Abstract

We analyze the forces on a small dipolar particle and the electromagnetic momentum density in a configuration consisting in two perpendicular circularly polarized stationary waves. The field distribution shows regions in which the electric and magnetic fields are parallel corresponding to a null Poynting vector. Although the average value of the momentum density, proportional to the Poynting vector, is zero in these regions, there are scattering forces acting on small particles due to light’s spin force. The total scattering force suggests a new definition of the average value of the momentum density for free propagating electromagnetic fields.

© 2012 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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  21. A. Bekshaev, K. Y. Bliokh, and M. Soskin, J. Opt. 13, 053001 (2011).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  25. S. Albaladejo, M. I. Marqués, and J. J. Sáenz, Opt. Express 19, 11471 (2011).
    [CrossRef]

2012 (2)

2011 (8)

S. Albaladejo, M. I. Marqués, and J. J. Sáenz, Opt. Express 19, 11471 (2011).
[CrossRef]

A. Salandrino and D. N. Christodoulides, Opt. Lett. 36, 3103 (2011).
[CrossRef]

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

J. J. Sáenz, Nat. Photonics 5, 514 (2011).
[CrossRef]

A. Novitsky, C.-W. Qiu, and H. Wang, Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

S. Sukhov and A. Dogariu, Phys. Rev. Lett. 107, 203602 (2011).
[CrossRef]

I. Iglesias and J. J. Sáenz, Opt. Commun. 284, 2430 (2011).
[CrossRef]

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

2010 (2)

2009 (3)

S. Albaladejo, M. I. Marqués, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef]

S. Albaladejo, M. I. Marqués, F. Scheffold, and J. J. Sáenz, Nano Lett. 9, 3527 (2009).
[CrossRef]

I. Zapata, S. Albaladejo, J. M. R. Parrondo, J. J. Sáenz, and F. Sols, Phys. Rev. Lett. 103, 130601 (2009).
[CrossRef]

2006 (1)

V. Wong and M. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

2004 (3)

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

K. C. Neuman, and S. M. Block, Rev. Sci. Instrum. 75, 2787 (2004).
[CrossRef]

R. Gómez-Medina, and J. J. Sáenz, Phys. Rev. Lett. 93, 243602 (2004).
[CrossRef]

2003 (1)

D. G. Grier, Nature 424, 810 (2003).
[CrossRef]

1992 (1)

A. Hemmerich and T. W. Hänsch, Phys. Rev. Lett. 68, 1492 (1992).
[CrossRef]

1989 (1)

M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Phys. Rev. Lett. 63, 1233 (1989).
[CrossRef]

1986 (1)

1970 (1)

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

Albaladejo, S.

S. Albaladejo, M. I. Marqués, and J. J. Sáenz, Opt. Express 19, 11471 (2011).
[CrossRef]

S. Albaladejo, M. I. Marqués, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef]

I. Zapata, S. Albaladejo, J. M. R. Parrondo, J. J. Sáenz, and F. Sols, Phys. Rev. Lett. 103, 130601 (2009).
[CrossRef]

S. Albaladejo, M. I. Marqués, F. Scheffold, and J. J. Sáenz, Nano Lett. 9, 3527 (2009).
[CrossRef]

Ashkin, A.

Bekshaev, A.

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

Bjorkholm, J. E.

Bliokh, K. Y.

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

Block, S. M.

K. C. Neuman, and S. M. Block, Rev. Sci. Instrum. 75, 2787 (2004).
[CrossRef]

Burns, M. M.

M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Phys. Rev. Lett. 63, 1233 (1989).
[CrossRef]

Chan, C. T.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Chantada, L.

Chaumet, P. C.

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

Chen, J.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Christodoulides, D. N.

Chu, S.

Dholakia, K.

K. Dholakia and P. Zemánek, Rev. Mod. Phys. 82, 1767 (2010).
[CrossRef]

Dogariu, A.

S. Sukhov and A. Dogariu, Phys. Rev. Lett. 107, 203602 (2011).
[CrossRef]

Dziedzic, J. M.

Fournier, J.-M.

M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Phys. Rev. Lett. 63, 1233 (1989).
[CrossRef]

Golovchenko, J. A.

M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Phys. Rev. Lett. 63, 1233 (1989).
[CrossRef]

Gómez-Medina, R.

Grier, D. G.

D. G. Grier, Nature 424, 810 (2003).
[CrossRef]

Hänsch, T. W.

A. Hemmerich and T. W. Hänsch, Phys. Rev. Lett. 68, 1492 (1992).
[CrossRef]

Hecht, B.

L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge University, 2006).

Hemmerich, A.

A. Hemmerich and T. W. Hänsch, Phys. Rev. Lett. 68, 1492 (1992).
[CrossRef]

Iglesias, I.

I. Iglesias and J. J. Sáenz, Opt. Express 20, 2832 (2012).
[CrossRef]

I. Iglesias and J. J. Sáenz, Opt. Commun. 284, 2430 (2011).
[CrossRef]

Laroche, M.

S. Albaladejo, M. I. Marqués, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef]

Lin, Z.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Marqués, M. I.

S. Albaladejo, M. I. Marqués, and J. J. Sáenz, Opt. Express 19, 11471 (2011).
[CrossRef]

S. Albaladejo, M. I. Marqués, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef]

S. Albaladejo, M. I. Marqués, F. Scheffold, and J. J. Sáenz, Nano Lett. 9, 3527 (2009).
[CrossRef]

Neuman, K. C.

K. C. Neuman, and S. M. Block, Rev. Sci. Instrum. 75, 2787 (2004).
[CrossRef]

Ng, J.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Nieto-Vesperinas, M.

M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, Opt. Express 18, 11428 (2010).
[CrossRef]

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

Novitsky, A.

A. Novitsky, C.-W. Qiu, and H. Wang, Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

Novotny, L.

L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge University, 2006).

Parrondo, J. M. R.

I. Zapata, S. Albaladejo, J. M. R. Parrondo, J. J. Sáenz, and F. Sols, Phys. Rev. Lett. 103, 130601 (2009).
[CrossRef]

Qiu, C.-W.

A. Novitsky, C.-W. Qiu, and H. Wang, Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

Rahmani, A.

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

Ratner, M.

V. Wong and M. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

Sáenz, J. J.

I. Iglesias and J. J. Sáenz, Opt. Express 20, 2832 (2012).
[CrossRef]

J. J. Sáenz, Nat. Photonics 5, 514 (2011).
[CrossRef]

S. Albaladejo, M. I. Marqués, and J. J. Sáenz, Opt. Express 19, 11471 (2011).
[CrossRef]

I. Iglesias and J. J. Sáenz, Opt. Commun. 284, 2430 (2011).
[CrossRef]

M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, Opt. Express 18, 11428 (2010).
[CrossRef]

I. Zapata, S. Albaladejo, J. M. R. Parrondo, J. J. Sáenz, and F. Sols, Phys. Rev. Lett. 103, 130601 (2009).
[CrossRef]

S. Albaladejo, M. I. Marqués, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef]

S. Albaladejo, M. I. Marqués, F. Scheffold, and J. J. Sáenz, Nano Lett. 9, 3527 (2009).
[CrossRef]

R. Gómez-Medina, and J. J. Sáenz, Phys. Rev. Lett. 93, 243602 (2004).
[CrossRef]

Salandrino, A.

Scheffold, F.

S. Albaladejo, M. I. Marqués, F. Scheffold, and J. J. Sáenz, Nano Lett. 9, 3527 (2009).
[CrossRef]

Sols, F.

I. Zapata, S. Albaladejo, J. M. R. Parrondo, J. J. Sáenz, and F. Sols, Phys. Rev. Lett. 103, 130601 (2009).
[CrossRef]

Soskin, M.

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

Sukhov, S.

S. Sukhov and A. Dogariu, Phys. Rev. Lett. 107, 203602 (2011).
[CrossRef]

Wang, H.

A. Novitsky, C.-W. Qiu, and H. Wang, Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

Wong, V.

V. Wong and M. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

Zapata, I.

I. Zapata, S. Albaladejo, J. M. R. Parrondo, J. J. Sáenz, and F. Sols, Phys. Rev. Lett. 103, 130601 (2009).
[CrossRef]

Zemánek, P.

K. Dholakia and P. Zemánek, Rev. Mod. Phys. 82, 1767 (2010).
[CrossRef]

Zhan, Q.

J. Opt. (1)

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

Nano Lett. (1)

S. Albaladejo, M. I. Marqués, F. Scheffold, and J. J. Sáenz, Nano Lett. 9, 3527 (2009).
[CrossRef]

Nat. Photonics (2)

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

J. J. Sáenz, Nat. Photonics 5, 514 (2011).
[CrossRef]

Nature (1)

D. G. Grier, Nature 424, 810 (2003).
[CrossRef]

Opt. Commun. (1)

I. Iglesias and J. J. Sáenz, Opt. Commun. 284, 2430 (2011).
[CrossRef]

Opt. Express (4)

Opt. Lett. (2)

Phil. Trans. R. Soc. A (1)

M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. A 362, 719 (2004).
[CrossRef]

Phys. Rev. B (1)

V. Wong and M. Ratner, Phys. Rev. B 73, 075416 (2006).
[CrossRef]

Phys. Rev. Lett. (8)

S. Albaladejo, M. I. Marqués, M. Laroche, and J. J. Sáenz, Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef]

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

I. Zapata, S. Albaladejo, J. M. R. Parrondo, J. J. Sáenz, and F. Sols, Phys. Rev. Lett. 103, 130601 (2009).
[CrossRef]

A. Hemmerich and T. W. Hänsch, Phys. Rev. Lett. 68, 1492 (1992).
[CrossRef]

M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Phys. Rev. Lett. 63, 1233 (1989).
[CrossRef]

R. Gómez-Medina, and J. J. Sáenz, Phys. Rev. Lett. 93, 243602 (2004).
[CrossRef]

A. Novitsky, C.-W. Qiu, and H. Wang, Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

S. Sukhov and A. Dogariu, Phys. Rev. Lett. 107, 203602 (2011).
[CrossRef]

Rev. Mod. Phys. (1)

K. Dholakia and P. Zemánek, Rev. Mod. Phys. 82, 1767 (2010).
[CrossRef]

Rev. Sci. Instrum. (1)

K. C. Neuman, and S. M. Block, Rev. Sci. Instrum. 75, 2787 (2004).
[CrossRef]

Other (1)

L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge University, 2006).

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