Abstract

We focus on the lateral shift for an electromagnetic wave reflected from a weakly absorbing double negative medium (DNM). A large lateral shift near the pseudo-Brewster angle is found, which may be negative or positive. We give an analytic expression for such a kind of lateral shift, from which the critical transition point for sign-changing of the lateral shift can be easily obtained. Theoretical analysis shows that the absorption of DNM, even though very weak, plays an important role in determining the lateral shift. As evidences, we calculate the lateral shift by means of the momentum method and perform the finite-difference time-domain (FDTD) simulations. We find that the results of our theoretical analysis are reliable.

© 2006 Optical Society of America

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  1. F. Goos and H. Hänchen, "Ein neuer und fundamentaler Versuch zur Totalreflexion," Ann. Physik 1, 333-346 (1947).
    [CrossRef]
  2. F. Goos and H. Hänchen, "Neumessung des Strahlversetzungseffektes bei Totalreflexion," Ann. Physik 5, 251-252 (1949).
    [CrossRef]
  3. K. Artmann, "Berechnung der Seitenversetzung des totalreflektierten Stranles," Ann. Physik 2, 87-102 (1948).
    [CrossRef]
  4. H. K. V. Lotsch, "Beam displacement at total reflection: The Goos-Hänchen effect," Optik 32, 116-137 (1970).
  5. F. Wang and A. Lakhtakia, "Lateral shifts of optical beams on reflection by slanted chiral sculptured thin films," Opt. Commun. 235, 107-132 (2004).
    [CrossRef]
  6. W. J. Wild and C. L. Giles, "Goos-Hänchen shifts from absorbing media," Phys. Rev. A 25, 2099-2101 (1982).
    [CrossRef]
  7. H. M. Lai and S. W. Chan, "Large and negative Goos-Hänchen shift near the Brewster dip on reflection from weakly absorbing media," Opt. Lett. 27, 680-682 (2002).
    [CrossRef]
  8. L. G. Wang and S. Y. Zhu, "Large positive and negative Goos-Hänchen shifts from a weakly absorbing left-handed slab," J. Appl. Phys. 98, 043522 (2005).
    [CrossRef]
  9. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 92, 77-79 (2001).
    [CrossRef]
  10. V. G. Veselago, "The electromagnetics of substances with simultaneously negative values of ? and ?," Sov. Phys. Usp. 10, 509-514 (1968).
    [CrossRef]
  11. D. R. Smith and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett. 90, 077405 (2003).
    [CrossRef] [PubMed]
  12. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (1996).
    [CrossRef]
  13. S. A. Ramakrishna, "Physics of negative refractive index materials," Rep. Prog. Phys. 68, 449-521 (2005).
    [CrossRef]
  14. N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
    [CrossRef]
  15. M.W. McCall, A. Lakhtakia, andW. S.Weiglhofer, "The negative index of refraction demystified", Eur. J. Phys. 23, 353-359 (2002).
    [CrossRef]
  16. P. R. Berman, "Goos-Hänchen shift in negatively refractive media," Phys. Rev. E 66, 067603 (2002).
    [CrossRef]
  17. A. Lakhtakia, "On planewave remittances and Goos-Hänchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics,  23, 71-76 (2003).
    [CrossRef]
  18. A. Lakhtakia, "Positive and negative Goos-Hänchen shifts and negative phase-velocity mediums (alias left-handed materials)," Int. J. Electron. Commun. 58, 229-231 (2004).
    [CrossRef]
  19. D. K. Qing and G. Chen, "Goos-Hänchen shifts at the interfaces between left- and right-handed media," Opt. Lett. 29, 872-874 (2004).
    [CrossRef] [PubMed]
  20. J. A. Kong, B. L. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability," Appl. Phys. Lett. 80, 2084-2086 (2002).
    [CrossRef]
  21. C. F. Li, "Negative lateral shift of a light beam transmitted through a dielectric slab and interaction of boundary effects," Phys. Rev. Lett. 91, 133903 (2003).
    [CrossRef] [PubMed]
  22. I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Giant Goos-H anchen effect at the reflection from left-handed metamaterials," Appl. Phys. Lett. 83, 2713-2715 (2003).
    [CrossRef]
  23. I. V. Shadrivov, R. W. Ziolkowski, A. A. Zharov, and Y. S. Kivshar, "Excitation of guided waves in layered structures with negative refraction," Opt. Express 13, 481-492 (2005).
    [CrossRef] [PubMed]
  24. L. G. Wang and S. Y. Zhu, "Large negative lateral shifts from the Kretschmann-Raether configuration with left-handed materials," Appl. Phys. Lett. 87, 221102 (2005).
    [CrossRef]
  25. H. M. Lai, S. W. Chan, and W. H. Hong, "Nonspecular effects on reflection from absorbing media at and around Brewster’s dip", accepted by J. Opt. Soc. Am A.
  26. N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. Ding, H. T. Wang, and Y. J. Tian, "Total transmission of electromagnetic waves at interfaces associated with an indefinite medium," J. Opt. Soc. Am. B 23, 904-912 (2006).
    [CrossRef]
  27. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, 2nd Ed., (Butterworth-Heinemann, Oxford, England, 1984), pp. 280-281.

2006 (1)

2005 (5)

I. V. Shadrivov, R. W. Ziolkowski, A. A. Zharov, and Y. S. Kivshar, "Excitation of guided waves in layered structures with negative refraction," Opt. Express 13, 481-492 (2005).
[CrossRef] [PubMed]

L. G. Wang and S. Y. Zhu, "Large negative lateral shifts from the Kretschmann-Raether configuration with left-handed materials," Appl. Phys. Lett. 87, 221102 (2005).
[CrossRef]

L. G. Wang and S. Y. Zhu, "Large positive and negative Goos-Hänchen shifts from a weakly absorbing left-handed slab," J. Appl. Phys. 98, 043522 (2005).
[CrossRef]

S. A. Ramakrishna, "Physics of negative refractive index materials," Rep. Prog. Phys. 68, 449-521 (2005).
[CrossRef]

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

2004 (3)

F. Wang and A. Lakhtakia, "Lateral shifts of optical beams on reflection by slanted chiral sculptured thin films," Opt. Commun. 235, 107-132 (2004).
[CrossRef]

A. Lakhtakia, "Positive and negative Goos-Hänchen shifts and negative phase-velocity mediums (alias left-handed materials)," Int. J. Electron. Commun. 58, 229-231 (2004).
[CrossRef]

D. K. Qing and G. Chen, "Goos-Hänchen shifts at the interfaces between left- and right-handed media," Opt. Lett. 29, 872-874 (2004).
[CrossRef] [PubMed]

2003 (4)

C. F. Li, "Negative lateral shift of a light beam transmitted through a dielectric slab and interaction of boundary effects," Phys. Rev. Lett. 91, 133903 (2003).
[CrossRef] [PubMed]

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Giant Goos-H anchen effect at the reflection from left-handed metamaterials," Appl. Phys. Lett. 83, 2713-2715 (2003).
[CrossRef]

D. R. Smith and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef] [PubMed]

A. Lakhtakia, "On planewave remittances and Goos-Hänchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics,  23, 71-76 (2003).
[CrossRef]

2002 (4)

H. M. Lai and S. W. Chan, "Large and negative Goos-Hänchen shift near the Brewster dip on reflection from weakly absorbing media," Opt. Lett. 27, 680-682 (2002).
[CrossRef]

M.W. McCall, A. Lakhtakia, andW. S.Weiglhofer, "The negative index of refraction demystified", Eur. J. Phys. 23, 353-359 (2002).
[CrossRef]

P. R. Berman, "Goos-Hänchen shift in negatively refractive media," Phys. Rev. E 66, 067603 (2002).
[CrossRef]

J. A. Kong, B. L. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability," Appl. Phys. Lett. 80, 2084-2086 (2002).
[CrossRef]

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 92, 77-79 (2001).
[CrossRef]

1996 (1)

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (1996).
[CrossRef]

1982 (1)

W. J. Wild and C. L. Giles, "Goos-Hänchen shifts from absorbing media," Phys. Rev. A 25, 2099-2101 (1982).
[CrossRef]

1970 (1)

H. K. V. Lotsch, "Beam displacement at total reflection: The Goos-Hänchen effect," Optik 32, 116-137 (1970).

1968 (1)

V. G. Veselago, "The electromagnetics of substances with simultaneously negative values of ? and ?," Sov. Phys. Usp. 10, 509-514 (1968).
[CrossRef]

1949 (1)

F. Goos and H. Hänchen, "Neumessung des Strahlversetzungseffektes bei Totalreflexion," Ann. Physik 5, 251-252 (1949).
[CrossRef]

1948 (1)

K. Artmann, "Berechnung der Seitenversetzung des totalreflektierten Stranles," Ann. Physik 2, 87-102 (1948).
[CrossRef]

1947 (1)

F. Goos and H. Hänchen, "Ein neuer und fundamentaler Versuch zur Totalreflexion," Ann. Physik 1, 333-346 (1947).
[CrossRef]

Artmann, K.

K. Artmann, "Berechnung der Seitenversetzung des totalreflektierten Stranles," Ann. Physik 2, 87-102 (1948).
[CrossRef]

Berman, P. R.

P. R. Berman, "Goos-Hänchen shift in negatively refractive media," Phys. Rev. E 66, 067603 (2002).
[CrossRef]

Chan, S. W.

Chen, G.

Chen, J.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. Ding, H. T. Wang, and Y. J. Tian, "Total transmission of electromagnetic waves at interfaces associated with an indefinite medium," J. Opt. Soc. Am. B 23, 904-912 (2006).
[CrossRef]

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Ding, J.

Ding, J. P.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Fan, Y. X.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. Ding, H. T. Wang, and Y. J. Tian, "Total transmission of electromagnetic waves at interfaces associated with an indefinite medium," J. Opt. Soc. Am. B 23, 904-912 (2006).
[CrossRef]

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Giles, C. L.

W. J. Wild and C. L. Giles, "Goos-Hänchen shifts from absorbing media," Phys. Rev. A 25, 2099-2101 (1982).
[CrossRef]

Goos, F.

F. Goos and H. Hänchen, "Neumessung des Strahlversetzungseffektes bei Totalreflexion," Ann. Physik 5, 251-252 (1949).
[CrossRef]

F. Goos and H. Hänchen, "Ein neuer und fundamentaler Versuch zur Totalreflexion," Ann. Physik 1, 333-346 (1947).
[CrossRef]

Hänchen, H.

F. Goos and H. Hänchen, "Neumessung des Strahlversetzungseffektes bei Totalreflexion," Ann. Physik 5, 251-252 (1949).
[CrossRef]

F. Goos and H. Hänchen, "Ein neuer und fundamentaler Versuch zur Totalreflexion," Ann. Physik 1, 333-346 (1947).
[CrossRef]

Kivshar, Y. S.

I. V. Shadrivov, R. W. Ziolkowski, A. A. Zharov, and Y. S. Kivshar, "Excitation of guided waves in layered structures with negative refraction," Opt. Express 13, 481-492 (2005).
[CrossRef] [PubMed]

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Giant Goos-H anchen effect at the reflection from left-handed metamaterials," Appl. Phys. Lett. 83, 2713-2715 (2003).
[CrossRef]

Kong, J. A.

J. A. Kong, B. L. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability," Appl. Phys. Lett. 80, 2084-2086 (2002).
[CrossRef]

Lai, H. M.

Lakhtakia, A.

F. Wang and A. Lakhtakia, "Lateral shifts of optical beams on reflection by slanted chiral sculptured thin films," Opt. Commun. 235, 107-132 (2004).
[CrossRef]

A. Lakhtakia, "Positive and negative Goos-Hänchen shifts and negative phase-velocity mediums (alias left-handed materials)," Int. J. Electron. Commun. 58, 229-231 (2004).
[CrossRef]

A. Lakhtakia, "On planewave remittances and Goos-Hänchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics,  23, 71-76 (2003).
[CrossRef]

M.W. McCall, A. Lakhtakia, andW. S.Weiglhofer, "The negative index of refraction demystified", Eur. J. Phys. 23, 353-359 (2002).
[CrossRef]

Li, C. F.

C. F. Li, "Negative lateral shift of a light beam transmitted through a dielectric slab and interaction of boundary effects," Phys. Rev. Lett. 91, 133903 (2003).
[CrossRef] [PubMed]

Lotsch, H. K. V.

H. K. V. Lotsch, "Beam displacement at total reflection: The Goos-Hänchen effect," Optik 32, 116-137 (1970).

McCall, M.W.

M.W. McCall, A. Lakhtakia, andW. S.Weiglhofer, "The negative index of refraction demystified", Eur. J. Phys. 23, 353-359 (2002).
[CrossRef]

Ming, N. B.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Pendry, J. B.

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (1996).
[CrossRef]

Qing, D. K.

Ramakrishna, S. A.

S. A. Ramakrishna, "Physics of negative refractive index materials," Rep. Prog. Phys. 68, 449-521 (2005).
[CrossRef]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 92, 77-79 (2001).
[CrossRef]

Schurig, D.

D. R. Smith and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef] [PubMed]

Shadrivov, I. V.

I. V. Shadrivov, R. W. Ziolkowski, A. A. Zharov, and Y. S. Kivshar, "Excitation of guided waves in layered structures with negative refraction," Opt. Express 13, 481-492 (2005).
[CrossRef] [PubMed]

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Giant Goos-H anchen effect at the reflection from left-handed metamaterials," Appl. Phys. Lett. 83, 2713-2715 (2003).
[CrossRef]

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 92, 77-79 (2001).
[CrossRef]

Shen, N. H.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. Ding, H. T. Wang, and Y. J. Tian, "Total transmission of electromagnetic waves at interfaces associated with an indefinite medium," J. Opt. Soc. Am. B 23, 904-912 (2006).
[CrossRef]

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Smith, D. R.

D. R. Smith and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef] [PubMed]

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 92, 77-79 (2001).
[CrossRef]

Tian, Y. J.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. Ding, H. T. Wang, and Y. J. Tian, "Total transmission of electromagnetic waves at interfaces associated with an indefinite medium," J. Opt. Soc. Am. B 23, 904-912 (2006).
[CrossRef]

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Veselago, V. G.

V. G. Veselago, "The electromagnetics of substances with simultaneously negative values of ? and ?," Sov. Phys. Usp. 10, 509-514 (1968).
[CrossRef]

Wang, F.

F. Wang and A. Lakhtakia, "Lateral shifts of optical beams on reflection by slanted chiral sculptured thin films," Opt. Commun. 235, 107-132 (2004).
[CrossRef]

Wang, H. T.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. Ding, H. T. Wang, and Y. J. Tian, "Total transmission of electromagnetic waves at interfaces associated with an indefinite medium," J. Opt. Soc. Am. B 23, 904-912 (2006).
[CrossRef]

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Wang, L. G.

L. G. Wang and S. Y. Zhu, "Large positive and negative Goos-Hänchen shifts from a weakly absorbing left-handed slab," J. Appl. Phys. 98, 043522 (2005).
[CrossRef]

L. G. Wang and S. Y. Zhu, "Large negative lateral shifts from the Kretschmann-Raether configuration with left-handed materials," Appl. Phys. Lett. 87, 221102 (2005).
[CrossRef]

Wang, Q.

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. Ding, H. T. Wang, and Y. J. Tian, "Total transmission of electromagnetic waves at interfaces associated with an indefinite medium," J. Opt. Soc. Am. B 23, 904-912 (2006).
[CrossRef]

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Wild, W. J.

W. J. Wild and C. L. Giles, "Goos-Hänchen shifts from absorbing media," Phys. Rev. A 25, 2099-2101 (1982).
[CrossRef]

Wu, B. L.

J. A. Kong, B. L. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability," Appl. Phys. Lett. 80, 2084-2086 (2002).
[CrossRef]

Zhang, Y.

J. A. Kong, B. L. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability," Appl. Phys. Lett. 80, 2084-2086 (2002).
[CrossRef]

Zharov, A. A.

I. V. Shadrivov, R. W. Ziolkowski, A. A. Zharov, and Y. S. Kivshar, "Excitation of guided waves in layered structures with negative refraction," Opt. Express 13, 481-492 (2005).
[CrossRef] [PubMed]

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Giant Goos-H anchen effect at the reflection from left-handed metamaterials," Appl. Phys. Lett. 83, 2713-2715 (2003).
[CrossRef]

Zhu, S. Y.

L. G. Wang and S. Y. Zhu, "Large negative lateral shifts from the Kretschmann-Raether configuration with left-handed materials," Appl. Phys. Lett. 87, 221102 (2005).
[CrossRef]

L. G. Wang and S. Y. Zhu, "Large positive and negative Goos-Hänchen shifts from a weakly absorbing left-handed slab," J. Appl. Phys. 98, 043522 (2005).
[CrossRef]

Ziolkowski, R. W.

Ann. Physik (3)

F. Goos and H. Hänchen, "Ein neuer und fundamentaler Versuch zur Totalreflexion," Ann. Physik 1, 333-346 (1947).
[CrossRef]

F. Goos and H. Hänchen, "Neumessung des Strahlversetzungseffektes bei Totalreflexion," Ann. Physik 5, 251-252 (1949).
[CrossRef]

K. Artmann, "Berechnung der Seitenversetzung des totalreflektierten Stranles," Ann. Physik 2, 87-102 (1948).
[CrossRef]

Appl. Phys. Lett. (3)

J. A. Kong, B. L. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability," Appl. Phys. Lett. 80, 2084-2086 (2002).
[CrossRef]

I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Giant Goos-H anchen effect at the reflection from left-handed metamaterials," Appl. Phys. Lett. 83, 2713-2715 (2003).
[CrossRef]

L. G. Wang and S. Y. Zhu, "Large negative lateral shifts from the Kretschmann-Raether configuration with left-handed materials," Appl. Phys. Lett. 87, 221102 (2005).
[CrossRef]

Electromagnetics (1)

A. Lakhtakia, "On planewave remittances and Goos-Hänchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics,  23, 71-76 (2003).
[CrossRef]

Eur. J. Phys. (1)

M.W. McCall, A. Lakhtakia, andW. S.Weiglhofer, "The negative index of refraction demystified", Eur. J. Phys. 23, 353-359 (2002).
[CrossRef]

Int. J. Electron. Commun. (1)

A. Lakhtakia, "Positive and negative Goos-Hänchen shifts and negative phase-velocity mediums (alias left-handed materials)," Int. J. Electron. Commun. 58, 229-231 (2004).
[CrossRef]

J. Appl. Phys. (1)

L. G. Wang and S. Y. Zhu, "Large positive and negative Goos-Hänchen shifts from a weakly absorbing left-handed slab," J. Appl. Phys. 98, 043522 (2005).
[CrossRef]

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

Opt. Commun. (1)

F. Wang and A. Lakhtakia, "Lateral shifts of optical beams on reflection by slanted chiral sculptured thin films," Opt. Commun. 235, 107-132 (2004).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Optik (1)

H. K. V. Lotsch, "Beam displacement at total reflection: The Goos-Hänchen effect," Optik 32, 116-137 (1970).

Phys. Rev. A (1)

W. J. Wild and C. L. Giles, "Goos-Hänchen shifts from absorbing media," Phys. Rev. A 25, 2099-2101 (1982).
[CrossRef]

Phys. Rev. B (1)

N. H. Shen, Q. Wang, J. Chen, Y. X. Fan, J. P. Ding, H. T. Wang, Y. J. Tian, and N. B. Ming, "Optically uniaxial left-handed materails," Phys. Rev. B 72, 153104 (2005).
[CrossRef]

Phys. Rev. E (1)

P. R. Berman, "Goos-Hänchen shift in negatively refractive media," Phys. Rev. E 66, 067603 (2002).
[CrossRef]

Phys. Rev. Lett. (3)

D. R. Smith and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef] [PubMed]

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (1996).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

Lateral shift of a TM wave reflected from a weakly absorbing DNM. (a) μ″ = 0 and ε = -1.8 + 0.09i. μ = -1.2, - 1 and -0.7 are shown by the dotted, dashed and dash-dotted curves, respectively. (b) ε = -1.8. μ = -1.2 + 0.09i, -1 + 0.09i and -0.7 + 0.09i are shown by the dotted, dashed and dash-dotted curves, respectively. (c) ε = -1.8 + 0.09i. Dotted, dashed, dash-dotted and solid curves correspond to μ = -1.2 + 0.09i, -0.7 + 0.09i, - 1.2 + 0.01i and -0.7 + 0.01i, respectively. The inset in (a) is the sketch of the structure.

Fig. 2.
Fig. 2.

FDTD simulations of the lateral shifts near the pseudo-Brewster angle for a TM wave reflected from an absorbing medium. (a) ε = 1.8 + 0.09i and μ = 1.2. (b) ε = -1.8 + 0.09i and μ = -1.2. (c) ε = -1.8 + 0.09i and μ = -1.2 + 0.09i.

Fig. 3.
Fig. 3.

(a) A comparison for the results given by the Artmann’s formula, the momentum method and the FDTD method when ε = -1.8 + 0.09i and μ = -1.2. The solid and dotted curves correspond to the results of the Artmann’s formula and the momentum method, respectively. Seven solid circles represent the FDTD results for seven different angles of incidence (40°, 41.5°, 43°, 44°, 45°, 46.5° and 48°). (b) Spatial profiles of the incident (dotted) and reflected (solid) beams at a 44° angle of incidence, and the amplitude of the reflected beam is magnified by a factor of 5000.

Equations (4)

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S = λ 2 π 1 Im [ r ( θ ) ] d Re [ r ( θ ) ] θ = θ pB ,
r DNM TM ( θ ) = ε cos θ + ( εμ sin 2 θ ) 1 / 2 ε cos θ ( εμ sin 2 θ ) 1 / 2 ,
θ pB TM = arcsin ( ε ' μ ' ) ε ' / ( ε ' 2 1 ) .
S DNM TM = λ ( ε ' 2 ε ' μ ' ) ( ε ' μ ' 1 ) π [ ε " ( ε ' 2 μ ' 2 ε ' + μ ' ) / ( ε ' 2 1 ) ε ' μ " ] .

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