Abstract

We study theoretically the properties of a thin film of a semiconductor embedded in the interface of two kinds of single-negative materials. At some frequencies the structure with suitable size is equivalent to an effective (near) zero-index medium. The coupling of exciton resonance in the semiconductor and the interface mode in a zero-index medium leads to Rabi splitting. Compared with Rabi splitting observed in cavities, the splitting modes in zero-index media are robust against the scaling change of the length and direction of incident wave.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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2006 (2)

2005 (3)

2004 (2)

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

2003 (3)

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

A. Lakhtakia and C. M. Krowne, Optik (Stuttgart) 114, 305 (2003).
[CrossRef]

A. Lakhtakia and J. A. Sherwin, Int. J. Infrared Millim. Waves 24, 19 (2003).
[CrossRef]

2002 (2)

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

D. R. Fredkin and A. Ron, Appl. Phys. Lett. 81, 1753 (2002).
[CrossRef]

2001 (2)

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

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

2000 (1)

S. Y. Zhu, Y. P. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

1999 (2)

G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, Rev. Mod. Phys. 71, 1591 (1999).
[CrossRef]

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

1998 (1)

S. Haroche, Phys. Today 51(7), 36 (1998).
[CrossRef]

1996 (1)

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

1992 (1)

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

1946 (1)

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Alu, A.

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

Arakawa, Y.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Brune, M.

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

Chen, H.

H. T. Jiang, H. Chen, and S. Y. Zhu, Phys. Rev. E 73, 046601 (2006).
[CrossRef]

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

S. Y. Zhu, Y. P. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Deppe, D. G.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

Dolling, G.

Ell, C.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

Engheta, N.

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

Enkrich, C.

Enoch, S.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Fleischhauer, M.

J. Kästel and M. Fleischhauer, Phys. Rev. A 71, 011804(R) (2005).
[CrossRef]

Fredkin, D. R.

D. R. Fredkin and A. Ron, Appl. Phys. Lett. 81, 1753 (2002).
[CrossRef]

Gibbs, H. M.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, Rev. Mod. Phys. 71, 1591 (1999).
[CrossRef]

Guérin, N.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Haroche, S.

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

S. Haroche, Phys. Today 51(7), 36 (1998).
[CrossRef]

Hendrickson, J.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

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]

Ishikawa, A.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Jahnke, F.

G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, Rev. Mod. Phys. 71, 1591 (1999).
[CrossRef]

Jiang, H. T.

H. T. Jiang, H. Chen, and S. Y. Zhu, Phys. Rev. E 73, 046601 (2006).
[CrossRef]

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

Kästel, J.

J. Kästel and M. Fleischhauer, Phys. Rev. A 71, 011804(R) (2005).
[CrossRef]

Khitrova, G.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, Rev. Mod. Phys. 71, 1591 (1999).
[CrossRef]

Kim, K. Y.

Kira, M.

G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, Rev. Mod. Phys. 71, 1591 (1999).
[CrossRef]

Koch, S. W.

G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, Rev. Mod. Phys. 71, 1591 (1999).
[CrossRef]

Krowne, C. M.

A. Lakhtakia and C. M. Krowne, Optik (Stuttgart) 114, 305 (2003).
[CrossRef]

Lakhtakia, A.

A. Lakhtakia and C. M. Krowne, Optik (Stuttgart) 114, 305 (2003).
[CrossRef]

A. Lakhtakia and J. A. Sherwin, Int. J. Infrared Millim. Waves 24, 19 (2003).
[CrossRef]

Li, H. Q.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

Linden, S.

Nishioka, M.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

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]

Purcell, E. M.

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Raimond, J. M.

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

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]

Ron, A.

D. R. Fredkin and A. Ron, Appl. Phys. Lett. 81, 1753 (2002).
[CrossRef]

Rupper, G.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

Sabouroux, P.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Scherer, A.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

Schultz, S.

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

Shchekin, O. B.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

Shelby, R. A.

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

Sherwin, J. A.

A. Lakhtakia and J. A. Sherwin, Int. J. Infrared Millim. Waves 24, 19 (2003).
[CrossRef]

Smith, D. R.

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

Soukoulis, C. M.

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]

Tayeb, G.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Vincent, P.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Wegener, M.

Weisbuch, C.

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Yang, Y. P.

S. Y. Zhu, Y. P. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Yoshie, T.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

Youngs, I.

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

Zhang, Y. W.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

Zheng, H.

S. Y. Zhu, Y. P. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Zhou, J. F.

Zhu, S. Y.

H. T. Jiang, H. Chen, and S. Y. Zhu, Phys. Rev. E 73, 046601 (2006).
[CrossRef]

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

S. Y. Zhu, Y. P. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Zi, J.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

Zubairy, M. S.

S. Y. Zhu, Y. P. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

D. R. Fredkin and A. Ron, Appl. Phys. Lett. 81, 1753 (2002).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

A. Alu 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]

Int. J. Infrared Millim. Waves (1)

A. Lakhtakia and J. A. Sherwin, Int. J. Infrared Millim. Waves 24, 19 (2003).
[CrossRef]

Nature (1)

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).
[CrossRef] [PubMed]

Opt. Lett. (3)

Optik (Stuttgart) (1)

A. Lakhtakia and C. M. Krowne, Optik (Stuttgart) 114, 305 (2003).
[CrossRef]

Phys. Rev. (1)

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Phys. Rev. A (1)

J. Kästel and M. Fleischhauer, Phys. Rev. A 71, 011804(R) (2005).
[CrossRef]

Phys. Rev. E (2)

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, Phys. Rev. E 69, 066607 (2004).
[CrossRef]

H. T. Jiang, H. Chen, and S. Y. Zhu, Phys. Rev. E 73, 046601 (2006).
[CrossRef]

Phys. Rev. Lett. (4)

S. Enoch, G. Tayeb, P. Sabouroux, N. Guérin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

S. Y. Zhu, Y. P. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Phys. Rev. Lett. 84, 2136 (2000).
[CrossRef] [PubMed]

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

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Phys. Today (1)

S. Haroche, Phys. Today 51(7), 36 (1998).
[CrossRef]

Rev. Mod. Phys. (2)

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch, Rev. Mod. Phys. 71, 1591 (1999).
[CrossRef]

Science (1)

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

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Figures (4)

Fig. 1
Fig. 1

Schematic of a structure consisting of a ε-negative layer, a μ-negative layer, and a thin film of a semiconductor in the peak of an interface field.

Fig. 2
Fig. 2

(a) Transmittance of a structure with (solid line) and without (dashed line) excitons. (b) Transmittance of another structure whose lengths is scaled by 4 3 .

Fig. 3
Fig. 3

Transmittance with different incident angles for a TE wave.

Fig. 4
Fig. 4

Transmittance of structures when the thickness of the semiconductor is 5 nm .

Equations (6)

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

ε A = ε a α 2 ω 2 , μ A = μ a
ε B = ε b , μ B = μ b β 2 ω 2 + i ω Γ
χ res ( ω ) = G ( ω ω res ) + i γ ,
ε ¯ ( ω ) = ε A ( ω ) d A + ε B d B d A + d B = 0 ,
μ ¯ ( ω ) = μ A d A + μ B ( ω ) d B d A + d B = 0 .
[ 2 z 2 + ω 2 c 2 ε ( z ) μ ( z ) ] E ( z , ω ) + ω 2 c 2 χ res ( ω ) E ( z , ω ) δ ( z z 0 ) = 0 ,

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