Abstract

We experimentally and theoretically study the abrupt polarization transitions of vector autofocusing Airy beams associated with the spin–orbit interactions. It is shown that when the topological charges of the polarization and the attached spiral phase are equal in number, the local polarizations undergo an abrupt transition from linear to circular polarizations at the focal point, and the associated orbital angular momentum partially converts into the spin of photons. The experimental results are theoretically explained from the far-field properties of the beams in terms of Hankel transformations.

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2013 (1)

2012 (7)

2011 (3)

2010 (2)

N. K. Efremidis and D. N. Christodoulides, Opt. Lett. 35, 4045 (2010).
[CrossRef]

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

2009 (2)

2008 (2)

2007 (2)

G. Siviloglou, J. Broky, A. Dogariu, and D. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 73901 (2007).
[CrossRef]

2006 (1)

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

1992 (1)

L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Alkemade, P. F. A.

Allen, L.

L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Beijersbergen, M.

L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Brasselet, E.

Broky, J.

G. Siviloglou, J. Broky, A. Dogariu, and D. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Cannan, D.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Chen, J.

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Chen, Z.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

I. Chremmos, P. Zhang, J. Prakash, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, Opt. Lett. 36, 3675 (2011).
[CrossRef]

P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, Opt. Lett. 36, 2883 (2011).
[CrossRef]

Y. Hu, G. A. Siviloglou, P. Zhang, D. N. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), pp. 1–46.

Chimento, P. F.

Chiu, D. T.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 73901 (2007).
[CrossRef]

Chong, C. T.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Chremmos, I.

Christodoulides, D.

G. Siviloglou, J. Broky, A. Dogariu, and D. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Christodoulides, D. N.

Cottrell, D. M.

Davis, J. A.

Denisenko, V. G.

Desyatnikov, A. S.

Ding, J.

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Dogariu, A.

G. Siviloglou, J. Broky, A. Dogariu, and D. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Edgar, J. S.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 73901 (2007).
[CrossRef]

Efremidis, N. K.

Eliel, E. R.

Gan, X.

Guo, C. S.

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Hu, Y.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

Y. Hu, G. A. Siviloglou, P. Zhang, D. N. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), pp. 1–46.

Huang, K.

Izdebskaya, Y.

Jeffries, G. D. M.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 73901 (2007).
[CrossRef]

Jiang, Y.

Jiao, X.

Kivshar, Y. S.

Krolikowski, W.

Li, P.

Li, T.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

Li, Y.

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Liu, S.

Lu, X.

Lukyanchuk, B.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Marrucci, L.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

McGloin, D.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 73901 (2007).
[CrossRef]

Mills, M. S.

Minovich, A.

Morandotti, R.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Papazoglou, D. G.

Peng, T.

Prakash, J.

Salandrino, A.

Sand, D.

Sheppard, C.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Shi, L.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Shvedov, V.

Siviloglou, G.

G. Siviloglou, J. Broky, A. Dogariu, and D. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Siviloglou, G. A.

Y. Hu, G. A. Siviloglou, P. Zhang, D. N. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), pp. 1–46.

Soskin, M. S.

Spreeuw, R.

L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

t Hooft, G. W.

Tzortzakis, S.

Wang, H.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Wang, H. T.

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Wang, Q.

Wang, X. L.

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Woerdman, J.

L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Yin, X.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Zhan, Q.

Zhang, P.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, Opt. Lett. 36, 2883 (2011).
[CrossRef]

I. Chremmos, P. Zhang, J. Prakash, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, Opt. Lett. 36, 3675 (2011).
[CrossRef]

Y. Hu, G. A. Siviloglou, P. Zhang, D. N. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), pp. 1–46.

Zhang, W.

Zhang, X.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Zhang, Z.

Zhao, J.

Zhao, Y.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 73901 (2007).
[CrossRef]

Adv. Opt. Photon. (1)

Nat. Photonics (1)

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Opt. Express (4)

Opt. Lett. (9)

Phys. Rev. A (1)

L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Phys. Rev. Lett. (5)

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 73901 (2007).
[CrossRef]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

X. L. Wang, J. Chen, Y. Li, J. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

G. Siviloglou, J. Broky, A. Dogariu, and D. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Other (1)

Y. Hu, G. A. Siviloglou, P. Zhang, D. N. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), pp. 1–46.

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Figures (3)

Fig. 1.
Fig. 1.

(a) Experimental setup. RT, reversed telescope; λ/2 and λ/4, half- and quarter-wave plates; M, mirror; PBS, polarizing beam splitter; PSLM, phase spatial light modulator; L, lens; F, filter. The insets depict the CGH (top right) and the corresponding Fourier spectra (bottom left) with the aperture filter marked by a dashed circle. (b)–(d) Intensity patterns of the AAB as generated (b) and after passing polarizers (c) and (d). The arrowheads in (b) indicate the polarization direction.

Fig. 2.
Fig. 2.

Autofocusing of radially polarized AABs without (top) and with (bottom) a single charged spiral phase. (a) and (c) depict the beam intensity patterns at input and output, respectively; (b) side view of the beam propagation from numerical simulation; and (d) measured beam polarizations at output.

Fig. 3.
Fig. 3.

Analysis of left- and right-handed polarized components of vector AABs. Left: total intensity distributions of the focal field. Right: intensity distributions of components. (a) l=1, m=2; (b) l=m=1; and (c) l=m=5.

Equations (4)

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

E(r)=E0(r)[cos(mφ+φ0)x^+sin(mφ+φ0)y^],
t(x,y)|E0(r)+2cos(fy)exp(i[fx+(l+m)φ+φ0])|2,
E(r)=E0(r){ei[(ml)φ+φ0]L^+ei[(m+l)φ+φ0]R^}/2,
U(r,φ,z)ei(lm)φiφ0Hlm(kr/z)L^+(1)mei(l+m)φ+iφ0Hl+m(kr/z)R^,

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