Abstract

We report the first study on the optical force exerted by an evanescent wave on a small sphere with both electric and magnetic responses to the incident field, immersed in an arbitrary nondissipative medium. New expressions and effects from their gradient, radiation pressure, and curl components are obtained owing to the particle induced electric and magnetic dipoles, as well as to their mutual interaction. We predict possible dramatic changes in the force depending on the host medium, the polarization, and the nature of the surface wave.

© 2010 Optical Society of America

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  1. P. C. Chaumet and A. Rahmani, Opt. Express 17, 2224 (2009).
    [CrossRef] [PubMed]
  2. M. Nieto-Vesperinas, J. J. Saenz, R. Gomez-Medina, and L. Chantada, Opt. Express 18, 11428 (2010).
    [CrossRef] [PubMed]
  3. L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge U. Press, 2006).
  4. P. C. Chaumet and M. Nieto-Vesperinas, Opt. Lett. 25, 1065 (2000).
    [CrossRef]
  5. P. C. Chaumet and M. Nieto-Vesperinas, Phys. Rev. B 62, 11185 (2000).
    [CrossRef]
  6. M. Nieto-Vesperinas, P. C. Chaumet, and A. Rahmani, Phil. Trans. R. Soc. Lond. A 362, 719 (2004).
    [CrossRef]
  7. A. S. Zelenina, R. Quidant, and M. Nieto-Vesperinas, Opt. Lett. 32, 1156 (2007).
    [CrossRef] [PubMed]
  8. J. C. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nature Phys. 3477 (2007).
    [CrossRef]
  9. S. Kawata and T. Sugiura, Opt. Lett. 17, 772 (1992).
    [CrossRef] [PubMed]
  10. L. Novotny, R. X. Bian, and X. S. Xie, Phys. Rev. Lett. 79, 645 (1997).
    [CrossRef]
  11. Y. G. Song, B. M. Han, and S. Chang, Opt. Commun. 198, 7 (2001).
    [CrossRef]
  12. G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Phys. Rev. Lett. 96, 238101 (2006).
    [CrossRef] [PubMed]
  13. J. R. Arias-Gonzalez and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 20, 1201 (2003).
    [CrossRef]
  14. S. Albaladejo, M. I. Marques, M. Laroche, and J. J. Saenz, Phys. Rev. Lett. 102, 113602 (2009).
    [CrossRef] [PubMed]
  15. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).
  16. M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics, 2nd ed. (World Scientific, 2006).
  17. A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.
  18. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley, 1998).
    [CrossRef]
  19. B. T. Draine, Astrophys. J. 333,848 (1988).
    [CrossRef]
  20. V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
    [CrossRef]
  21. E. Kretschmann, Z. Phys. 241, 313 (1971).
    [CrossRef]
  22. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings., Springer Tracts in Modern Physics 111 (Springer-Verlag, 1988).
  23. S. A. Darmanyan, M. Neviere, and A. A. Zakhidov, Opt. Commun. 225, 233 (2003).
    [CrossRef]

2010 (1)

2009 (2)

P. C. Chaumet and A. Rahmani, Opt. Express 17, 2224 (2009).
[CrossRef] [PubMed]

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

2007 (2)

A. S. Zelenina, R. Quidant, and M. Nieto-Vesperinas, Opt. Lett. 32, 1156 (2007).
[CrossRef] [PubMed]

J. C. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nature Phys. 3477 (2007).
[CrossRef]

2006 (1)

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Phys. Rev. Lett. 96, 238101 (2006).
[CrossRef] [PubMed]

2004 (1)

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

2003 (2)

S. A. Darmanyan, M. Neviere, and A. A. Zakhidov, Opt. Commun. 225, 233 (2003).
[CrossRef]

J. R. Arias-Gonzalez and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 20, 1201 (2003).
[CrossRef]

2001 (1)

Y. G. Song, B. M. Han, and S. Chang, Opt. Commun. 198, 7 (2001).
[CrossRef]

2000 (2)

P. C. Chaumet and M. Nieto-Vesperinas, Phys. Rev. B 62, 11185 (2000).
[CrossRef]

P. C. Chaumet and M. Nieto-Vesperinas, Opt. Lett. 25, 1065 (2000).
[CrossRef]

1997 (1)

L. Novotny, R. X. Bian, and X. S. Xie, Phys. Rev. Lett. 79, 645 (1997).
[CrossRef]

1992 (1)

1988 (1)

B. T. Draine, Astrophys. J. 333,848 (1988).
[CrossRef]

1971 (1)

E. Kretschmann, Z. Phys. 241, 313 (1971).
[CrossRef]

1968 (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Aizpurua, J.

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Albaladejo, S.

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

Arias-Gonzalez, J. R.

Badenes, G.

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Phys. Rev. Lett. 96, 238101 (2006).
[CrossRef] [PubMed]

Bian, R. X.

L. Novotny, R. X. Bian, and X. S. Xie, Phys. Rev. Lett. 79, 645 (1997).
[CrossRef]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley, 1998).
[CrossRef]

Chang, S.

Y. G. Song, B. M. Han, and S. Chang, Opt. Commun. 198, 7 (2001).
[CrossRef]

Chantada, L.

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

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Chaumet, P. C.

P. C. Chaumet and A. Rahmani, Opt. Express 17, 2224 (2009).
[CrossRef] [PubMed]

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

P. C. Chaumet and M. Nieto-Vesperinas, Phys. Rev. B 62, 11185 (2000).
[CrossRef]

P. C. Chaumet and M. Nieto-Vesperinas, Opt. Lett. 25, 1065 (2000).
[CrossRef]

Darmanyan, S. A.

S. A. Darmanyan, M. Neviere, and A. A. Zakhidov, Opt. Commun. 225, 233 (2003).
[CrossRef]

Draine, B. T.

B. T. Draine, Astrophys. J. 333,848 (1988).
[CrossRef]

Froufe-Perez, L. S.

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

García-Etxarri, A.

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Girard, C.

J. C. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nature Phys. 3477 (2007).
[CrossRef]

Gomez-Medina, R.

Gómez-Medina, R.

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Han, B. M.

Y. G. Song, B. M. Han, and S. Chang, Opt. Commun. 198, 7 (2001).
[CrossRef]

Hecht, B.

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

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley, 1998).
[CrossRef]

Kawata, S.

Kretschmann, E.

E. Kretschmann, Z. Phys. 241, 313 (1971).
[CrossRef]

Laroche, M.

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

Lopez, C.

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

Marques, M. I.

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

Neviere, M.

S. A. Darmanyan, M. Neviere, and A. A. Zakhidov, Opt. Commun. 225, 233 (2003).
[CrossRef]

Nieto-Vesperinas, M.

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

A. S. Zelenina, R. Quidant, and M. Nieto-Vesperinas, Opt. Lett. 32, 1156 (2007).
[CrossRef] [PubMed]

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

J. R. Arias-Gonzalez and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 20, 1201 (2003).
[CrossRef]

P. C. Chaumet and M. Nieto-Vesperinas, Opt. Lett. 25, 1065 (2000).
[CrossRef]

P. C. Chaumet and M. Nieto-Vesperinas, Phys. Rev. B 62, 11185 (2000).
[CrossRef]

M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics, 2nd ed. (World Scientific, 2006).

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Novotny, L.

L. Novotny, R. X. Bian, and X. S. Xie, Phys. Rev. Lett. 79, 645 (1997).
[CrossRef]

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

Petrov, D.

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Phys. Rev. Lett. 96, 238101 (2006).
[CrossRef] [PubMed]

Quidant, R.

J. C. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nature Phys. 3477 (2007).
[CrossRef]

A. S. Zelenina, R. Quidant, and M. Nieto-Vesperinas, Opt. Lett. 32, 1156 (2007).
[CrossRef] [PubMed]

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Phys. Rev. Lett. 96, 238101 (2006).
[CrossRef] [PubMed]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings., Springer Tracts in Modern Physics 111 (Springer-Verlag, 1988).

Rahmani, A.

P. C. Chaumet and A. Rahmani, Opt. Express 17, 2224 (2009).
[CrossRef] [PubMed]

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

Righini, J. C.

J. C. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nature Phys. 3477 (2007).
[CrossRef]

Saenz, J. J.

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

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

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Scheffold, F.

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

Song, Y. G.

Y. G. Song, B. M. Han, and S. Chang, Opt. Commun. 198, 7 (2001).
[CrossRef]

Sugiura, T.

Veselago, V. G.

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Volpe, G.

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Phys. Rev. Lett. 96, 238101 (2006).
[CrossRef] [PubMed]

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

Xie, X. S.

L. Novotny, R. X. Bian, and X. S. Xie, Phys. Rev. Lett. 79, 645 (1997).
[CrossRef]

Zakhidov, A. A.

S. A. Darmanyan, M. Neviere, and A. A. Zakhidov, Opt. Commun. 225, 233 (2003).
[CrossRef]

Zelenina, A. S.

J. C. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nature Phys. 3477 (2007).
[CrossRef]

A. S. Zelenina, R. Quidant, and M. Nieto-Vesperinas, Opt. Lett. 32, 1156 (2007).
[CrossRef] [PubMed]

Astrophys. J. (1)

B. T. Draine, Astrophys. J. 333,848 (1988).
[CrossRef]

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

Nature Phys. (1)

J. C. Righini, A. S. Zelenina, C. Girard, and R. Quidant, Nature Phys. 3477 (2007).
[CrossRef]

Opt. Commun. (2)

S. A. Darmanyan, M. Neviere, and A. A. Zakhidov, Opt. Commun. 225, 233 (2003).
[CrossRef]

Y. G. Song, B. M. Han, and S. Chang, Opt. Commun. 198, 7 (2001).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

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

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

Phys. Rev. B (1)

P. C. Chaumet and M. Nieto-Vesperinas, Phys. Rev. B 62, 11185 (2000).
[CrossRef]

Phys. Rev. Lett. (3)

L. Novotny, R. X. Bian, and X. S. Xie, Phys. Rev. Lett. 79, 645 (1997).
[CrossRef]

G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Phys. Rev. Lett. 96, 238101 (2006).
[CrossRef] [PubMed]

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

Sov. Phys. Usp. (1)

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Z. Phys. (1)

E. Kretschmann, Z. Phys. 241, 313 (1971).
[CrossRef]

Other (6)

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings., Springer Tracts in Modern Physics 111 (Springer-Verlag, 1988).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics, 2nd ed. (World Scientific, 2006).

A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Perez, C. Lopez, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Saenz, arXiv:1005.5446v1.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley, 1998).
[CrossRef]

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

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Figures (1)

Fig. 1
Fig. 1

TIR: with reference to Eqs. (1, 2, 5, 6), F s ( x ) denotes the force component factor: | T | 2 ; F p ( x ) means the same for the factor: | T | 2 ( 2 K 2 k 2 1 ) ; T p ( x ) stands for | T | 2 , Ratio ( x ) = F p ( x ) / F s ( x ) , p ( x ) = 2 K 2 k 2 1 . theta ( x ) is the angle of incidence in degrees, θ i , from the denser medium of relative index n = 2.58 in Z < 0 (see inset geometry).

Equations (9)

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

E ( i ) ( K ) = ( i q k T , T , K k T ) exp ( i K x q z ) , B ( i ) ( K ) = n ( i q k T , T , K k T ) exp ( i K x q z ) .
F e x = α e 2 K exp ( 2 q z ) [ | T | 2 + | T | 2 ( 2 K 2 k 2 1 ) ] ,
F e z = α e 2 q exp ( 2 q z ) [ | T | 2 + | T | 2 ( 2 K 2 k 2 1 ) ] ,
F m x = n 2 α m 2 K exp ( 2 q z ) [ | T | 2 + | T | 2 ( 2 K 2 k 2 1 ) ] ,
F m z = n 2 α m 2 q exp ( 2 q z ) [ | T | 2 + | T | 2 ( 2 K 2 k 2 1 ) ] ,
F e m x = k 4 3 μ ϵ 1 k ( α e α m * ) K exp ( 2 q z ) [ | T | 2 + | T | 2 ( 2 K 2 k 2 1 ) ] ,
F e m z = k 4 3 μ ϵ 1 k ( α e α m * ) q exp ( 2 q z ) [ | T | 2 + | T | 2 ( 2 K 2 k 2 1 ) ] .
F x = K 2 exp ( 2 q z ) k 3 a 6 ϵ { | T | 2 [ 2 3 + 1 6 ( 2 K 2 k 2 1 ) + 1 3 ] + | T | 2 [ 2 3 ( 2 K 2 k 2 1 ) + 1 6 + 1 3 ( 2 K 2 k 2 1 ) ] } ,
F z = q 2 exp ( 2 q z ) a 3 ϵ { | T | 2 [ 1 1 2 ( 2 K 2 k 2 1 ) ] + | T | 2 [ ( 2 K 2 k 2 1 ) 1 2 ] } .

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