Abstract

We calculate the spin, intrinsic and extrinsic orbital angular momenta, as well as the barycenter of the focal field after a high-NA lens and find that, when the input beam is with nonuniform angular momentum (AM), the focal field carries both longitudinal and transverse parts of AM and the barycenter of the field has a transverse shift owing to the spin and orbital Hall effect of light. When one half of the input beam possesses spin and orbital AM, σ and l, and the other half with -σ and -l, a pure transverse AM is generated in the focal field, accompanying a shift of the field barycenter in the transverse plane that depends on σ and l.

© 2014 Optical Society of America

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2013 (3)

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

H. Shpaisman, D. B. Ruffner, and D. G. Grier, Appl. Phys. Lett. 102, 071103 (2013).
[CrossRef]

W. Zhu and W. She, Opt. Express 21, 17265 (2013).
[CrossRef]

2012 (4)

W. Zhu and W. She, Opt. Express 20, 25876 (2012).
[CrossRef]

L. Kong, S. Qian, Z.-C. Ren, X. Wang, and H. Wang, Phys. Rev. A 85, 035804 (2012).
[CrossRef]

Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 053822 (2012).
[CrossRef]

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[CrossRef]

2011 (6)

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

V. G. Fedoseyev, J. Opt. 13, 064025 (2011).
[CrossRef]

A. Bekshaev, K. Bliokh, and M. Soskin, J. Opt. 13, 053001 (2011).
[CrossRef]

M. Mansuripur, Phys. Rev. A 84, 033838 (2011).
[CrossRef]

R. Dasgupta, S. Ahlawat, R. S. Verma, and P. K. Gupta, Opt. Express 19, 7680 (2011).
[CrossRef]

A. M. Yao and M. J. Padgett, Adv. Opt. Photon. 3, 161 (2011).
[CrossRef]

2010 (4)

P. Banzer, U. Peschel, S. Quabis, and G. Leuchs, Opt. Express 18, 10905 (2010).
[CrossRef]

Y. Qin, Y. Li, X. B. Feng, Z. P. Liu, H. Y. He, Y. F. Xiao, and Q. H. Gong, Opt. Express 18, 16832 (2010).
[CrossRef]

M. Merano, N. Hermosa, and J. P. Woerdman, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, Phys. Rev. A 82, 063825 (2010).
[CrossRef]

2009 (4)

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

C.-F. Li, Phys. Rev. A 80, 063814 (2009).
[CrossRef]

A. Aiello, N. Lindlein, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 103, 100401 (2009).
[CrossRef]

Y. Qin, Y. Li, H. Y. He, and Q. H. Gong, Opt. Lett. 34, 2551 (2009).
[CrossRef]

2008 (1)

T. A. Nieminen, A. B. Stilgoe, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 10, 115005 (2008).
[CrossRef]

2007 (1)

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

2006 (1)

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

2001 (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef]

1997 (1)

1959 (1)

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

Ahlawat, S.

Aiello, A.

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, Phys. Rev. A 82, 063825 (2010).
[CrossRef]

A. Aiello, N. Lindlein, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 103, 100401 (2009).
[CrossRef]

Allen, L.

Alonso, M. A.

K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, Phys. Rev. A 82, 063825 (2010).
[CrossRef]

Banzer, P.

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

P. Banzer, U. Peschel, S. Quabis, and G. Leuchs, Opt. Express 18, 10905 (2010).
[CrossRef]

Bauer, T.

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

Bekshaev, A.

A. Bekshaev, K. Bliokh, and M. Soskin, J. Opt. 13, 053001 (2011).
[CrossRef]

Bliokh, K.

A. Bekshaev, K. Bliokh, and M. Soskin, J. Opt. 13, 053001 (2011).
[CrossRef]

Bliokh, K. Y.

K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, Phys. Rev. A 82, 063825 (2010).
[CrossRef]

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

Bliokh, Y. P.

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

Chiu, D. T.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Dasgupta, R.

Dholakia, K.

Edgar, J. S.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Fan, D. Y.

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Fedoseyev, V. G.

V. G. Fedoseyev, J. Opt. 13, 064025 (2011).
[CrossRef]

Feng, X. B.

Gabriel, C.

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

Gong, Q. H.

Grier, D. G.

H. Shpaisman, D. B. Ruffner, and D. G. Grier, Appl. Phys. Lett. 102, 071103 (2013).
[CrossRef]

Gupta, P. K.

He, H. Y.

Heckenberg, N. R.

T. A. Nieminen, A. B. Stilgoe, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 10, 115005 (2008).
[CrossRef]

Hermosa, N.

M. Merano, N. Hermosa, and J. P. Woerdman, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

Jeffries, G. D. M.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Kolb, T.

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

Kong, L.

L. Kong, S. Qian, Z.-C. Ren, X. Wang, and H. Wang, Phys. Rev. A 85, 035804 (2012).
[CrossRef]

Korger, J.

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

Leuchs, G.

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

P. Banzer, U. Peschel, S. Quabis, and G. Leuchs, Opt. Express 18, 10905 (2010).
[CrossRef]

A. Aiello, N. Lindlein, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 103, 100401 (2009).
[CrossRef]

Li, C.-F.

C.-F. Li, Phys. Rev. A 80, 063814 (2009).
[CrossRef]

Li, Y.

Lindlein, N.

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

A. Aiello, N. Lindlein, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 103, 100401 (2009).
[CrossRef]

Liu, Z. P.

Luo, H.

Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 053822 (2012).
[CrossRef]

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[CrossRef]

Luo, H. L.

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef]

Mansuripur, M.

M. Mansuripur, Phys. Rev. A 84, 033838 (2011).
[CrossRef]

Marquardt, C.

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

A. Aiello, N. Lindlein, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 103, 100401 (2009).
[CrossRef]

McGloin, D.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Merano, M.

M. Merano, N. Hermosa, and J. P. Woerdman, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

Neugebauer, M.

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

Nieminen, T. A.

T. A. Nieminen, A. B. Stilgoe, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 10, 115005 (2008).
[CrossRef]

Ostrovskaya, E. A.

K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, Phys. Rev. A 82, 063825 (2010).
[CrossRef]

Padgett, M. J.

Peschel, U.

Qian, S.

L. Kong, S. Qian, Z.-C. Ren, X. Wang, and H. Wang, Phys. Rev. A 85, 035804 (2012).
[CrossRef]

Qin, Y.

Quabis, S.

Ren, Z.-C.

L. Kong, S. Qian, Z.-C. Ren, X. Wang, and H. Wang, Phys. Rev. A 85, 035804 (2012).
[CrossRef]

Richards, B.

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

Rubinsztein-Dunlop, H.

T. A. Nieminen, A. B. Stilgoe, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 10, 115005 (2008).
[CrossRef]

Ruffner, D. B.

H. Shpaisman, D. B. Ruffner, and D. G. Grier, Appl. Phys. Lett. 102, 071103 (2013).
[CrossRef]

She, W.

Shpaisman, H.

H. Shpaisman, D. B. Ruffner, and D. G. Grier, Appl. Phys. Lett. 102, 071103 (2013).
[CrossRef]

Shu, W. X.

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Simpson, N. B.

Soskin, M.

A. Bekshaev, K. Bliokh, and M. Soskin, J. Opt. 13, 053001 (2011).
[CrossRef]

Stilgoe, A. B.

T. A. Nieminen, A. B. Stilgoe, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 10, 115005 (2008).
[CrossRef]

Tang, Z. X.

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef]

Verma, R. S.

Wang, H.

L. Kong, S. Qian, Z.-C. Ren, X. Wang, and H. Wang, Phys. Rev. A 85, 035804 (2012).
[CrossRef]

Wang, X.

L. Kong, S. Qian, Z.-C. Ren, X. Wang, and H. Wang, Phys. Rev. A 85, 035804 (2012).
[CrossRef]

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef]

Wen, S.

Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 053822 (2012).
[CrossRef]

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[CrossRef]

Wen, S. C.

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Woerdman, J. P.

M. Merano, N. Hermosa, and J. P. Woerdman, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

Wolf, E.

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

Xiao, Y. F.

Xiao, Z.

Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 053822 (2012).
[CrossRef]

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[CrossRef]

Yao, A. M.

Zeilinger, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef]

Zhao, Y.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Zhou, X.

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[CrossRef]

Zhu, W.

Zou, Y. H.

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Adv. Opt. Photon. (1)

Appl. Phys. B (1)

J. Korger, A. Aiello, C. Gabriel, P. Banzer, T. Kolb, C. Marquardt, and G. Leuchs, Appl. Phys. B 102, 427 (2011).
[CrossRef]

Appl. Phys. Lett. (1)

H. Shpaisman, D. B. Ruffner, and D. G. Grier, Appl. Phys. Lett. 102, 071103 (2013).
[CrossRef]

J. Opt. (2)

A. Bekshaev, K. Bliokh, and M. Soskin, J. Opt. 13, 053001 (2011).
[CrossRef]

V. G. Fedoseyev, J. Opt. 13, 064025 (2011).
[CrossRef]

J. Opt. A (1)

T. A. Nieminen, A. B. Stilgoe, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 10, 115005 (2008).
[CrossRef]

JEOS RP (1)

P. Banzer, M. Neugebauer, A. Aiello, C. Marquardt, N. Lindlein, T. Bauer, and G. Leuchs, JEOS RP 8, 13032 (2013).

Nature (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef]

Opt. Express (5)

Opt. Lett. (2)

Phys. Rev. A (8)

K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, Phys. Rev. A 82, 063825 (2010).
[CrossRef]

Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 053822 (2012).
[CrossRef]

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[CrossRef]

M. Mansuripur, Phys. Rev. A 84, 033838 (2011).
[CrossRef]

C.-F. Li, Phys. Rev. A 80, 063814 (2009).
[CrossRef]

L. Kong, S. Qian, Z.-C. Ren, X. Wang, and H. Wang, Phys. Rev. A 85, 035804 (2012).
[CrossRef]

H. L. Luo, S. C. Wen, W. X. Shu, Z. X. Tang, Y. H. Zou, and D. Y. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

M. Merano, N. Hermosa, and J. P. Woerdman, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

Phys. Rev. Lett. (3)

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

A. Aiello, N. Lindlein, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 103, 100401 (2009).
[CrossRef]

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Proc. R. Soc. London Ser. A (1)

B. Richards and E. Wolf, Proc. R. Soc. London Ser. A 253, 358 (1959).
[CrossRef]

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