Abstract

Optical activity (OA) is the rotation of the polarization orientation of the linearly polarized light as it travels through certain materials that are of mirror asymmetry, including gases or solutions of chiral molecules such as sugars and proteins, as well as metamaterials. The necessary condition for achieving OA is the birefringence of two circular polarizations in material. Here, we propose a new kind of self-accelerated OA in free space, based on the intrinsic Gouy phase induced mode birefringence of two kinds of quasi-non-diffracting beams. We provide a detailed insight into this kind of self-accelerated OA by analyzing angular parameters, including angular direction, velocity, acceleration, and even the polarization transformation trajectory. As the Gouy phase exists for any wave, this kind of self-accelerated OA can be implemented in other waves beyond optics, from acoustic and elastic waves to matter waves.

© 2020 Chinese Laser Press

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References

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2019 (2)

2018 (2)

2017 (3)

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Y. Zhang, X. Guo, L. Han, P. Li, S. Liu, H. Cheng, and J. Zhao, “Gouy phase induced polarization transition of focused vector vortex beams,” Opt. Express 25, 25725–25733 (2017).
[Crossref]

P. Li, Y. Zhang, S. Liu, H. Cheng, L. Han, D. Wu, and J. Zhao, “Generation and self-healing of vector Bessel–Gauss beams with variant state of polarizations upon propagation,” Opt. Express 25, 5821–5831 (2017).
[Crossref]

2016 (8)

M. Neugebauer, S. Grosche, S. Rothau, G. Leuchs, and P. Banzer, “Lateral spin transport in paraxial beams of light,” Opt. Lett. 41, 3499–3502 (2016).
[Crossref]

P. Li, Y. Zhang, S. Liu, C. Ma, L. Han, H. Cheng, and J. Zhao, “Generation of perfect vectorial vortex beams,” Opt. Lett. 41, 2205–2208 (2016).
[Crossref]

P. Li, Y. Zhang, S. Liu, L. Han, H. Cheng, F. Yu, and J. Zhao, “Quasi-Bessel beams with longitudinally varying polarization state generated by employing spectrum engineering,” Opt. Lett. 41, 4811–4814 (2016).
[Crossref]

J. A. Davis, I. Moreno, K. Badham, M. M. Sánchez-López, and D. M. Cottrell, “Nondiffracting vector beams where the charge and the polarization state vary with propagation distance,” Opt. Lett. 41, 2270–2273 (2016).
[Crossref]

S. Fu, S. Zhang, and C. Gao, “Bessel beams with spatial oscillating polarization,” Sci. Rep. 6, 30765 (2016).
[Crossref]

B. Gu, B. Wen, G. Rui, Y. Xue, Q. Zhan, and Y. Cui, “Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media,” Opt. Lett. 41, 1566–1569 (2016).
[Crossref]

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
[Crossref]

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

2015 (6)

2014 (3)

B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
[Crossref]

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

2013 (2)

G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, “Observation of the Larmor and Gouy rotations with electron vortex beams,” Phys. Rev. Lett. 110, 093601 (2013).
[Crossref]

F. Cardano, E. Karimi, L. Marrucci, C. de Lisio, and E. Santamato, “Generation and dynamics of optical beams with polarization singularities,” Opt. Express 21, 8815–8820 (2013).
[Crossref]

2012 (2)

M. Duocastella and C. B. Arnold, “Bessel and annular beams for materials processing,” Laser Photonics Rev. 6, 607–621 (2012).
[Crossref]

G. M. Philip, V. Kumar, G. Milione, and N. K. Viswanathan, “Manifestation of the Gouy phase in vector-vortex beams,” Opt. Lett. 37, 2667–2669 (2012).
[Crossref]

2011 (1)

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, 053601 (2011).
[Crossref]

2010 (2)

P. Martelli, M. Tacca, A. Gatto, G. Moneta, and M. Martinelli, “Gouy phase shift in nondiffracting Bessel beams,” Opt. Express 18, 7108–7120 (2010).
[Crossref]

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
[Crossref]

2009 (3)

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
[Crossref]

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

T. Čižmár and K. Dholakia, “Tunable Bessel light modes: engineering the axial propagation,” Opt. Express 17, 15558–15570 (2009).
[Crossref]

2007 (1)

Z. Derrar Kaddour, A. Taleb, K. Ait-Ameur, and G. Martel, “Revisiting Gouy phase,” Opt. Commun. 280, 256–263 (2007).
[Crossref]

2001 (1)

1998 (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, 8185–8189 (1992).
[Crossref]

1938 (1)

A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev. 54, 931–936 (1938).
[Crossref]

Ait-Ameur, K.

Z. Derrar Kaddour, A. Taleb, K. Ait-Ameur, and G. Martel, “Revisiting Gouy phase,” Opt. Commun. 280, 256–263 (2007).
[Crossref]

Alan, E. W.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Alexander, B. S.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

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, 8185–8189 (1992).
[Crossref]

Andrew, F.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Andrew, G. W.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Andrew, M. W.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Arnold, C. B.

M. Duocastella and C. B. Arnold, “Bessel and annular beams for materials processing,” Laser Photonics Rev. 6, 607–621 (2012).
[Crossref]

Arroyo-Carrasco, M. L.

Badham, K.

Banzer, P.

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, 8185–8189 (1992).
[Crossref]

Belmonte, A.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Benjamin, M.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Berry, M. V.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Bliokh, K. Y.

G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, “Observation of the Larmor and Gouy rotations with electron vortex beams,” Phys. Rev. Lett. 110, 093601 (2013).
[Crossref]

Cao, M.

Cardano, F.

Chávez-Cerda, S.

Chen, J.

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
[Crossref]

Chen, P.

S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

Chen, S.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

Chen, Y.

J. Wang, X. Yang, Y. Li, Y. Chen, M. Cao, D. Wei, H. Gao, and F. Li, “Optically spatial information selection with hybridly polarized beam in atomic vapor,” Photon. Res. 6, 451–456 (2018).
[Crossref]

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
[Crossref]

Chen, Z.

S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

Cheng, H.

Christina, A.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Cižmár, T.

Cofré, A.

Cornelia, D.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Cottrell, D.

Cottrell, D. M.

Cui, Y.

B. Gu, B. Wen, G. Rui, Y. Xue, Q. Zhan, and Y. Cui, “Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media,” Opt. Lett. 41, 1566–1569 (2016).
[Crossref]

B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
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R. Ducharme and I. G. da Paz, “Gouy phase for relativistic quantum particles,” Phys. Rev. A 92, 023853 (2015).
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R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Davis, J.

Davis, J. A.

de Lisio, C.

Dennis, M. R.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
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Derrar Kaddour, Z.

Z. Derrar Kaddour, A. Taleb, K. Ait-Ameur, and G. Martel, “Revisiting Gouy phase,” Opt. Commun. 280, 256–263 (2007).
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Dholakia, K.

Ding, J.

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
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Ducharme, R.

R. Ducharme and I. G. da Paz, “Gouy phase for relativistic quantum particles,” Phys. Rev. A 92, 023853 (2015).
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C. Schulze, F. S. Roux, A. Dudley, R. Rop, M. Duparré, and A. Forbes, “Accelerated rotation with orbital angular momentum modes,” Phys. Rev. A 91, 043821 (2015).
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M. Duocastella and C. B. Arnold, “Bessel and annular beams for materials processing,” Laser Photonics Rev. 6, 607–621 (2012).
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C. Schulze, F. S. Roux, A. Dudley, R. Rop, M. Duparré, and A. Forbes, “Accelerated rotation with orbital angular momentum modes,” Phys. Rev. A 91, 043821 (2015).
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Eastwood, S. A.

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

Ebrahim, K.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[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, 023801 (2015).
[Crossref]

Fedotov, V. A.

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
[Crossref]

Feng, S.

Forbes, A.

C. Schulze, F. S. Roux, A. Dudley, R. Rop, M. Duparré, and A. Forbes, “Accelerated rotation with orbital angular momentum modes,” Phys. Rev. A 91, 043821 (2015).
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S. Fu, S. Zhang, and C. Gao, “Bessel beams with spatial oscillating polarization,” Sci. Rep. 6, 30765 (2016).
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S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

Gao, C.

S. Fu, S. Zhang, and C. Gao, “Bessel beams with spatial oscillating polarization,” Sci. Rep. 6, 30765 (2016).
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Gao, H.

Gao, X.

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
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Gatto, A.

Gong, L.

M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

Grosche, S.

Gu, B.

B. Gu, B. Wen, G. Rui, Y. Xue, Q. Zhan, and Y. Cui, “Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media,” Opt. Lett. 41, 1566–1569 (2016).
[Crossref]

B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
[Crossref]

Gu, C.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
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Guo, C.

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
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Guo, X.

Guodong, X.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
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G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, “Observation of the Larmor and Gouy rotations with electron vortex beams,” Phys. Rev. Lett. 110, 093601 (2013).
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R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
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Han, L.

Hu, W.

B. Wei, S. Qi, S. Liu, P. Li, Y. Zhang, L. Han, J. Zhong, W. Hu, Y. Lu, and J. Zhao, “Auto-transition of vortex- to vector-Airy beams via liquid crystal q-Airy-plates,” Opt. Express 27, 18848–18857 (2019).
[Crossref]

S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

Huang, H.

Iturbe-Castillo, M. D.

Jacquiline, R.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Karimi, E.

Ke, Y.

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, 023801 (2015).
[Crossref]

Kumar, V.

Lavery, M. P. J.

Leuchs, G.

Li, D.

M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

Li, F.

Li, J.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

Li, P.

Li, S.

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
[Crossref]

Li, Y.

P. Li, D. Wu, Y. Zhang, S. Liu, Y. Li, S. Qi, and J. Zhao, “Polarization oscillating beams constructed by copropagating optical frozen waves,” Photon. Res. 6, 756–761 (2018).
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J. Wang, X. Yang, Y. Li, Y. Chen, M. Cao, D. Wei, H. Gao, and F. Li, “Optically spatial information selection with hybridly polarized beam in atomic vapor,” Photon. Res. 6, 451–456 (2018).
[Crossref]

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
[Crossref]

M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
[Crossref]

Li, Z.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

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, 023801 (2015).
[Crossref]

Liu, S.

Liu, X. X.

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
[Crossref]

Liu, Y.

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, 023801 (2015).
[Crossref]

Liu, Z.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

Lorenzo, M.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Lu, Y.

B. Wei, S. Qi, S. Liu, P. Li, Y. Zhang, L. Han, J. Zhong, W. Hu, Y. Lu, and J. Zhao, “Auto-transition of vortex- to vector-Airy beams via liquid crystal q-Airy-plates,” Opt. Express 27, 18848–18857 (2019).
[Crossref]

S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

Luo, H.

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, 023801 (2015).
[Crossref]

Ma, C.

Mark, B.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Marrucci, L.

Martel, G.

Z. Derrar Kaddour, A. Taleb, K. Ait-Ameur, and G. Martel, “Revisiting Gouy phase,” Opt. Commun. 280, 256–263 (2007).
[Crossref]

Martelli, P.

Martinelli, M.

Masud, M.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Mendoza-Hernández, J.

Miles, P.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Milione, G.

Moneta, G.

Monika, R.-M.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Moreno, I.

Morgan, M. J.

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

Natalia, M. L.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Neugebauer, M.

Nguyen, T. A.

Nicholas, P. B.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Nolan, D. A.

Nori, F.

G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, “Observation of the Larmor and Gouy rotations with electron vortex beams,” Phys. Rev. Lett. 110, 093601 (2013).
[Crossref]

Paganin, D. M.

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

Pan, Y.

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
[Crossref]

B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
[Crossref]

Peter, B.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Petersen, T. C.

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

Philip, G. M.

Plum, E.

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
[Crossref]

Qi, S.

Ren, Y.

Reuven, G.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Robert, F.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Rop, R.

C. Schulze, F. S. Roux, A. Dudley, R. Rop, M. Duparré, and A. Forbes, “Accelerated rotation with orbital angular momentum modes,” Phys. Rev. A 91, 043821 (2015).
[Crossref]

Rosales-Guzmán, C.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Rothau, S.

Roux, F. S.

C. Schulze, F. S. Roux, A. Dudley, R. Rop, M. Duparré, and A. Forbes, “Accelerated rotation with orbital angular momentum modes,” Phys. Rev. A 91, 043821 (2015).
[Crossref]

Rubinowicz, A.

A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev. 54, 931–936 (1938).
[Crossref]

Rui, G.

B. Gu, B. Wen, G. Rui, Y. Xue, Q. Zhan, and Y. Cui, “Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media,” Opt. Lett. 41, 1566–1569 (2016).
[Crossref]

B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
[Crossref]

Sánchez-López, M. M.

Santamato, E.

Schattschneider, P.

G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, “Observation of the Larmor and Gouy rotations with electron vortex beams,” Phys. Rev. Lett. 110, 093601 (2013).
[Crossref]

Schulze, C.

C. Schulze, F. S. Roux, A. Dudley, R. Rop, M. Duparré, and A. Forbes, “Accelerated rotation with orbital angular momentum modes,” Phys. Rev. A 91, 043821 (2015).
[Crossref]

Simula, T. P.

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

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, 8185–8189 (1992).
[Crossref]

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, 053601 (2011).
[Crossref]

Tacca, M.

Taleb, A.

Z. Derrar Kaddour, A. Taleb, K. Ait-Ameur, and G. Martel, “Revisiting Gouy phase,” Opt. Commun. 280, 256–263 (2007).
[Crossref]

Tang, C.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

Thomas, B.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Tian, J.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
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Torres, J. P.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
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Tovar, A. A.

Tsai, D. P.

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
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Tu, C.

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
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Tyler, W. N.

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

Verbeeck, J.

G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, “Observation of the Larmor and Gouy rotations with electron vortex beams,” Phys. Rev. Lett. 110, 093601 (2013).
[Crossref]

Viswanathan, N. K.

Wang, D.

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
[Crossref]

Wang, H.

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
[Crossref]

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
[Crossref]

Wang, J.

Wang, X.

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
[Crossref]

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M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

Wei, B.

B. Wei, S. Qi, S. Liu, P. Li, Y. Zhang, L. Han, J. Zhong, W. Hu, Y. Lu, and J. Zhao, “Auto-transition of vortex- to vector-Airy beams via liquid crystal q-Airy-plates,” Opt. Express 27, 18848–18857 (2019).
[Crossref]

S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

Wei, D.

Wen, B.

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, 023801 (2015).
[Crossref]

Weyland, M.

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

Willner, A. E.

Winful, H. G.

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, 8185–8189 (1992).
[Crossref]

Wu, D.

Xie, G.

Xu, D.

B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
[Crossref]

Xue, Y.

Yang, X.

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, 023801 (2015).
[Crossref]

Yu, F.

Yu, P.

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

Zhan, Q.

B. Gu, B. Wen, G. Rui, Y. Xue, Q. Zhan, and Y. Cui, “Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media,” Opt. Lett. 41, 1566–1569 (2016).
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B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
[Crossref]

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

Zhang, P.

S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

Zhang, S.

S. Fu, S. Zhang, and C. Gao, “Bessel beams with spatial oscillating polarization,” Sci. Rep. 6, 30765 (2016).
[Crossref]

Zhang, Y.

Zhao, J.

Zheludev, N. I.

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
[Crossref]

Zhong, J.

Zhong, M.

M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

Zhou, J.

M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

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, 023801 (2015).
[Crossref]

Adv. Opt. Photonics (1)

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

Appl. Phys. B (1)

B. Gu, Y. Pan, G. Rui, D. Xu, Q. Zhan, and Y. Cui, “Polarization evolution characteristics of focused hybridly polarized vector fields,” Appl. Phys. B 117, 915–926 (2014).
[Crossref]

Appl. Phys. Lett. (1)

M. Zhong, L. Gong, D. Li, J. Zhou, Z. Wang, and Y. Li, “Optical trapping of core-shell magnetic microparticles by cylindrical vector beams,” Appl. Phys. Lett. 105, 181112 (2014).
[Crossref]

J. Opt. (1)

R. D. Halina, F. Andrew, M. V. Berry, M. R. Dennis, L. A. David, M. Masud, D. Cornelia, A. Christina, B. Peter, B. Thomas, K. Ebrahim, M. Lorenzo, P. Miles, R.-M. Monika, M. L. Natalia, P. B. Nicholas, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, W. N. Tyler, B. Mark, G. Reuven, B. S. Alexander, R. Jacquiline, G. W. Andrew, F. Robert, E. W. Alan, X. Guodong, M. Benjamin, and M. W. Andrew, “Roadmap on structured light,” J. Opt. 19, 013001 (2017).
[Crossref]

J. Opt. Soc. Am. A (1)

Laser Photonics Rev. (1)

M. Duocastella and C. B. Arnold, “Bessel and annular beams for materials processing,” Laser Photonics Rev. 6, 607–621 (2012).
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Light Sci. Appl. (1)

P. Yu, J. Li, C. Tang, H. Cheng, Z. Liu, Z. Li, Z. Liu, C. Gu, J. Li, S. Chen, and J. Tian, “Controllable optical activity with non-chiral plasmonic metasurfaces,” Light Sci. Appl. 5, e16096 (2016).
[Crossref]

Opt. Commun. (1)

Z. Derrar Kaddour, A. Taleb, K. Ait-Ameur, and G. Martel, “Revisiting Gouy phase,” Opt. Commun. 280, 256–263 (2007).
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Opt. Express (7)

Opt. Lett. (10)

G. M. Philip, V. Kumar, G. Milione, and N. K. Viswanathan, “Manifestation of the Gouy phase in vector-vortex beams,” Opt. Lett. 37, 2667–2669 (2012).
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G. Milione, M. P. J. Lavery, H. Huang, Y. Ren, G. Xie, T. A. Nguyen, E. Karimi, L. Marrucci, D. A. Nolan, R. R. Alfano, and A. E. Willner, “4×20 Gbit/s mode division multiplexing over free space using vector modes and a q-plate mode (de)multiplexer,” Opt. Lett. 40, 1980–1983 (2015).
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J. Mendoza-Hernández, M. L. Arroyo-Carrasco, M. D. Iturbe-Castillo, and S. Chávez-Cerda, “Laguerre–Gauss beams versus Bessel beams showdown: peer comparison,” Opt. Lett. 40, 3739–3742 (2015).
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I. Moreno, J. A. Davis, M. M. Sánchez-López, K. Badham, and D. M. Cottrell, “Nondiffracting Bessel beams with polarization state that varies with propagation distance,” Opt. Lett. 40, 5451–5454 (2015).
[Crossref]

B. Gu, B. Wen, G. Rui, Y. Xue, Q. Zhan, and Y. Cui, “Varying polarization and spin angular momentum flux of radially polarized beams by anisotropic Kerr media,” Opt. Lett. 41, 1566–1569 (2016).
[Crossref]

P. Li, Y. Zhang, S. Liu, C. Ma, L. Han, H. Cheng, and J. Zhao, “Generation of perfect vectorial vortex beams,” Opt. Lett. 41, 2205–2208 (2016).
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J. A. Davis, I. Moreno, K. Badham, M. M. Sánchez-López, and D. M. Cottrell, “Nondiffracting vector beams where the charge and the polarization state vary with propagation distance,” Opt. Lett. 41, 2270–2273 (2016).
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M. Neugebauer, S. Grosche, S. Rothau, G. Leuchs, and P. Banzer, “Lateral spin transport in paraxial beams of light,” Opt. Lett. 41, 3499–3502 (2016).
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P. Li, Y. Zhang, S. Liu, L. Han, H. Cheng, F. Yu, and J. Zhao, “Quasi-Bessel beams with longitudinally varying polarization state generated by employing spectrum engineering,” Opt. Lett. 41, 4811–4814 (2016).
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S. Feng and H. G. Winful, “Physical origin of the Gouy phase shift,” Opt. Lett. 26, 485–487 (2001).
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Photon. Res. (2)

Phys. Rev. (1)

A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev. 54, 931–936 (1938).
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Phys. Rev. A (6)

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, 023801 (2015).
[Crossref]

T. C. Petersen, D. M. Paganin, M. Weyland, T. P. Simula, S. A. Eastwood, and M. J. Morgan, “Unifying interpretations of the Gouy phase anomaly for electron waves,” Phys. Rev. A 89, 063801 (2014).
[Crossref]

R. Ducharme and I. G. da Paz, “Gouy phase for relativistic quantum particles,” Phys. Rev. A 92, 023853 (2015).
[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, 8185–8189 (1992).
[Crossref]

X. Gao, Y. Pan, S. Li, D. Wang, Y. Li, C. Tu, and H. Wang, “Vector optical fields broken in the spatial frequency domain,” Phys. Rev. A 93, 033834 (2016).
[Crossref]

C. Schulze, F. S. Roux, A. Dudley, R. Rop, M. Duparré, and A. Forbes, “Accelerated rotation with orbital angular momentum modes,” Phys. Rev. A 91, 043821 (2015).
[Crossref]

Phys. Rev. Lett. (4)

E. Plum, X. X. Liu, V. A. Fedotov, Y. Chen, D. P. Tsai, and N. I. Zheludev, “Metamaterials: optical activity without chirality,” Phys. Rev. Lett. 102, 113902 (2009).
[Crossref]

X. Wang, J. Chen, Y. Li, J. Ding, C. Guo, and H. Wang, “Optical orbital angular momentum from the curl of polarization,” Phys. Rev. Lett. 105, 253602 (2010).
[Crossref]

G. Guzzinati, P. Schattschneider, K. Y. Bliokh, F. Nori, and J. Verbeeck, “Observation of the Larmor and Gouy rotations with electron vortex beams,” Phys. Rev. Lett. 110, 093601 (2013).
[Crossref]

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

Sci. Rep. (1)

S. Fu, S. Zhang, and C. Gao, “Bessel beams with spatial oscillating polarization,” Sci. Rep. 6, 30765 (2016).
[Crossref]

Other (1)

S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, and J. Zhao, “Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light,” arXiv:1908.10008 (2019).

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Figures (6)

Fig. 1.
Fig. 1. Comparison of intensity distributions of higher-radial-order LG beams and their corresponding Bessel beams. (a), (b) l=0, p=15. (c), (d) l=1, p=15. (e), (f) Comparisons of intensity distributions of the LG (blue lines) and Bessel (red lines) beams along the radial direction. The dotted black lines in (e) and (f) depict the similarity of intensity profiles.
Fig. 2.
Fig. 2. (a), (b) Gouy phases of Bessel and LG beams with different transverse parameters, respectively. (c) Canonical Poincaré sphere. (d) Gouy phase difference between LG150 beam and its corresponding zeroth-order Bessel beam versus propagation distance. (e) Gouy phase-induced self-accelerated OA of zeroth-order superimposed beam.
Fig. 3.
Fig. 3. Experimental setup. HWP, half-wave plate; BS, beam splitter; PBS, polarized beam splitter; SLM, spatial light modulator; QWP, quarter-wave plate; L, lens; F, filter; M, mirror; P, polarizer. Insets: computer-generated holograms.
Fig. 4.
Fig. 4. Self-accelerated OA of a scalar (zeroth-order) quasi-non-diffracting beam. (a) 3D intensity profile of light field composed by an LG150 component and a corresponding Bessel component. (b) Intensity distributions of total field, horizontal, and vertical components at the z0, z1, and z2 planes. The white arrows denote the orientation of polarizer. (c) Upper graph: comparison of theoretically calculated (blue curve) and measured (red squares) polarization orientations; below graph: measured polarization ellipticities. Both are the measured results on the axis.
Fig. 5.
Fig. 5. Self-accelerated OA of vector non-diffracting beams. (a) Higher-order Poincaré sphere composed by two kinds of quasi-non-diffracting components carrying OAMs. Insets: |R+1 and |L+1, intensity and phase distributions; |H+1, |A+1, |V+1, and |D+1, polarization orientation distributions of four typical vector modes on the equator. (b) Schematic polarization transformation of vector non-diffracting beam and the corresponding rotation of petal-like intensity (horizonal component Ix). Arrows: local polarization orientations. (c) Correlation of rotation angular parameters and spatial mode indices. (d) Calculated intensity distribution in the yz plane. (e), (f) Measured intensity distributions of the total and diagonal components at the z1 and z2 planes.
Fig. 6.
Fig. 6. Self-accelerated OA of different vector quasi-non-diffracting beams. Backgrounds: intensity distributions of the vertical component; white lines and values denote the theoretical rotation angles.

Equations (8)

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

ELG(r,φ,z)=2p!π(p+|l|)!1w(z)[2rw(z)]|l|Lp|l|[2r2w2(z)]·exp[r2w2(z)]exp[ikr22R(z)]·exp(iΦ)exp(ilφ)exp(ikz),
exp[r2w2(z)][2rw(z)]|l|Lp|l|[2r2w2(z)]Γ(p+|l|+1)p!N|l|/2Jl[22Nrw(z)],
ELG(r,φ,z)Jl[kr(p,l)r]exp[ikr22R(z)]·exp(iΦ)exp(ilφ)exp(ikz),
ΔΦ(z)=(kk2kr2)z(2p+|l|+1)arctan(zzR).
ω=zθ(z)=(kk2kr2)/2NzRzR2+z2,
β=zω(z)=2NzRz(zR2+z2)2.
θ=12|m|[(kk2kr2)z2Narctan(zzR)].
ω=12|m|[(kk2kr2)2NzRzR2+z2],β=2NzRz|m|(zR2+z2)2.