Abstract

We propose theoretically and verify experimentally a method of using electrically tunable liquid crystal q-plate and wave plate for generating arbitrary vector vortex beams on a hybrid-order Poincaré sphere (HyOPS). The generated vector vortex beam is verified and shows decent agreement with the prediction. This method brings many advantages, such as high conversion efficiency, good electrical controllability, and integration. This system can provide fundamental optical system support for various structured beam applications.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [Crossref]
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    [Crossref]
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    [Crossref]
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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)

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)

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)

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)

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.

Alfano, R. R.

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.

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.

Cao, Z.

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.

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.

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]

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).

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]

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]

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, 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.

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.

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. 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, 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]

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]

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]

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]

Chigrinov, V. G.

Ching, K. L.

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]

Cho, S. W.

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]

Choi, J.-W.

Cich, M.

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]

Cu, G. X.

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).

Cui, G.-X.

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]

Ding, J.

Dong, L. Q.

Du, T.

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]

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]

Duan, W.

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]

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]

Dudley, A.

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]

Evans, S.

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).
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Fan, D.

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]

Fan, F.

Forbes, A.

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]

Fu, W.

Gabriel, C.

Galvez, E. J.

Gao, N.

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]

Ge, S.

Ge, S. J.

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]

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]

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]

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]

Ge, S.-J.

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]

Gerardot, B. D.

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]

Gu, P. C.

Hao, J.

He, S.

Holleczek, A.

Hu, H.

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]

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]

Hu, L.

Hu, W.

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]

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]

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]

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]

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, 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]

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]

Huang, H.

Idrobo, J. C.

J. C. Idrobo and S. J. Pennycook, “Vortex beams for atomic resolution dichroism,” J. Electron Microsc. (Tokyo) 60(5), 295–300 (2011).
[Crossref] [PubMed]

Inavalli, V. V. G. K.

Ji, W.

Kang, M.

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]

Karimi, E.

Ke, Y.

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]

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]

Khadka, S.

Kim, H.

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]

Kuang, D. F.

Kwok, H. S.

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]

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]

Lavery, M. P. J.

Leach, J.

Lee, B.

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]

Lee, S. Y.

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]

Leuchs, G.

Li, D.

Li, G. J.

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]

Li, J.

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]

Lin, T.

Lin, X.

Lin, Z.

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]

Ling, X.

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]

Litvin, I.

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]

Liu, Y.

Liu, Z.

Lu, W.

Lu, Y.

Lu, Y. Q.

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]

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]

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]

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]

Lu, Y.-Q.

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]

Luo, H.

Luo, H. L.

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]

Ma, H.

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]

Ma, L. L.

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, 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]

Marquardt, C.

Marrucci, L.

Milione, G.

Ming, Y.

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).

Mittleman, D. M.

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]

Mu, Q.

Naidoo, D.

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]

Ng, J.

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]

Nguyen, T. A.

Nolan, D. A.

Nomoto, S.

Ostrovsky, A. S.

Padgett, M. J.

A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011).
[Crossref]

Park, J.

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]

Pennycook, S. J.

J. C. Idrobo and S. J. Pennycook, “Vortex beams for atomic resolution dichroism,” J. Electron Microsc. (Tokyo) 60(5), 295–300 (2011).
[Crossref] [PubMed]

Piccirillo, B.

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]

Ren, Y.

Rickenstorff-Parrao, C.

Roux, F. S.

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]

Schubert, W. H.

Shen, D.

Shu, W.

Spreeuw, R. J. C.

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]

Srivastava, A. K.

Sztul, H. I.

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]

Tam, A. M.

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]

Tam, A. M. W.

Tang, J.

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]

Tang, M. J.

Taylor, A. J.

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]

Viswanathan, N. K.

Wang, H. T.

Wang, R.

Wang, X. Q.

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]

Wei, B.

Wei, B. Y.

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]

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]

Wei, B.-Y.

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]

Wen, D.

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]

Wen, S.

Wen, S. C.

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]

Willner, A. E.

Woerdman, J. P.

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]

Wu, H.

Wu, R.

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]

Xie, C.

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]

Xie, G.

Xie, W.

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]

Xin, J.

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]

Xu, F.

Xu, J.

Xu, R.

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]

Xu, X.

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]

Xuan, L.

Yang, Z.

Yao, A. M.

A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011).
[Crossref]

Yao, L.

Yi, X.

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]

Yuan, Y.

Yue, F.

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).
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Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photonics 1(1), 1–57 (2009).
[Crossref]

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Zhang, J.

Zhang, W.

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).

Zhang, W. L.

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]

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]

Zhang, Y.

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]

Zhao, C. X.

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]

Zheng, Z. G.

Zhou, X.

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]

Zhou, Y.

Zhu, G.

ACS Photonics (2)

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]

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]

Adv. Mater. (1)

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Figures (5)

Fig. 1
Fig. 1 Schematic illustration of the HyOPS.
Fig. 2
Fig. 2 (a). The system to generate arbitrary vector vortex beams. (b). The system to measure the relationship between retardation and the voltage across the cell.
Fig. 3
Fig. 3 The relationship between the parameter and the voltage. Cell information: spacer: 4 μm, photoalignment material: 0.5% SD1, LC material: 5CB.
Fig. 4
Fig. 4 Experiment setup for the patterned photo-alignment.
Fig. 5
Fig. 5 Polarization and intensity distribution of the theoretical and experimental results of vector vortex beams (The left pictures of each points are theoretical results).

Tables (1)

Tables Icon

Table 1 Applied voltages and spherical coordinates in the HyOPS of each case shown in Fig. 5.

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

| ψ l,m = ψ N l | N l + ψ s m | S m ,
S 0 (l,m) =| ψ N l | 2 +| ψ S m | 2 ,
S 1 l,m =2| ψ N l || ψ S m |cosϕ,
S 2 l,m =2| ψ N l || ψ S m |sinϕ,
S 3 l,m =| ψ N l | 2 | ψ S m | 2 ,
|ψ= 2 2 ( e ^ x +iσ e ^ y )exp( ilφ ).
|ψ=cos δ 2 2 2 ( e ^ x +iσ e ^ y )exp( ilφ )+ sin δ 2 2 2 ( e ^ x iσ e ^ y )exp( imφ )exp[ i( 2σ α 0 π 2 ) ],
|ψ=cos δ 2 2 2 ( e ^ x +iσ e ^ y )exp( ilφ )+sin δ 2 ( e ^ x iσ e ^ y ) ×exp( imφ )exp[ i( 2σ α 0 π 2 ) ]exp(iΓ) .
s 1 = I( 0°,0° )I( 90°,90° ) I( 0°,0° )+I( 90°,90° ) ,
s 2 = I( 45°,45° )I( 135°,135° ) I( 45°,45° )+I( 135°,135° ) ,
s 3 = I( 45°,0° )I( 45°,0° ) I( 45°,0° )+I( 45°,0° ) .