Abstract

Nonconservative optical forces acting on dipolar particles are considered in longitudinally invariant optical fields. We demonstrate that the orientation of these forces is strictly dictated by the propagation vector associated with such field configurations. As a direct consequence of this, it is impossible to achieve a reversal of optical forces in homogeneous media. We show instead that translation invariant optical tractor fields can in fact be generated in the negative index environment produced in a special class of fully dielectric waveguide arrays.

© 2011 Optical Society of America

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2010 (4)

2009 (1)

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

2008 (1)

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

2007 (1)

2005 (1)

C. Kittel, Introduction to Solid State Physics, 8th ed.(Wiley, 2005).

2003 (1)

E. Cubukcu, K. Aydin, C. M. Ozbay, E. Foteinopoulou, and S. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

1991 (1)

R. E. Collin, Field Theory of Guided Waves, 2nd ed. (IEEE, 1991).

1987 (1)

J. Durnin, J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

1983 (1)

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

1970 (1)

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

1960 (1)

P. J. B. Clarricoats and R. A. Waldron, J. Electron. Control 8, 455 (1960).
[CrossRef]

1901 (2)

P. Lebedev, Ann. Phys. 311, 433 (1901).
[CrossRef]

E. F. Nichols and G. F. Hull, Phys. Rev. 13, 307 (1901).

Albaladejo, S.

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

Alù, A.

Ashkin, A.

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

Aydin, K.

E. Cubukcu, K. Aydin, C. M. Ozbay, E. Foteinopoulou, and S. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Bartal, G.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Christodoulides, D. N.

Clarricoats, P. J. B.

P. J. B. Clarricoats and R. A. Waldron, J. Electron. Control 8, 455 (1960).
[CrossRef]

Collin, R. E.

R. E. Collin, Field Theory of Guided Waves, 2nd ed. (IEEE, 1991).

Cubukcu, E.

E. Cubukcu, K. Aydin, C. M. Ozbay, E. Foteinopoulou, and S. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Dogariu, A.

Durnin, J.

J. Durnin, J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Eberly, J. H.

J. Durnin, J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Engheta, N.

Fainman, Y.

Foteinopoulou, E.

E. Cubukcu, K. Aydin, C. M. Ozbay, E. Foteinopoulou, and S. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Genov, D. A.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Grier, D. G.

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Hull, G. F.

E. F. Nichols and G. F. Hull, Phys. Rev. 13, 307 (1901).

Kittel, C.

C. Kittel, Introduction to Solid State Physics, 8th ed.(Wiley, 2005).

Laroche, M.

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

Lebedev, P.

P. Lebedev, Ann. Phys. 311, 433 (1901).
[CrossRef]

Lee, S.-H.

Marques, M. I.

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

Miceli, J.

J. Durnin, J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Mizrahi, A.

Nichols, E. F.

E. F. Nichols and G. F. Hull, Phys. Rev. 13, 307 (1901).

Ozbay, C. M.

E. Cubukcu, K. Aydin, C. M. Ozbay, E. Foteinopoulou, and S. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Roichman, Y.

Saenz, J. J.

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

Salandrino, A.

Soukoulis, S.

E. Cubukcu, K. Aydin, C. M. Ozbay, E. Foteinopoulou, and S. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Sukhov, S.

Ulin-Avila, E.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Valentine, J.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Waldron, R. A.

P. J. B. Clarricoats and R. A. Waldron, J. Electron. Control 8, 455 (1960).
[CrossRef]

Zentgraf, T.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Zhang, S.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Zhang, X.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Ann. Phys. (1)

P. Lebedev, Ann. Phys. 311, 433 (1901).
[CrossRef]

J. Electron. Control (1)

P. J. B. Clarricoats and R. A. Waldron, J. Electron. Control 8, 455 (1960).
[CrossRef]

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

Nature (2)

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

E. Cubukcu, K. Aydin, C. M. Ozbay, E. Foteinopoulou, and S. Soukoulis, Nature 423, 604 (2003).
[CrossRef] [PubMed]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. (1)

E. F. Nichols and G. F. Hull, Phys. Rev. 13, 307 (1901).

Phys. Rev. Lett. (3)

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

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

J. Durnin, J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Other (3)

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

R. E. Collin, Field Theory of Guided Waves, 2nd ed. (IEEE, 1991).

C. Kittel, Introduction to Solid State Physics, 8th ed.(Wiley, 2005).

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Figures (4)

Fig. 1
Fig. 1

Layout of a circular Clarricoats– Waldron waveguide. Different cross sections are also possible.

Fig. 2
Fig. 2

Dispersion of a Ge loaded square Clarricoats–Waldron waveguide. Inset: regions of negative Poynting vector.

Fig. 3
Fig. 3

(a) Single square element, (b) two- dimensional array of isolated elements.

Fig. 4
Fig. 4

Electric field and intensity distribution in a six-element array of square dielectric rods of permittivity 16.

Equations (4)

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

F = 1 4 α r | E | 2 + k 0 α i ε 0 [ S c + c × L S ] .
E ¯ = [ i β T E z ω μ 0 z ^ × T H z k 0 2 ε β 2 + z ^ E z ] e i β z , H ¯ = [ i ω ε 0 ε z ^ × T E z + β T H z k 0 2 ε β 2 + z ^ H z ] e i β z ,
F z = α i [ ( k 0 2 ε β 2 ) 2 | E z | 2 + | β T E z + k 0 ε η T H z × z ^ | 2 ] 2 ( k 0 2 ε β 2 ) 2 β ,
H x | y = 0 = H x | y = a ; H y | x = 0 = H y | x = a .

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