” ACS Photonics 3(9), 1558–1563 (2016). [Crossref] . F. Cheng, D. F. Kuang, L. Q. Dong, Y. Y. Cao, and P. C. Gu, “Tuning of nanofocused vector vortex beam of metallic granary-shaped nanotip with spin-dependent dielectric helical cone,” Opt. Express 25(15), 17393–17401 (2017). [Crossref] [PubMed] . H. Chen, J. Hao, B. F. Zhang, J. Xu, J. Ding, and H. T. Wang, “Generation of vector beam with space-variant distribution of both polarization and phase,” Opt. Lett. 36(16), 3179–3181 (2011). [Crossref] [PubMed] . W. L. Chan, H. T. Chen, A. J. Taylor, I. Brener, M. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [Crossref] . L. Hu, L. Xuan, Y. Liu, Z. Cao, D. Li, and Q. Mu, “Phase-only liquid crystal spatial light modulator for wavefront correction with high precision,” Opt. Express 12(26), 6403–6409 (2004). [Crossref] [PubMed] . S. J. Ge, P. Chen, L. L. Ma, Z. Liu, Z. G. Zheng, D. Shen, W. Hu, and Y. Q. Lu, “Optical array generator based on blue phase liquid crystal dammann grating,” Opt. Mater. Express 6(4), 1087–1092 (2016). [Crossref] . P. Chen, S. J. Ge, L. L. Ma, W. Hu, V. Chigrinov, and Y. Q. Lu, “Generation of equal-energy orbital angular momentum beams via photopatterned liquid crystals,” Phys. Rev. Appl. 5(4), 044009 (2016). [Crossref] . W. Zhang, J. Tang, P. Chen, G. X. Cu, Y. Ming, W. Hu, and Y. Q. Lu, “Evolution of orbital angular momentum in a soft quasi-periodic structure with topological defects,” Adv. Mater. 30, 1705865 (2018). . Z. Liu, Y. Liu, Y. Ke, Y. Liu, W. Shu, H. Luo, and S. Wen, “Generation of arbitrary vector vortex beams on hybrid-order poincaré sphere,” Photon. Res. 5(1), 15–21 (2017). [Crossref] . A. Holleczek, A. Aiello, C. Gabriel, C. Marquardt, and G. Leuchs, “Classical and quantum properties of cylindrically polarized states of light,” Opt. Express 19(10), 9714–9736 (2011). [Crossref] [PubMed] . A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011). [Crossref] . H. Ma, H. Hu, W. Xie, and X. Xu, “Study on the generation of a vortex laser beam by using phase-only liquid crystal spatial light modulator,” Opt. Eng. 52(9), 091721 (2013). [Crossref] . A. S. Ostrovsky, C. Rickenstorff-Parrao, and V. Arrizón, “Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator,” Opt. Lett. 38(4), 534–536 (2013). [Crossref] [PubMed] . areH. Wu, W. Hu, H. Hu, X. Lin, G. Zhu, J.-W. Choi, V. Chigrinov, and Y. Lu, “Arbitrary photo-patterning in liquid crystal alignments using DMD based lithography systems,” Opt. Express 20(15), 16684–16689 (2012). [Crossref] . W. Duan, P. Chen, S. J. Ge, B. Y. Wei, W. Hu, and Y. Q. Lu, “Helicity-dependent forked vortex lens based on photo-patterned liquid crystals,” Opt. Express 25(13), 14059–14064 (2017). [Crossref] [PubMed] . Y. Zhang, N. Gao, and C. Xie, “Using circular Dammann gratings to produce impulse optic vortex rings,” Appl. Phys. Lett. 100(4), 041107 (2012). [Crossref] . H. Kim, J. Park, S. W. Cho, S. Y. Lee, M. Kang, and B. Lee, “Synthesis and dynamic switching of surface plasmon vortices with plasmonic vortex lens,” Nano Lett. 10(2), 529–536 (2010). [Crossref] [PubMed] . A. M. Tam, F. Fan, T. Du, W. Hu, W. L. Zhang, C. X. Zhao, X. Q. Wang, K. L. Ching, G. J. Li, H. L. Luo, V. Chigrinov, S. C. Wen, and H. S. Kwok, “Bifocal optical-vortex lens with sorting of the generated nonseparable spin-orbital angular-momentum states,” Phys. Rev. Appl. 7(3), 034010 (2017). [Crossref] . P. Chen, B. Wei, W. Ji, S. Ge, W. Hu, F. Xu, V. Chigrinov, and Y. Lu, “Arbitrary and reconfigurable optical vortex generation: a high-efficiency technique using director-varying liquid crystal fork gratings,” Photon. Res. 3(4), 133–139 (2015). [Crossref] . F. Fan, T. Du, A. K. Srivastava, W. Lu, V. Chigrinov, and H. S. Kwok, “Axially symmetric polarization converter made of patterned liquid crystal quarter wave plate,” Opt. Express 20(21), 23036–23043 (2012). [Crossref] [PubMed] . T. Lin, Y. Zhou, Y. Yuan, W. Fu, L. Yao, H. Huang, F. Fan, and S. Wen, “Transflective spin-orbital angular momentum conversion device by three-dimensional multilayer liquid crystalline materials,” Opt. Express 26(22), 29244–29252 (2018). [Crossref] [PubMed] . 2018 (4). R. Xu, P. Chen, J. Tang, W. Duan, S. J. Ge, L. L. Ma, R. Wu, W. Hu, and Y. Q. Lu, “Perfect higher-order poincaré sphere beams from digitalized geometric phases,” Phys. Rev. Appl. 10(3), 034061 (2018). [Crossref] R. Wang, S. He, S. Chen, J. Zhang, W. Shu, H. Luo, and S. Wen, “Electrically driven generation of arbitrary vector vortex beams on the hybrid-order Poincaré sphere,” Opt. Lett. 43(15), 3570–3573 (2018). [Crossref] [PubMed] W. Zhang, J. Tang, P. Chen, G. X. Cu, Y. Ming, W. Hu, and Y. Q. Lu, “Evolution of orbital angular momentum in a soft quasi-periodic structure with topological defects,” Adv. Mater. 30, 1705865 (2018). T. Lin, Y. Zhou, Y. Yuan, W. Fu, L. Yao, H. Huang, F. Fan, and S. Wen, “Transflective spin-orbital angular momentum conversion device by three-dimensional multilayer liquid crystalline materials,” Opt. Express 26(22), 29244–29252 (2018). [Crossref] [PubMed] 2017 (6). A. M. Tam, F. Fan, T. Du, W. Hu, W. L. Zhang, C. X. Zhao, X. Q. Wang, K. L. Ching, G. J. Li, H. L. Luo, V. Chigrinov, S. C. Wen, and H. S. Kwok, “Bifocal optical-vortex lens with sorting of the generated nonseparable spin-orbital angular-momentum states,” Phys. Rev. Appl. 7(3), 034010 (2017). [Crossref] Z. Liu, Y. Liu, Y. Ke, Y. Liu, W. Shu, H. Luo, and S. Wen, “Generation of arbitrary vector vortex beams on hybrid-order poincaré sphere,” Photon. Res. 5(1), 15–21 (2017). [Crossref] W. Duan, P. Chen, S. J. Ge, B. Y. Wei, W. Hu, and Y. Q. Lu, “Helicity-dependent forked vortex lens based on photo-patterned liquid crystals,” Opt. Express 25(13), 14059–14064 (2017). [Crossref] [PubMed] F. Cheng, D. F. Kuang, L. Q. Dong, Y. Y. Cao, and P. C. Gu, “Tuning of nanofocused vector vortex beam of metallic granary-shaped nanotip with spin-dependent dielectric helical cone,” Opt. Express 25(15), 17393–17401 (2017). [Crossref] [PubMed] Z. Yang, D. F. Kuang, and F. Cheng, “Vector vortex beam generation with dolphin-shaped cell meta-surface,” Opt. Express 25(19), 22780–22788 (2017). [Crossref] [PubMed] P. Chen, S.-J. Ge, W. Duan, B.-Y. Wei, G.-X. Cui, W. Hu, and Y.-Q. Lu, “Digitalized geometric phases for parallel optical spin and orbital angular momentum encoding,” ACS Photonics 4(6), 1333–1338 (2017). [Crossref] 2016 (6). B. Y. Wei, P. Chen, S. J. Ge, W. Duan, W. Hu, and Y. Q. Lu, “Generation of self-healing and transverse accelerating optical vortices,” Appl. Phys. Lett. 109(12), 121105 (2016). [Crossref] M. J. Tang, P. Chen, W. L. Zhang, A. M. W. Tam, V. G. Chigrinov, W. Hu, and Y. Q. Lu, “Integrated and reconfigurable optical paths based on stacking optical functional films,” Opt. Express 24(22), 25510–25514 (2016). [Crossref] [PubMed] D. Naidoo, F. S. Roux, A. Dudley, I. Litvin, B. Piccirillo, L. Marrucci, and A. Forbes, “Controlled generation of higher-order Poincaré sphere beams from a laser,” Nat. Photonics 10(5), 327–332 (2016). [Crossref] F. Yue, D. Wen, J. Xin, B. D. Gerardot, J. Li, and X. Chen, “Vector vortex beam generation with a single plasmonic metasurface,” ACS Photonics 3(9), 1558–1563 (2016). [Crossref] S. J. Ge, P. Chen, L. L. Ma, Z. Liu, Z. G. Zheng, D. Shen, W. Hu, and Y. Q. Lu, “Optical array generator based on blue phase liquid crystal dammann grating,” Opt. Mater. Express 6(4), 1087–1092 (2016). [Crossref] P. Chen, S. J. Ge, L. L. Ma, W. Hu, V. Chigrinov, and Y. Q. Lu, “Generation of equal-energy orbital angular momentum beams via photopatterned liquid crystals,” Phys. Rev. Appl. 5(4), 044009 (2016). [Crossref] 2015 (4). X. Yi, Y. Liu, X. Ling, X. Zhou, Y. Ke, H. Luo, S. Wen, and D. Fan, “Hybrid-order Poincaré sphere,” Phys. Rev. A 91(2), 023801 (2015). [Crossref] G. Milione, T. A. Nguyen, J. Leach, D. A. Nolan, and R. R. Alfano, “Using the nonseparability of vector beams to encode information for optical communication,” Opt. Lett. 40(21), 4887–4890 (2015). [Crossref] [PubMed] 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, and 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(9), 1980–1983 (2015). [Crossref] [PubMed] P. Chen, B. Wei, W. Ji, S. Ge, W. Hu, F. Xu, V. Chigrinov, and Y. Lu, “Arbitrary and reconfigurable optical vortex generation: a high-efficiency technique using director-varying liquid crystal fork gratings,” Photon. Res. 3(4), 133–139 (2015). [Crossref] 2013 (2). H. Ma, H. Hu, W. Xie, and X. Xu, “Study on the generation of a vortex laser beam by using phase-only liquid crystal spatial light modulator,” Opt. Eng. 52(9), 091721 (2013). [Crossref] A. S. Ostrovsky, C. Rickenstorff-Parrao, and V. Arrizón, “Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator,” Opt. Lett. 38(4), 534–536 (2013). [Crossref] [PubMed] 2012 (5). areH. Wu, W. Hu, H. Hu, X. Lin, G. Zhu, J.-W. Choi, V. Chigrinov, and Y. Lu, “Arbitrary photo-patterning in liquid crystal alignments using DMD based lithography systems,” Opt. Express 20(15), 16684–16689 (2012). [Crossref] Y. Zhang, N. Gao, and C. Xie, “Using circular Dammann gratings to produce impulse optic vortex rings,” Appl. Phys. Lett. 100(4), 041107 (2012). [Crossref] E. J. Galvez, S. Khadka, W. H. Schubert, and S. Nomoto, “Poincaré-beam patterns produced by nonseparable superpositions of Laguerre-Gauss and polarization modes of light,” Appl. Opt. 51(15), 2925–2934 (2012). [Crossref] [PubMed] G. Milione, S. Evans, D. A. Nolan, and R. R. Alfano, “Higher order Pancharatnam-Berry phase and the angular momentum of light,” Phys. Rev. Lett. 108(19), 190401 (2012). [Crossref] [PubMed] F. Fan, T. Du, A. K. Srivastava, W. Lu, V. Chigrinov, and H. S. Kwok, “Axially symmetric polarization converter made of patterned liquid crystal quarter wave plate,” Opt. Express 20(21), 23036–23043 (2012). [Crossref] [PubMed] 2011 (5). G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, “Higher-order Poincaré Sphere, Stokes Parameters, and the Angular Momentum of Light,” Phys. Rev. Lett. 107(5), 053601 (2011). [Crossref] [PubMed] J. C. Idrobo and S. J. Pennycook, “Vortex beams for atomic resolution dichroism,” J. Electron Microsc. (Tokyo) 60(5), 295–300 (2011). [Crossref] [PubMed] A. Holleczek, A. Aiello, C. Gabriel, C. Marquardt, and G. Leuchs, “Classical and quantum properties of cylindrically polarized states of light,” Opt. Express 19(10), 9714–9736 (2011). [Crossref] [PubMed] A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011). [Crossref] H. Chen, J. Hao, B. F. Zhang, J. Xu, J. Ding, and H. T. Wang, “Generation of vector beam with space-variant distribution of both polarization and phase,” Opt. Lett. 36(16), 3179–3181 (2011). [Crossref] [PubMed] 2010 (2). H. Kim, J. Park, S. W. Cho, S. Y. Lee, M. Kang, and B. Lee, “Synthesis and dynamic switching of surface plasmon vortices with plasmonic vortex lens,” Nano Lett. 10(2), 529–536 (2010). [Crossref] [PubMed] J. Ng, Z. Lin, and C. T. Chan, “Theory of Optical Trapping by an Optical Vortex Beam,” Phys. Rev. Lett. 104(10), 103601 (2010). [Crossref] [PubMed] 2009 (3). Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photonics 1(1), 1–57 (2009). [Crossref] N. K. Viswanathan and V. V. G. K. Inavalli, “Generation of optical vector beams using a two-mode fiber,” Opt. Lett. 34(8), 1189–1191 (2009). [Crossref] [PubMed] W. L. Chan, H. T. Chen, A. J. Taylor, I. Brener, M. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [Crossref] 2004 (1). L. Hu, L. Xuan, Y. Liu, Z. Cao, D. Li, and Q. Mu, “Phase-only liquid crystal spatial light modulator for wavefront correction with high precision,” Opt. Express 12(26), 6403–6409 (2004). [Crossref] [PubMed] 1992 (1). L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992). [Crossref] [PubMed] Aiello, A.. A. Holleczek, A. Aiello, C. Gabriel, C. Marquardt, and G. Leuchs, “Classical and quantum properties of cylindrically polarized states of light,” Opt. Express 19(10), 9714–9736 (2011). [Crossref] [PubMed] Alfano, R. R.. G. Milione, T. A. Nguyen, J. Leach, D. A. Nolan, and R. R. Alfano, “Using the nonseparability of vector beams to encode information for optical communication,” Opt. Lett. 40(21), 4887–4890 (2015). [Crossref] [PubMed] 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, and 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(9), 1980–1983 (2015). [Crossref] [PubMed] G. Milione, S. Evans, D. A. Nolan, and R. R. Alfano, “Higher order Pancharatnam-Berry phase and the angular momentum of light,” Phys. Rev. Lett. 108(19), 190401 (2012). [Crossref] [PubMed] G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, “Higher-order Poincaré Sphere, Stokes Parameters, and the Angular Momentum of Light,” Phys. Rev. Lett. 107(5), 053601 (2011). [Crossref] [PubMed] Allen, L.. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992). [Crossref] [PubMed] Arrizón, V.. A. S. Ostrovsky, C. Rickenstorff-Parrao, and V. Arrizón, “Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator,” Opt. Lett. 38(4), 534–536 (2013). [Crossref] [PubMed] Beijersbergen, M. W.. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992). [Crossref] [PubMed] Brener, I.. W. L. Chan, H. T. Chen, A. J. Taylor, I. Brener, M. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [Crossref] Cao, Y. Y.. F. Cheng, D. F. Kuang, L. Q. Dong, Y. Y. Cao, and P. C. Gu, “Tuning of nanofocused vector vortex beam of metallic granary-shaped nanotip with spin-dependent dielectric helical cone,” Opt. Express 25(15), 17393–17401 (2017). [Crossref] [PubMed] Cao, Z.. L. Hu, L. Xuan, Y. Liu, Z. Cao, D. Li, and Q. Mu, “Phase-only liquid crystal spatial light modulator for wavefront correction with high precision,” Opt. Express 12(26), 6403–6409 (2004). [Crossref] [PubMed] Chan, C. T.. J. Ng, Z. Lin, and C. T. Chan, “Theory of Optical Trapping by an Optical Vortex Beam,” Phys. Rev. Lett. 104(10), 103601 (2010). [Crossref] [PubMed] Chan, W. L.. W. L. Chan, H. T. Chen, A. J. Taylor, I. Brener, M. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [Crossref] Chen, H.. H. Chen, J. Hao, B. F. Zhang, J. Xu, J. Ding, and H. T. Wang, “Generation of vector beam with space-variant distribution of both polarization and phase,” Opt. Lett. 36(16), 3179–3181 (2011). [Crossref] [PubMed] Chen, H. T.. W. L. Chan, H. T. Chen, A. J. Taylor, I. Brener, M. Cich, and D. M. Mittleman, “A spatial light modulator for terahertz beams,” Appl. Phys. Lett. 94(21), 213511 (2009). [Crossref] Chen, P.. W. Zhang, J. Tang, P. Chen, G. X. Cu, Y. Ming, W. Hu, and Y. Q. Lu, “Evolution of orbital angular momentum in a soft quasi-periodic structure with topological defects,” Adv. Mater. 30, 1705865 (2018). R. Xu, P. Chen, J. Tang, W. Duan, S. J. Ge, L. L. Ma, R. Wu, W. Hu, and Y. Q. Lu, “Perfect higher-order poincaré sphere beams from digitalized geometric phases,” Phys. Rev. Appl. 10(3), 034061 (2018). [Crossref] P. Chen, S.-J. Ge, W. Duan, B.-Y. Wei, G.-X. Cui, W. Hu, and Y.-Q. Lu, “Digitalized geometric phases for parallel optical spin and orbital angular momentum encoding,” ACS Photonics 4(6), 1333–1338 (2017). [Crossref] W. Duan, P. Chen, S. J. Ge, B. Y. Wei, W. Hu, and Y. Q. Lu, “Helicity-dependent forked vortex lens based on photo-patterned liquid crystals,” Opt. Express 25(13), 14059–14064 (2017). [Crossref] [PubMed] M. J. Tang, P. Chen, W. L. Zhang, A. M. W. Tam, V. G. Chigrinov, W. Hu, and Y. Q. Lu, “Integrated and reconfigurable optical paths based on stacking optical functional films,” Opt. Express 24(22), 25510–25514 (2016). [Crossref] [PubMed] B. Y. Wei, P. Chen, S. J. Ge, W. Duan, W. Hu, and Y. Q. Lu, “Generation of self-healing and transverse accelerating optical vortices,” Appl. Phys. Lett. 109(12), 121105 (2016). [Crossref] P. Chen, S. J. Ge, L. L. Ma, W. Hu, V. Chigrinov, and Y. Q. Lu, “Generation of equal-energy orbital angular momentum beams via photopatterned liquid crystals,” Phys. Rev. Appl. 5(4), 044009 (2016). [Crossref] S. J. Ge, P. Chen, L. L. Ma, Z. Liu, Z. G. Zheng, D. Shen, W. Hu, and Y. Q. Lu, “Optical array generator based on blue phase liquid crystal dammann grating,” Opt. Mater. Express 6(4), 1087–1092 (2016). [Crossref] P. Chen, B. Wei, W. Ji, S. Ge, W. Hu, F. Xu, V. Chigrinov, and Y. Lu, “Arbitrary and reconfigurable optical vortex generation: a high-efficiency technique using director-varying liquid crystal fork gratings,” Photon. Res. 3(4), 133–139 (2015). [Crossref] Chen, S.. R. Wang, S. He, S. Chen, J. Zhang, W. Shu, H. Luo, and S. Wen, “Electrically driven generation of arbitrary vector vortex beams on the hybrid-order Poincaré sphere,” Opt. Lett. 43(15), 3570–3573 (2018). [Crossref] [PubMed] Chen, X.. F. Yue, D. Wen, J. Xin, B. D. Gerardot, J. Li, and X. Chen, “Vector vortex beam generation with a single plasmonic metasurface,” ACS Photonics 3(9), 1558–1563 (2016). [Crossref] Cheng, F.. F. Cheng, D. F. Kuang, L. Q. Dong, Y. Y. Cao, and P. C. Gu, “Tuning of nanofocused vector vortex beam of metallic granary-shaped nanotip with spin-dependent dielectric helical cone,” Opt. Express 25(15), 17393–17401 (2017). [Crossref] [PubMed] Z. Yang, D. F. Kuang, and F. Cheng, “Vector vortex beam generation with dolphin-shaped cell meta-surface,” Opt. Express 25(19), 22780–22788 (2017). [Crossref] [PubMed] Chigrinov, V.. A. M. Tam, F. Fan, T. Du, W. Hu, W. L. Zhang, C. X. Zhao, X. Q. Wang, K. L. Ching, G. J. Li, H. L. Luo, V. Chigrinov, S. C. Wen, and H. S. 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