Abstract

It is shown that the boundary conditions at left-handed material interfaces cause reversal in the propagation direction of the parallel-to-the-surface electromagnetic energy and momentum fluxes. First-principle examination excludes the possibility of induced surface wave excitation as a way of providing radiation momentum conservation. Thus the imparted net change in electromagnetic momentum should cause a recoil force parallel to the surface, which is unique to left-handed interfaces. The shear force exerted on a left-handed material interface is computed. The magnitude of this force is found detectable by experiments.

© 2006 Optical Society of America

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References

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  1. V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
    [CrossRef]
  2. D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
    [CrossRef] [PubMed]
  3. J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
    [CrossRef] [PubMed]
  4. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
    [CrossRef] [PubMed]
  5. R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
    [CrossRef] [PubMed]

2002 (1)

J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
[CrossRef] [PubMed]

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

2000 (2)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef] [PubMed]

1968 (1)

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

Grzegorczyk, T. M.

J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
[CrossRef] [PubMed]

Kong, J. A.

J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
[CrossRef] [PubMed]

Kroll, N.

D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef] [PubMed]

Pacheco, J.

J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef] [PubMed]

Veselago, V. G.

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

Wu, B.-I.

J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
[CrossRef] [PubMed]

Zhang, Y.

J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
[CrossRef] [PubMed]

Phys. Rev. Lett. (3)

D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef] [PubMed]

J. Pacheco, T. M. Grzegorczyk, B.-I. Wu, Y. Zhang, and J. A. Kong, Phys. Rev. Lett. 89, 257401 (2002).
[CrossRef] [PubMed]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

Science (1)

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Sov. Phys. Usp. (1)

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

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Figures (2)

Fig. 1
Fig. 1

Schematic of wave vectors, Poynting flux, and EM momentum directions during refraction by negative-index material interface.

Fig. 2
Fig. 2

Fractional change in total parallel momentum (reflected plus refracted) compared with the incoming parallel. (a) TE polarization for various values of ε ε under fixed μ μ = 1 . (b) Same for TM polarization. Zero values (conservation) correspond to total reflection for supercritical incidence sin θ > n n .

Equations (11)

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ω = ω + Ω , k = k + K .
t = 2 μ k z μ k z + s μ k z , r = μ k z s μ k z μ k z + s μ k z ,
t = 2 μ k z n n n 2 μ k z + s n 2 μ k z , r = n 2 μ k z s n 2 μ k z n 2 μ k z + s n 2 μ k z .
S z + S z + S z = c 4 π E o 2 [ ε μ cos θ + ε μ r 2 cos θ + ε μ t 2 cos θ ] = 0 ,
Δ P x = c 4 π ω E o 2 [ k x ε μ cos θ + k x ε μ r 2 cos θ + sgn ( n ) k x ε μ t 2 cos θ ] ,
Δ P z = c 4 π ω E o 2 [ k z ε μ cos θ + k z ε μ r 2 cos θ + sgn ( n ) k z ε μ t 2 cos θ ] .
Δ P P = r 2 + sgn ( n ) t 2 ε μ ε μ cos θ cos θ 1 ,
Δ P P = r 2 + t 2 n n ε μ ε μ cos 2 θ cos 2 θ 1 ,
F = n E o 2 4 π sin θ cos θ [ r 2 + t 2 ε μ ε μ cos θ cos θ + 1 ] .
F = n E o 2 4 π cos 2 θ [ r 2 t 2 n n ε μ ε μ cos 2 θ cos 2 θ + 1 ] ,
S ̂ = S + ω 16 π Re [ E * ( ε k E ) + H * ( μ k H ) ] .

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