Abstract

Goos–Hänchen shifts are investigated when total reflection occurs at the interfaces associated with single-negative materials (SNMs). A general rule for judging the direction of the Goos–Hänchen lateral shift concerning lossless media is obtained: Whether the lateral shift is positive or negative depends on the sign of μ1μ2 for TE-polarized incident beams and ε1ε2 for TM-polarized incident beams. It was theoretically demonstrated that, at the interface associated with SNMs, TE- and TM-polarized incident beams experience opposite Goos–Hänchen lateral shifts. An effective and simple approach to discriminating ε-negative material and μ-negative material is proposed.

© 2005 Optical Society of America

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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]

2004 (2)

D. K. Qing and G. Chen, Opt. Lett. 29, 872 (2004).
[Crossref] [PubMed]

X. Chen and C.-F. Li, Phys. Rev. E 69, 066617 (2004).
[Crossref]

2003 (4)

M. Sanz, A. C. Papageorgopoulos, W. F. Egelhoff, M. Nieto-Vesperinas, and N. Garcia, Phys. Rev. E 67, 067601 (2003).
[Crossref]

A. Lakhtakia, Electromagnetics 23, 71 (2003).
[Crossref]

A. A. Houck, J. B. Brock, and I. L. Chuang, Phys. Rev. Lett. 90, 137401 (2003).
[Crossref]

A. Alù and N. Engheta, IEEE Trans. Antennas Propag. 51, 2558 (2003).
[Crossref]

2002 (3)

N. Garcia and M. Nieto-Vesperinas, Opt. Lett. 27, 885 (2002).
[Crossref]

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).
[Crossref]

P. R. Berman, Phys. Rev. E 66, 067603 (2002).
[Crossref]

2001 (1)

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

2000 (1)

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[Crossref]

1999 (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
[Crossref]

1996 (1)

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[Crossref] [PubMed]

1986 (1)

1968 (1)

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

Alù, A.

A. Alù and N. Engheta, IEEE Trans. Antennas Propag. 51, 2558 (2003).
[Crossref]

Berman, P. R.

P. R. Berman, Phys. Rev. E 66, 067603 (2002).
[Crossref]

Birman, J. L.

Brock, J. B.

A. A. Houck, J. B. Brock, and I. L. Chuang, Phys. Rev. Lett. 90, 137401 (2003).
[Crossref]

Chen, G.

Chen, X.

X. Chen and C.-F. Li, Phys. Rev. E 69, 066617 (2004).
[Crossref]

Chuang, I. L.

A. A. Houck, J. B. Brock, and I. L. Chuang, Phys. Rev. Lett. 90, 137401 (2003).
[Crossref]

Egelhoff, W. F.

M. Sanz, A. C. Papageorgopoulos, W. F. Egelhoff, M. Nieto-Vesperinas, and N. Garcia, Phys. Rev. E 67, 067601 (2003).
[Crossref]

Engheta, N.

A. Alù and N. Engheta, IEEE Trans. Antennas Propag. 51, 2558 (2003).
[Crossref]

Garcia, N.

M. Sanz, A. C. Papageorgopoulos, W. F. Egelhoff, M. Nieto-Vesperinas, and N. Garcia, Phys. Rev. E 67, 067601 (2003).
[Crossref]

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).
[Crossref]

N. Garcia and M. Nieto-Vesperinas, Opt. Lett. 27, 885 (2002).
[Crossref]

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
[Crossref]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[Crossref] [PubMed]

Houck, A. A.

A. A. Houck, J. B. Brock, and I. L. Chuang, Phys. Rev. Lett. 90, 137401 (2003).
[Crossref]

Kwok, C. W.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[Crossref]

Lai, H. M.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[Crossref]

Lakhtakia, A.

A. Lakhtakia, Electromagnetics 23, 71 (2003).
[Crossref]

Li, C.-F.

X. Chen and C.-F. Li, Phys. Rev. E 69, 066617 (2004).
[Crossref]

Loo, Y. W.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[Crossref]

Nieto-Vesperinas, M.

M. Sanz, A. C. Papageorgopoulos, W. F. Egelhoff, M. Nieto-Vesperinas, and N. Garcia, Phys. Rev. E 67, 067601 (2003).
[Crossref]

N. Garcia and M. Nieto-Vesperinas, Opt. Lett. 27, 885 (2002).
[Crossref]

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).
[Crossref]

Papageorgopoulos, A. C.

M. Sanz, A. C. Papageorgopoulos, W. F. Egelhoff, M. Nieto-Vesperinas, and N. Garcia, Phys. Rev. E 67, 067601 (2003).
[Crossref]

Pendry, J. B.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
[Crossref]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[Crossref] [PubMed]

Ponizovskaya, E. V.

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).
[Crossref]

Puri, A.

Qing, D. K.

Robbins, D. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
[Crossref]

Sanz, M.

M. Sanz, A. C. Papageorgopoulos, W. F. Egelhoff, M. Nieto-Vesperinas, and N. Garcia, Phys. Rev. E 67, 067601 (2003).
[Crossref]

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]

Stewart, W. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
[Crossref]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[Crossref] [PubMed]

Veselago, V. G.

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

Xu, B. Y.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[Crossref]

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[Crossref] [PubMed]

Appl. Phys. Lett. (1)

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).
[Crossref]

Electromagnetics (1)

A. Lakhtakia, Electromagnetics 23, 71 (2003).
[Crossref]

IEEE Trans. Antennas Propag. (1)

A. Alù and N. Engheta, IEEE Trans. Antennas Propag. 51, 2558 (2003).
[Crossref]

IEEE Trans. Microwave Theory Tech. (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
[Crossref]

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

Opt. Lett. (2)

Phys. Rev. E (4)

P. R. Berman, Phys. Rev. E 66, 067603 (2002).
[Crossref]

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[Crossref]

X. Chen and C.-F. Li, Phys. Rev. E 69, 066617 (2004).
[Crossref]

M. Sanz, A. C. Papageorgopoulos, W. F. Egelhoff, M. Nieto-Vesperinas, and N. Garcia, Phys. Rev. E 67, 067601 (2003).
[Crossref]

Phys. Rev. Lett. (2)

A. A. Houck, J. B. Brock, and I. L. Chuang, Phys. Rev. Lett. 90, 137401 (2003).
[Crossref]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[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 diagram of an electromagnetic wave reflected at the interface between a SNM (medium 2) and (a) a DPM or (b) a DNM (medium 1). Solid arrows indicate the phase propagation directions and open arrows indicate the energy flux directions.

Fig. 2
Fig. 2

Dependence of Goos–Hänchen lateral shift Y on the incident angle. The incident beam is from (a) a DPM and (b) a DNM.

Equations (6)

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

E ( 1 ) ( x , y , t ) = E z 0 exp ( i ω t ) ( exp { i [ k x ( 1 ) x + k y ( 1 ) y ] } + R exp { i [ k x ( 2 ) x + k y ( 2 ) y ] } ) ,
E ( 2 ) ( x , y , t ) = T E z 0 exp ( i ω t ) exp { i [ k x ( 3 ) x + k y ( 3 ) y ] } ,
R TE = μ 2 k x ( 1 ) μ 1 k x ( 3 ) μ 2 k x ( 1 ) + μ 1 k x ( 3 ) = r TE exp ( i δ TE ) ,
Y TE = 2 μ 1 μ 2 ( μ 1 ε 1 μ 2 ε 2 ) ω 2 μ 2 2 ( μ 1 ε 1 ω 2 k y 2 ) + μ 1 2 ( k y 2 μ 2 ε 2 ω 2 ) × k y ( k y 2 μ 2 ε 2 ω 2 ) 1 2 ( μ 1 ε 1 ω 2 k y 2 ) 1 2 .
R TM = ε 2 k x ( 1 ) ε 1 k x ( 3 ) ε 2 k x ( 1 ) + ε 1 k x ( 3 ) = r TM exp ( i δ TM ) ,
Y TM = 2 ε 1 ε 2 ( μ 1 ε 1 μ 2 ε 2 ) ω 2 ε 2 2 ( μ 1 ε 1 ω 2 k y 2 ) + ε 1 2 ( k y 2 μ 2 ε 2 ω 2 ) × k y ( k y 2 μ 2 ε 2 ω 2 ) 1 2 ( μ 1 ε 1 ω 2 k y 2 ) 1 2 .

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