Abstract

A kind of optical vortex converter is proposed in helical-periodically poled ferroelectric crystal based on transverse electro-optics effect. It can be used to generate optical vortex from non-vortex beam and transform the topological charge of optical vortex. An optical vortex adder or substrator is proposed under the control of electric filed. This device will find its applications in high dimensional communication system for signal processing and optical manipulation in micro and mesoscopic scale.

© 2011 OSA

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    [CrossRef]
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    [CrossRef] [PubMed]
  25. Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
    [CrossRef]
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    [CrossRef]

2010 (1)

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[CrossRef]

2009 (1)

K. Liu, J. H. Shi, and X. F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94(10), 101106 (2009).
[CrossRef]

2007 (3)

A. Bahabad and A. Arie, “Generation of optical vortex beams by nonlinear wave mixing,” Opt. Express 15(26), 17619–17624 (2007).
[CrossRef] [PubMed]

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3(5), 305–310 (2007).
[CrossRef]

2006 (2)

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96(16), 163905 (2006).
[CrossRef] [PubMed]

G. L. Zheng, H. C. Wang, and W. L. She, “Wave coupling theory of quasi-phase-matched linear electro-optic effect,” Opt. Express 14(12), 5535–5540 (2006).
[CrossRef] [PubMed]

2005 (1)

Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
[CrossRef]

2004 (1)

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett. 92(16), 167903 (2004).
[CrossRef] [PubMed]

2003 (2)

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91(22), 227902 (2003).
[CrossRef] [PubMed]

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

2002 (1)

S. Barnett, “Optical angular-momentum flux,” J. Opt. B Quantum Semiclassical Opt. 4(2), S7– S16 (2002).
[CrossRef]

2001 (2)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[CrossRef] [PubMed]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88(1), 013601 (2001).
[CrossRef]

2000 (1)

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77(23), 3719–3721 (2000).
[CrossRef]

1999 (1)

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Parametric down-conversion for light beams possessing orbital angular momentum,” Phys. Rev. A 59(5), 3950–3952 (1999).
[CrossRef]

1997 (3)

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[CrossRef]

S. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, “Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner,” Opt. Lett. 22(1), 52–54 (1997).
[CrossRef] [PubMed]

1996 (1)

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[CrossRef] [PubMed]

1994 (1)

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

1993 (1)

M. Beijersbergen, L. Allen, H. Van der Veen, and J. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96(1-3), 123–132 (1993).
[CrossRef]

1992 (3)

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]

N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951– S962 (1992).
[CrossRef]

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17(3), 221–223 (1992).
[CrossRef] [PubMed]

1936 (1)

R. A. Beth, “Mechanical detection and measurement of the angular momentum of light,” Phys. Rev. 50(2), 115–125 (1936).
[CrossRef]

Allen, L.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Parametric down-conversion for light beams possessing orbital angular momentum,” Phys. Rev. A 59(5), 3950–3952 (1999).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[CrossRef]

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, “Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner,” Opt. Lett. 22(1), 52–54 (1997).
[CrossRef] [PubMed]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[CrossRef] [PubMed]

M. Beijersbergen, L. Allen, H. Van der Veen, and J. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96(1-3), 123–132 (1993).
[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]

Arie, A.

Arlt, J.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Parametric down-conversion for light beams possessing orbital angular momentum,” Phys. Rev. A 59(5), 3950–3952 (1999).
[CrossRef]

Asobe, M.

Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
[CrossRef]

Bahabad, A.

Barnett, S.

S. Barnett, “Optical angular-momentum flux,” J. Opt. B Quantum Semiclassical Opt. 4(2), S7– S16 (2002).
[CrossRef]

Beijersbergen, M.

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

M. Beijersbergen, L. Allen, H. Van der Veen, and J. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96(1-3), 123–132 (1993).
[CrossRef]

Beijersbergen, M. W.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[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]

Berkhout, G. C. G.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[CrossRef]

Beth, R. A.

R. A. Beth, “Mechanical detection and measurement of the angular momentum of light,” Phys. Rev. 50(2), 115–125 (1936).
[CrossRef]

Chen, X. F.

K. Liu, J. H. Shi, and X. F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94(10), 101106 (2009).
[CrossRef]

Chiu, D. T.

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

Coerwinkel, R.

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

Courtial, J.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[CrossRef]

Dholakia, K.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Parametric down-conversion for light beams possessing orbital angular momentum,” Phys. Rev. A 59(5), 3950–3952 (1999).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[CrossRef]

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, “Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner,” Opt. Lett. 22(1), 52–54 (1997).
[CrossRef] [PubMed]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[CrossRef] [PubMed]

Edgar, J. S.

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

Fong, C.

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

Grier, D. G.

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

Heckenberg, N.

N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951– S962 (1992).
[CrossRef]

Heckenberg, N. R.

Hradil, Z.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett. 92(16), 167903 (2004).
[CrossRef] [PubMed]

Jeffries, G. D. M.

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

Jennewein, T.

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91(22), 227902 (2003).
[CrossRef] [PubMed]

Kristensen, M.

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

Lavery, M. P. J.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[CrossRef]

Liu, K.

K. Liu, J. H. Shi, and X. F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94(10), 101106 (2009).
[CrossRef]

Lu, Y. Q.

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77(23), 3719–3721 (2000).
[CrossRef]

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[CrossRef] [PubMed]

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96(16), 163905 (2006).
[CrossRef] [PubMed]

Marrucci, L.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96(16), 163905 (2006).
[CrossRef] [PubMed]

McDuff, R.

N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951– S962 (1992).
[CrossRef]

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17(3), 221–223 (1992).
[CrossRef] [PubMed]

Ming, N. B.

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77(23), 3719–3721 (2000).
[CrossRef]

S. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

Miyazawa, H.

Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
[CrossRef]

Molina-Terriza, G.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3(5), 305–310 (2007).
[CrossRef]

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett. 92(16), 167903 (2004).
[CrossRef] [PubMed]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88(1), 013601 (2001).
[CrossRef]

Nishida, Y.

Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
[CrossRef]

Padgett, M. J.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[CrossRef]

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Parametric down-conversion for light beams possessing orbital angular momentum,” Phys. Rev. A 59(5), 3950–3952 (1999).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[CrossRef]

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, “Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner,” Opt. Lett. 22(1), 52–54 (1997).
[CrossRef] [PubMed]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[CrossRef] [PubMed]

Pan, J.-W.

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91(22), 227902 (2003).
[CrossRef] [PubMed]

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96(16), 163905 (2006).
[CrossRef] [PubMed]

Rehácek, J.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett. 92(16), 167903 (2004).
[CrossRef] [PubMed]

Rubinsztein-Dunlop, H.

N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951– S962 (1992).
[CrossRef]

She, W. L.

Shelby, J. P.

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

Shi, J. H.

K. Liu, J. H. Shi, and X. F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94(10), 101106 (2009).
[CrossRef]

Simpson, N. B.

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, “Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner,” Opt. Lett. 22(1), 52–54 (1997).
[CrossRef] [PubMed]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[CrossRef] [PubMed]

Smith, C.

N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951– S962 (1992).
[CrossRef]

Smith, C. P.

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]

Suzuki, H.

Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
[CrossRef]

Tadanaga, O.

Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
[CrossRef]

Torner, L.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3(5), 305–310 (2007).
[CrossRef]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88(1), 013601 (2001).
[CrossRef]

Torres, J. P.

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3(5), 305–310 (2007).
[CrossRef]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88(1), 013601 (2001).
[CrossRef]

Van der Veen, H.

M. Beijersbergen, L. Allen, H. Van der Veen, and J. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96(1-3), 123–132 (1993).
[CrossRef]

Vaziri, A.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett. 92(16), 167903 (2004).
[CrossRef] [PubMed]

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91(22), 227902 (2003).
[CrossRef] [PubMed]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[CrossRef] [PubMed]

Wan, Z. L.

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77(23), 3719–3721 (2000).
[CrossRef]

Wang, H. C.

Wang, Q.

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77(23), 3719–3721 (2000).
[CrossRef]

Wegener, M.

N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951– S962 (1992).
[CrossRef]

Weihs, G.

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91(22), 227902 (2003).
[CrossRef] [PubMed]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[CrossRef] [PubMed]

White, A. G.

Woerdman, J.

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

M. Beijersbergen, L. Allen, H. Van der Veen, and J. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96(1-3), 123–132 (1993).
[CrossRef]

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]

Xi, Y. X.

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77(23), 3719–3721 (2000).
[CrossRef]

Zeilinger, A.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett. 92(16), 167903 (2004).
[CrossRef] [PubMed]

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91(22), 227902 (2003).
[CrossRef] [PubMed]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[CrossRef] [PubMed]

Zhao, Y.

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

Zheng, G. L.

Zhu, S.

S. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

Zhu, Y. Y.

S. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

Appl. Phys. Lett. (2)

K. Liu, J. H. Shi, and X. F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94(10), 101106 (2009).
[CrossRef]

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77(23), 3719–3721 (2000).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, “0-dB wavelength conversion using direct-bonded QPM-Zn: LiNbO3 ridge waveguide,” IEEE Photon. Technol. Lett. 17(5), 1049–1051 (2005).
[CrossRef]

J. Opt. B Quantum Semiclassical Opt. (1)

S. Barnett, “Optical angular-momentum flux,” J. Opt. B Quantum Semiclassical Opt. 4(2), S7– S16 (2002).
[CrossRef]

Nano Lett. (1)

G. D. M. Jeffries, J. S. Edgar, Y. Zhao, J. P. Shelby, C. Fong, and D. T. Chiu, “Using polarization-shaped optical vortex traps for single-cell nanosurgery,” Nano Lett. 7(2), 415–420 (2007).
[CrossRef] [PubMed]

Nat. Phys. (1)

G. Molina-Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nat. Phys. 3(5), 305–310 (2007).
[CrossRef]

Nature (2)

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[CrossRef] [PubMed]

Opt. Commun. (2)

M. Beijersbergen, L. Allen, H. Van der Veen, and J. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96(1-3), 123–132 (1993).
[CrossRef]

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

Opt. Express (2)

Opt. Lett. (2)

Opt. Quantum Electron. (1)

N. Heckenberg, R. McDuff, C. Smith, H. Rubinsztein-Dunlop, and M. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951– S962 (1992).
[CrossRef]

Phys. Rev. (1)

R. A. Beth, “Mechanical detection and measurement of the angular momentum of light,” Phys. Rev. 50(2), 115–125 (1936).
[CrossRef]

Phys. Rev. A (4)

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]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[CrossRef] [PubMed]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[CrossRef]

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Parametric down-conversion for light beams possessing orbital angular momentum,” Phys. Rev. A 59(5), 3950–3952 (1999).
[CrossRef]

Phys. Rev. Lett. (5)

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96(16), 163905 (2006).
[CrossRef] [PubMed]

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91(22), 227902 (2003).
[CrossRef] [PubMed]

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, “Triggered qutrits for quantum communication protocols,” Phys. Rev. Lett. 92(16), 167903 (2004).
[CrossRef] [PubMed]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88(1), 013601 (2001).
[CrossRef]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[CrossRef]

Science (1)

S. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

Other (2)

R. J. Voogd, M. Singh, S. F. Pereira, A. S. van de Nes, and J. J. M. Braat, “The use of orbital angular momentum of light beams for super-high density optical data storage,” in OSA Annual Meeting FTuG14(Optical Society of America, Rochester, New York, 2004).

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of transverse electro-optic effect in (a) periodically poled ferroelectric crystal and (b) helical-periodically poled ferroelectric crystal. (c) The coupling direction from ordinary light to extraordinary light in HPPLN. (d) The coupling direction from extraordinary light to ordinary light in HPPLN.

Fig. 2
Fig. 2

(a) Phase distributions of incident ordinary light(first column) and output extraordinary light(column 2-4) with external electric field applied. The HPPLN works as an optical vortex adder. (b) Phase distributions of incident extraordinary light (first column) and the output ordinary light with external electric field applied (columns 2-4). The HPPLN works as an optical vortex substractor. lis the TC of incident light, and l ' the TC of HPPLN.

Fig. 3
Fig. 3

(a) The normalized light intensity of output ordinary and extraordinary lights controlled by external electric field. (b)The averaged OAM of output light beam passing through the HPPLN with different TC controlled by external electric field.

Equations (7)

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E ( x , t ) = E ( x , ω = 0 ) + [ E ω ( x ) exp ( i ω t ) + E ω ( x ) exp ( i ω t ) ] / 2 ,
{ d A 1 ( x ) / d x = i κ g ( r ) A 2 ( x ) exp ( i Δ k ' x ) i ν 1 g ( r ) A 1 ( x ) d A 2 ( x ) / d x = i κ g ( r ) A 1 ( x ) exp ( i Δ k ' x ) i ν 2 g ( r ) A 2 ( x ) .
G m = { 1 i π m [ 1 cos ( 2 π m D ) + i sin ( 2 π m D ) ] ( m 0 ) 2 D 1 ( m = 0 ) ,
{ d A 1 ( x ) / d x = i κ q A 2 ( x ) exp ( i Δ k x ) i ν 1 q A 1 ( x ) d A 2 ( x ) / d x = i κ q A 1 ( x ) exp ( i Δ k x ) i v 2 q A 2 ( x ) ,
{ A 1 ( L ) = exp [ i ( Δ k / 2 ) L ] { [ cos ( s L ) i Δ k / ( 2 s ) sin ( s L ) ] A 1 ( 0 ) i ( κ q / s ) sin ( s L ) A 2 ( 0 ) } , A 2 ( L ) = exp [ i ( Δ k / 2 ) L ] { i ( κ q * / s ) sin ( s L ) A 1 ( 0 ) + [ cos ( s L ) + i Δ k / ( 2 s ) sin ( s L ) ] A 2 ( 0 ) } ,
{ A 1 ( L ) = cos ( | κ q | L ) exp ( i l θ ) A 2 ( L ) = i exp ( i ( l ' + l ) θ ) sin ( | κ q | L ) .
{ A 1 ( L ) = i exp ( i ( l l ' ) θ ) sin ( | κ q | L ) A 2 ( L ) = cos ( | κ q | L ) exp ( i l θ ) .

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