Abstract

We report the realization of polarization sensitive split lens configurations. While split lenses can be used to easily generate different types of controlled structured light patterns, their realization has been limited so far to scalar beams. Here we propose and experimentally demonstrate their generalization to vectorial split lenses, leading to light patterns with customized intensity and state of polarization. We demonstrate how these polarization split lenses can be experimentally implemented by means of an optical system using two liquid crystal spatial light modulators, each one phase modulating one orthogonal polarization component. As a result, we demonstrate the experimental generation of vectorial beams with different shapes generated with these dual polarization split lenses. Excellent experimental results are provided in each case. The proposed technique is a simple method to generate structured light beams with polarization diversity, with potential applications in polarimetry, customized illuminators or quantum optics.

© 2017 Optical Society of America

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2017 (4)

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

J. P. Balthasar Mueller, N. A. Rubin, R. C. Devlin, B. Groever, and F. Capasso, “Metasurface polarization optics: Independent phase control of arbitrary orthogonal states of polarization,” Phys. Rev. Lett. 118(11), 113901 (2017).
[Crossref] [PubMed]

W. Shu, X. Ling, X. Fu, Y. Liu, Y. Ke, and H. Luo, “Polarization evolution of vector beams generated by q-plates,” Photon. Res. 5(2), 64–72 (2017).
[Crossref]

2016 (4)

2015 (7)

M. M. Sánchez-López, A. Vargas, A. Cofré, I. Moreno, and J. Campos, “Simple spectral technique to identify the ordinary and extraordinary axes of a liquid crystal retarder,” Opt. Commun. 349, 105–111 (2015).
[Crossref]

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

A. Turpin, J. Polo, Y. V. Loiko, J. Küber, F. Schmaltz, T. K. Kalkandjiev, V. Ahufinger, G. Birkl, and J. Mompart, “Blue-detuned optical ring trap for Bose-Einstein condensates based on conical refraction,” Opt. Express 23(2), 1638–1650 (2015).
[Crossref] [PubMed]

A. Peinado, A. Lizana, A. Turpin, C. Iemmi, T. K. Kalkandjiev, J. Mompart, and J. Campos, “Optimization, tolerance analysis and implementation of a Stokes polarimeter based on the conical refraction phenomenon,” Opt. Express 23(5), 5636–5652 (2015).
[Crossref] [PubMed]

X. Zheng, A. Lizana, A. Peinado, C. Ramírez, J. L. Martínez, A. Márquez, I. Moreno, and J. Campos, “Compact LCOS-SLM based polarization pattern beam generator,” J. Lightwave Technol. 33(10), 2047–2055 (2015).
[Crossref]

J. A. Rodrigo and T. Alieva, “Freestyle 3D laser traps: tools for studying light-driven particle dynamics and beyond,” Optica 2(9), 812–815 (2015).
[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]

2014 (4)

I. Moreno, J. A. Davis, D. M. Cottrell, and R. Donoso, “Encoding high-order cylindrically polarized light beams,” Appl. Opt. 53(24), 5493–5501 (2014).
[Crossref] [PubMed]

R. Fickler, R. Lapkiewicz, S. Ramelow, and A. Zeilinger, “Quantum entanglement of complex photon polarization patterns in vector beams,” Phys. Rev. A 89(6), 060301 (2014).

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

2013 (1)

2012 (3)

2010 (4)

C. J. Cheng and J. L. Chern, “Symmetry property of a generalized Billet’s N-split lens,” Opt. Commun. 283(19), 3564–3568 (2010).
[Crossref]

C. J. Cheng and J. L. Chern, “Quasi Bessel beam by Billet’s N-split lens,” Opt. Commun. 283(24), 4892–4898 (2010).
[Crossref]

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Selective trapping of multiple particles by volume speckle field,” Opt. Express 18(3), 3137–3142 (2010).
[Crossref] [PubMed]

2009 (2)

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

K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates,” New J. Phys. 11(4), 043030 (2009).
[Crossref]

2005 (1)

P. J. Rodrigo, V. R. Daria, and J. Glückstad, “Four dimensional optical manipulation of colloidal particles,” Appl. Phys. Lett. 86(7), 074103 (2005).
[Crossref]

1994 (1)

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phaseplate,” Opt. Commun. 112(5–6), 321–327 (1994).
[Crossref]

1991 (1)

1990 (2)

Agnew, M.

Ahufinger, V.

Alieva, T.

Alpmann, C.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Andrews, D. L.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Badham, K.

Baker, M.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Balthasar Mueller, J. P.

J. P. Balthasar Mueller, N. A. Rubin, R. C. Devlin, B. Groever, and F. Capasso, “Metasurface polarization optics: Independent phase control of arbitrary orthogonal states of polarization,” Phys. Rev. Lett. 118(11), 113901 (2017).
[Crossref] [PubMed]

Banzer, P.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Barnett, S. M.

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Bauer, T.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Beijersbergen, M. W.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phaseplate,” Opt. Commun. 112(5–6), 321–327 (1994).
[Crossref]

Beléndez, A.

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

Belmonte, A.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Berry, M. V.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Bigelow, N. P.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Birkl, G.

Boshier, M. G.

K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates,” New J. Phys. 11(4), 043030 (2009).
[Crossref]

Boyd, R. W.

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20(21), 23589–23597 (2012).
[Crossref] [PubMed]

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Brandt, W. V.

Bunch, R. M.

Campos, J.

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

A. Lizana, A. Vargas, A. Turpin, C. Ramirez, I. Estevez, and J. Campos, “Shaping light with split lens configurations,” J. Opt. 18(10), 105605 (2016).
[Crossref]

M. M. Sánchez-López, A. Vargas, A. Cofré, I. Moreno, and J. Campos, “Simple spectral technique to identify the ordinary and extraordinary axes of a liquid crystal retarder,” Opt. Commun. 349, 105–111 (2015).
[Crossref]

A. Peinado, A. Lizana, A. Turpin, C. Iemmi, T. K. Kalkandjiev, J. Mompart, and J. Campos, “Optimization, tolerance analysis and implementation of a Stokes polarimeter based on the conical refraction phenomenon,” Opt. Express 23(5), 5636–5652 (2015).
[Crossref] [PubMed]

X. Zheng, A. Lizana, A. Peinado, C. Ramírez, J. L. Martínez, A. Márquez, I. Moreno, and J. Campos, “Compact LCOS-SLM based polarization pattern beam generator,” J. Lightwave Technol. 33(10), 2047–2055 (2015).
[Crossref]

Capasso, F.

J. P. Balthasar Mueller, N. A. Rubin, R. C. Devlin, B. Groever, and F. Capasso, “Metasurface polarization optics: Independent phase control of arbitrary orthogonal states of polarization,” Phys. Rev. Lett. 118(11), 113901 (2017).
[Crossref] [PubMed]

Carberry, D. M.

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

Carnicer, A.

Cheng, C. J.

C. J. Cheng and J. L. Chern, “Symmetry property of a generalized Billet’s N-split lens,” Opt. Commun. 283(19), 3564–3568 (2010).
[Crossref]

C. J. Cheng and J. L. Chern, “Quasi Bessel beam by Billet’s N-split lens,” Opt. Commun. 283(24), 4892–4898 (2010).
[Crossref]

Cheng, H.

Chern, J. L.

C. J. Cheng and J. L. Chern, “Quasi Bessel beam by Billet’s N-split lens,” Opt. Commun. 283(24), 4892–4898 (2010).
[Crossref]

C. J. Cheng and J. L. Chern, “Symmetry property of a generalized Billet’s N-split lens,” Opt. Commun. 283(19), 3564–3568 (2010).
[Crossref]

Cižmár, T.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Coerwinkel, R. P. C.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phaseplate,” Opt. Commun. 112(5–6), 321–327 (1994).
[Crossref]

Cofré, A.

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

M. M. Sánchez-López, A. Vargas, A. Cofré, I. Moreno, and J. Campos, “Simple spectral technique to identify the ordinary and extraordinary axes of a liquid crystal retarder,” Opt. Commun. 349, 105–111 (2015).
[Crossref]

Coll-Lladó, C.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Cottrell, D. M.

Dalgarno, H. I. C.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Daria, V. R.

P. J. Rodrigo, V. R. Daria, and J. Glückstad, “Four dimensional optical manipulation of colloidal particles,” Appl. Phys. Lett. 86(7), 074103 (2005).
[Crossref]

Davis, J. A.

Dennis, M. R.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Denz, C.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Desyatnikov, A. S.

Devlin, R. C.

J. P. Balthasar Mueller, N. A. Rubin, R. C. Devlin, B. Groever, and F. Capasso, “Metasurface polarization optics: Independent phase control of arbitrary orthogonal states of polarization,” Phys. Rev. Lett. 118(11), 113901 (2017).
[Crossref] [PubMed]

Dholakia, K.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Donoso, R.

Estevez, I.

A. Lizana, A. Vargas, A. Turpin, C. Ramirez, I. Estevez, and J. Campos, “Shaping light with split lens configurations,” J. Opt. 18(10), 105605 (2016).
[Crossref]

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]

Ferrier, D. E. K.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Fickler, R.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

R. Fickler, R. Lapkiewicz, S. Ramelow, and A. Zeilinger, “Quantum entanglement of complex photon polarization patterns in vector beams,” Phys. Rev. A 89(6), 060301 (2014).

Forbes, A.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20(21), 23589–23597 (2012).
[Crossref] [PubMed]

Francés, J.

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

Franke-Arnold, S.

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Fu, X.

Gallego, S.

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

Galvez, E. J.

B. Khajavi and E. J. Galvez, “High-order disclinations in space-variant polarization,” J. Opt. 18(8), 084003 (2016).
[Crossref]

Glückstad, J.

P. J. Rodrigo, V. R. Daria, and J. Glückstad, “Four dimensional optical manipulation of colloidal particles,” Appl. Phys. Lett. 86(7), 074103 (2005).
[Crossref]

Gordon, R.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Groever, B.

J. P. Balthasar Mueller, N. A. Rubin, R. C. Devlin, B. Groever, and F. Capasso, “Metasurface polarization optics: Independent phase control of arbitrary orthogonal states of polarization,” Phys. Rev. Lett. 118(11), 113901 (2017).
[Crossref] [PubMed]

Gunn-Moore, F. J.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Han, L.

Hanna, S.

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

Hedman, T. R.

Henderson, K.

K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates,” New J. Phys. 11(4), 043030 (2009).
[Crossref]

Hernandez, T. M.

Ho, Y.-L. D.

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

Iemmi, C.

Ireland, D. G.

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Izdebskaya, Y. V.

Jack, B.

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Jha, A. K.

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Juvells, I.

Kalkandjiev, T. K.

Karimi, E.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Ke, Y.

W. Shu, X. Ling, X. Fu, Y. Liu, Y. Ke, and H. Luo, “Polarization evolution of vector beams generated by q-plates,” Photon. Res. 5(2), 64–72 (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]

Khajavi, B.

B. Khajavi and E. J. Galvez, “High-order disclinations in space-variant polarization,” J. Opt. 18(8), 084003 (2016).
[Crossref]

Kivshar, Y. S.

Kraegeloh, A.

T. Müller, C. Schumann, and A. Kraegeloh, “STED microscopy and its applications: new insights into cellular processes on the nanoscale,” ChemPhysChem 13(8), 1986–2000 (2012).
[Crossref] [PubMed]

Kristensen, M.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phaseplate,” Opt. Commun. 112(5–6), 321–327 (1994).
[Crossref]

Krolikowski, W.

Küber, J.

Lapkiewicz, R.

R. Fickler, R. Lapkiewicz, S. Ramelow, and A. Zeilinger, “Quantum entanglement of complex photon polarization patterns in vector beams,” Phys. Rev. A 89(6), 060301 (2014).

Leach, J.

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20(21), 23589–23597 (2012).
[Crossref] [PubMed]

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Li, P.

Lilly, R. A.

Ling, X.

W. Shu, X. Ling, X. Fu, Y. Liu, Y. Ke, and H. Luo, “Polarization evolution of vector beams generated by q-plates,” Photon. Res. 5(2), 64–72 (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]

Litchinitser, N. M.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Liu, S.

Liu, Y.

W. Shu, X. Ling, X. Fu, Y. Liu, Y. Ke, and H. Luo, “Polarization evolution of vector beams generated by q-plates,” Photon. Res. 5(2), 64–72 (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]

Lizana, A.

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

A. Lizana, A. Vargas, A. Turpin, C. Ramirez, I. Estevez, and J. Campos, “Shaping light with split lens configurations,” J. Opt. 18(10), 105605 (2016).
[Crossref]

A. Peinado, A. Lizana, A. Turpin, C. Iemmi, T. K. Kalkandjiev, J. Mompart, and J. Campos, “Optimization, tolerance analysis and implementation of a Stokes polarimeter based on the conical refraction phenomenon,” Opt. Express 23(5), 5636–5652 (2015).
[Crossref] [PubMed]

X. Zheng, A. Lizana, A. Peinado, C. Ramírez, J. L. Martínez, A. Márquez, I. Moreno, and J. Campos, “Compact LCOS-SLM based polarization pattern beam generator,” J. Lightwave Technol. 33(10), 2047–2055 (2015).
[Crossref]

Loiko, Y. V.

Luo, H.

W. Shu, X. Ling, X. Fu, Y. Liu, Y. Ke, and H. Luo, “Polarization evolution of vector beams generated by q-plates,” Photon. Res. 5(2), 64–72 (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]

Ma, C.

MacCormick, C.

K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates,” New J. Phys. 11(4), 043030 (2009).
[Crossref]

Maluenda, D.

Mansuripur, M.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Márquez, A.

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

X. Zheng, A. Lizana, A. Peinado, C. Ramírez, J. L. Martínez, A. Márquez, I. Moreno, and J. Campos, “Compact LCOS-SLM based polarization pattern beam generator,” J. Lightwave Technol. 33(10), 2047–2055 (2015).
[Crossref]

Marrucci, L.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Martínez, F. J.

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

Martínez, J. L.

Martínez-Herrero, R.

McLaren, M.

McMorran, B.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Miles, M. J.

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

Mompart, J.

Moreno, I.

Müller, T.

T. Müller, C. Schumann, and A. Kraegeloh, “STED microscopy and its applications: new insights into cellular processes on the nanoscale,” ChemPhysChem 13(8), 1986–2000 (2012).
[Crossref] [PubMed]

Neely, T. W.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Nylk, J.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Padgett, M.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Padgett, M. J.

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20(21), 23589–23597 (2012).
[Crossref] [PubMed]

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Pascual, I.

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

Peinado, A.

Phillips, D. B.

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

Polo, J.

Ramelow, S.

R. Fickler, R. Lapkiewicz, S. Ramelow, and A. Zeilinger, “Quantum entanglement of complex photon polarization patterns in vector beams,” Phys. Rev. A 89(6), 060301 (2014).

Ramirez, C.

A. Lizana, A. Vargas, A. Turpin, C. Ramirez, I. Estevez, and J. Campos, “Shaping light with split lens configurations,” J. Opt. 18(10), 105605 (2016).
[Crossref]

Ramírez, C.

Ritsch-Marte, M.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Rode, A. V.

Rodrigo, J. A.

Rodrigo, P. J.

P. J. Rodrigo, V. R. Daria, and J. Glückstad, “Four dimensional optical manipulation of colloidal particles,” Appl. Phys. Lett. 86(7), 074103 (2005).
[Crossref]

Romero, J.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Rosales-Guzmán, C.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Roux, F. S.

Rubin, N. A.

J. P. Balthasar Mueller, N. A. Rubin, R. C. Devlin, B. Groever, and F. Capasso, “Metasurface polarization optics: Independent phase control of arbitrary orthogonal states of polarization,” Phys. Rev. Lett. 118(11), 113901 (2017).
[Crossref] [PubMed]

Rubinsztein-Dunlop, H.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Ryu, C.

K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates,” New J. Phys. 11(4), 043030 (2009).
[Crossref]

Sánchez-López, M. M.

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

I. Moreno, M. M. Sánchez-López, K. Badham, J. A. Davis, and D. M. Cottrell, “Generation of integer and fractional vector beams with q-plates encoded onto a spatial light modulator,” Opt. Lett. 41(6), 1305–1308 (2016).
[Crossref] [PubMed]

M. M. Sánchez-López, A. Vargas, A. Cofré, I. Moreno, and J. Campos, “Simple spectral technique to identify the ordinary and extraordinary axes of a liquid crystal retarder,” Opt. Commun. 349, 105–111 (2015).
[Crossref]

Sand, D.

Schmaltz, F.

Schumann, C.

T. Müller, C. Schumann, and A. Kraegeloh, “STED microscopy and its applications: new insights into cellular processes on the nanoscale,” ChemPhysChem 13(8), 1986–2000 (2012).
[Crossref] [PubMed]

Shu, W.

Shvedov, V. G.

Simpson, S. H.

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

Stilgoe, A. B.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Torres, J. P.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Torres-Ruiz, F. A.

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

Turpin, A.

Vargas, A.

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

A. Lizana, A. Vargas, A. Turpin, C. Ramirez, I. Estevez, and J. Campos, “Shaping light with split lens configurations,” J. Opt. 18(10), 105605 (2016).
[Crossref]

M. M. Sánchez-López, A. Vargas, A. Cofré, I. Moreno, and J. Campos, “Simple spectral technique to identify the ordinary and extraordinary axes of a liquid crystal retarder,” Opt. Commun. 349, 105–111 (2015).
[Crossref]

Vettenburg, T.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Weiner, A. M.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Wen, S.

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]

White, A. G.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Willner, A. E.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Woerdman, J. P.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phaseplate,” Opt. Commun. 112(5–6), 321–327 (1994).
[Crossref]

Wyrowski, F.

F. Wyrowski, “Diffractive optical elements: iterative calculation of quantized, blazed phase structures,” J. Opt. Soc. Am. 7(6), 961–969 (1990).
[Crossref]

Xie, G.

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

Yao, A. M.

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

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]

Zeilinger, A.

R. Fickler, R. Lapkiewicz, S. Ramelow, and A. Zeilinger, “Quantum entanglement of complex photon polarization patterns in vector beams,” Phys. Rev. A 89(6), 060301 (2014).

Zhan, Q.

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

Zhang, Y.

Zhao, J.

Zheng, X.

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]

Adv. Opt. Photonics (1)

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

Appl. Opt. (3)

Appl. Phys. Lett. (1)

P. J. Rodrigo, V. R. Daria, and J. Glückstad, “Four dimensional optical manipulation of colloidal particles,” Appl. Phys. Lett. 86(7), 074103 (2005).
[Crossref]

ChemPhysChem (1)

T. Müller, C. Schumann, and A. Kraegeloh, “STED microscopy and its applications: new insights into cellular processes on the nanoscale,” ChemPhysChem 13(8), 1986–2000 (2012).
[Crossref] [PubMed]

J. Lightwave Technol. (1)

J. Opt. (3)

B. Khajavi and E. J. Galvez, “High-order disclinations in space-variant polarization,” J. Opt. 18(8), 084003 (2016).
[Crossref]

A. Lizana, A. Vargas, A. Turpin, C. Ramirez, I. Estevez, and J. Campos, “Shaping light with split lens configurations,” J. Opt. 18(10), 105605 (2016).
[Crossref]

H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, and A. M. Weiner, “Roadmap on structured light,” J. Opt. 19(1), 013001 (2017).
[Crossref]

J. Opt. Soc. Am. (1)

F. Wyrowski, “Diffractive optical elements: iterative calculation of quantized, blazed phase structures,” J. Opt. Soc. Am. 7(6), 961–969 (1990).
[Crossref]

Nat. Methods (1)

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Nat. Photonics (1)

D. B. Phillips, M. J. Padgett, S. Hanna, Y.-L. D. Ho, D. M. Carberry, M. J. Miles, and S. H. Simpson, “Shape-induced force fields in optical trapping,” Nat. Photonics 8(5), 400–405 (2014).
[Crossref]

New J. Phys. (1)

K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates,” New J. Phys. 11(4), 043030 (2009).
[Crossref]

Opt. Commun. (4)

C. J. Cheng and J. L. Chern, “Symmetry property of a generalized Billet’s N-split lens,” Opt. Commun. 283(19), 3564–3568 (2010).
[Crossref]

C. J. Cheng and J. L. Chern, “Quasi Bessel beam by Billet’s N-split lens,” Opt. Commun. 283(24), 4892–4898 (2010).
[Crossref]

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phaseplate,” Opt. Commun. 112(5–6), 321–327 (1994).
[Crossref]

M. M. Sánchez-López, A. Vargas, A. Cofré, I. Moreno, and J. Campos, “Simple spectral technique to identify the ordinary and extraordinary axes of a liquid crystal retarder,” Opt. Commun. 349, 105–111 (2015).
[Crossref]

Opt. Express (6)

Opt. Laser Technol. (1)

A. Cofré, A. Vargas, F. A. Torres-Ruiz, J. Campos, A. Lizana, M. M. Sánchez-López, and I. Moreno, “Quantitative performance of a polarization diffraction grating polarimeter encoded onto two liquid-crystal-on-silicon displays,” Opt. Laser Technol. 96, 219–226 (2017).
[Crossref]

Opt. Lasers Eng. (1)

F. J. Martínez, A. Márquez, S. Gallego, J. Francés, I. Pascual, and A. Beléndez, “Effective angular and wavelength modeling of parallel aligned liquid crystal devices,” Opt. Lasers Eng. 74, 114–121 (2015).
[Crossref]

Opt. Lett. (2)

Optica (1)

Photon. Res. (1)

Phys. Rev. A (2)

R. Fickler, R. Lapkiewicz, S. Ramelow, and A. Zeilinger, “Quantum entanglement of complex photon polarization patterns in vector beams,” Phys. Rev. A 89(6), 060301 (2014).

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]

Phys. Rev. Lett. (1)

J. P. Balthasar Mueller, N. A. Rubin, R. C. Devlin, B. Groever, and F. Capasso, “Metasurface polarization optics: Independent phase control of arbitrary orthogonal states of polarization,” Phys. Rev. Lett. 118(11), 113901 (2017).
[Crossref] [PubMed]

Science (1)

J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science 329(5992), 662–665 (2010).
[Crossref] [PubMed]

Supplementary Material (3)

NameDescription
» Visualization 1       Visualization of different d values between 0.1 mm to 1.0 mm in steps of 0.1 mm.
» Visualization 2       Visualization of different angular orientation between 0° to 66° in steps of 6°.
» Visualization 3       Visualization of different orientations of analyzer between 0° to 135°.

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Figures (7)

Fig. 1
Fig. 1

Optical system. SF is a spatial filter. P1 and P2 are linear polarizers. LCoS1 and LCoS2 are liquid-crystal on silicon displays, both with the LC director oriented horizontally. L1 collimates the input beam. L2 and L3 compose a 4f system where both displays are in conjugated planes. L4 is used to focus the final plane on the CCD camera. In some experiments, a quarter-wave plate (QWP) is also included in the system.

Fig. 2
Fig. 2

Demonstration of the polarization CGH. LCoS1 and LCoS2 SLMs display two different holograms, encoding the words UFRO - UAB and UMH - UFRO respectively. The CGH reconstruction is shown for different orientations of the analyzer (P2), indicated on top.

Fig. 3
Fig. 3

Three different example designs of split lenses. (a) Segmented lens with 5 sectors with the centers located with equi-angular separation and small radius separation. (b) Segmented lens with the same 5 sectors and angular directions, but with larger radial separation. (c) Split lens with continuous angular rotation of the center.

Fig. 4
Fig. 4

Results with segmented polarization Billet split lenses with five focal spots distributed angularly. Here the vertical polarization component encodes a separation d = 0.6 mm, while the horizontal polarization component encodes a separation of d = 0.2 mm (first row), d = 0.5 mm (second row) and d = 1.0 mm (third row) (see Visualization 1). The symbol over the experimental captures indicates the orientation of the analyzer.

Fig. 5
Fig. 5

Results with segmented polarization split lenses with five focal spots distributed angularly. Here both polarization components encode the same separation d = 0.6 mm, but there is an angular separation α = 12° (first row), α = 30° (second row) and α = 60° (third row). The red arrows marked in (b), (h) and (n) indicate the center of one specific lens, to easily visualize this rotation (see Visualization 2). The symbol over the experimental captures indicates the orientation of the analyzer.

Fig. 6
Fig. 6

Results with continuous polarization split lenses. The first row shows results for half-plane lenses with the same displacement d = 0.6 mm (see Visualization 3). The second row shows results for two complete lenses with different displacements d = 0.6 mm for the vertical polarization and d = 0.8 mm for the horizontal polarization. The symbol over the experimental captures indicates the orientation of the analyzer.

Fig. 7
Fig. 7

Results with a continuous polarization split lens with d = 0.6 mm, combined with spiral phases of different topological charges to generate vector beams. The two left columns shows the two phase-masks displayed in each case, the central column shows the expected polarization pattern, and the two right columns show the corresponding experimental result obtained with the analyzer oriented at ± 45°.

Equations (3)

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

U( r,θ )=exp[ i π λf | r d m ( θ ) | ],
d m ( θ )=( dcos( θ m ),dsin( θ m ) ),
V= U R ( r,θ )exp( i l R θ )|R+ U L ( r,θ )exp( i l L θ )|L,

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