Abstract

The coupling of excited surface polaritons with thermal radiation through diffraction by gratings results in coherent thermal emission in a certain frequency range toward well-defined directions for p polarization. A planar coherent source is proposed that uses multilayers of negative permittivity (ϵ) and negative permeability (μ) materials. Owing to the excitation of surface polaritons at the interface between the negative-ϵ and negative-μ layers, coherent emission can be achieved for both s and p polarization. Moreover, one can control the emission frequency and direction by adjusting the layer thicknesses.

© 2005 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  8. L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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2004

P. Ben-Abdallah, J. Opt. Soc. Am. A 21, 1368 (2004).
[CrossRef]

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).
[CrossRef]

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

2003

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

2002

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Z. M. Zhang and C. J. Fu, Appl. Phys. Lett. 80, 1097 (2002).
[CrossRef]

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

2001

2000

R. Rupin, Phys. Lett. A 277, 61 (2000).
[CrossRef]

1999

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

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[CrossRef]

1996

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

1986

P. J. Hesketh, J. N. Zemel, and B. Gehart, Nature 325, 549 (1986).
[CrossRef]

Alù, A.

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

Basov, D. N.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

Bayindir, M.

Ben-Abdallah, P.

Biswas, R.

Carminati, R.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Chen, H.

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).
[CrossRef]

Chen, Y.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Engheta, N.

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

Enoch, S.

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

Fang, N.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

Fu, C. J.

Z. M. Zhang and C. J. Fu, Appl. Phys. Lett. 80, 1097 (2002).
[CrossRef]

Gehart, B.

P. J. Hesketh, J. N. Zemel, and B. Gehart, Nature 325, 549 (1986).
[CrossRef]

Greffet, J.-J.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Guérin, N.

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

Herminghaus, S.

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[CrossRef]

Hesketh, P. J.

P. J. Hesketh, J. N. Zemel, and B. Gehart, Nature 325, 549 (1986).
[CrossRef]

Ho, K.-M.

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Rubbins, 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]

Joulain, K.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Knoll, W.

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[CrossRef]

Kreiter, M.

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[CrossRef]

Mainguy, S.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Mittler-Neher, S.

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[CrossRef]

Mulet, J.-P.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Oster, J.

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[CrossRef]

Ozbay, E.

Padilla, W. J.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

Pendry, J. B.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

J. B. Pendry, A. J. Holden, D. J. Rubbins, 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]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1988), Chap. 2.

Rubbins, D. J.

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

Rupin, R.

R. Rupin, Phys. Lett. A 277, 61 (2000).
[CrossRef]

Sabouroux, P.

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

Sambles, R.

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[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]

Sigalas, M. M.

Smith, D. R.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

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. Rubbins, 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]

Temelkuran, B.

Vier, D. C.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

Vincent, P.

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

Wang, L.-G.

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).
[CrossRef]

Yen, T. J.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (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]

Zemel, J. N.

P. J. Hesketh, J. N. Zemel, and B. Gehart, Nature 325, 549 (1986).
[CrossRef]

Zhang, X.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

Zhang, Z. M.

Z. M. Zhang and C. J. Fu, Appl. Phys. Lett. 80, 1097 (2002).
[CrossRef]

Zhu, S.-Y.

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).
[CrossRef]

Appl. Phys. Lett.

Z. M. Zhang and C. J. Fu, Appl. Phys. Lett. 80, 1097 (2002).
[CrossRef]

IEEE Trans. Antennas Propag.

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

IEEE Trans. Microwave Theory Tech.

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

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Nature

P. J. Hesketh, J. N. Zemel, and B. Gehart, Nature 325, 549 (1986).
[CrossRef]

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Opt. Commun.

M. Kreiter, J. Oster, R. Sambles, S. Herminghaus, S. Mittler-Neher, and W. Knoll, Opt. Commun. 168, 117 (1999).
[CrossRef]

Phys. Lett. A

R. Rupin, Phys. Lett. A 277, 61 (2000).
[CrossRef]

Phys. Rev. B

L.-G. Wang, H. Chen, and S.-Y. Zhu, Phys. Rev. B 70, 245102 (2004).
[CrossRef]

Phys. Rev. Lett.

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

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

Science

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, Science 303, 1494 (2004).
[CrossRef] [PubMed]

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

Other

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1988), Chap. 2.

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Figures (4)

Fig. 1
Fig. 1

Dispersion relations of surface polaritons at the interface of the two layers that make the bilayer (inset). Dashed lines, s polarization; solid lines, p polarization; dotted line, dispersion relation in vacuum.

Fig. 2
Fig. 2

Emissivity ε λ , θ of the bilayer structure for s polarization versus ω ω p for 30° and 60° emission angles. Inset, the angular distribution for ω = 0.584 ω p (solid curve) and ω = 0.592 ω p (dashed curve).

Fig. 3
Fig. 3

Dispersion curves of a three-layer structure (inset), where the negative μ layer is sandwiched by two negative ε layers of the same material.

Fig. 4
Fig. 4

Emissivity spectrum of the three-layer structure for p polarization at 30° emission angle with d 2 = 0.53 λ p and two values of d 3 . Inset, angular distribution for both d 3 = 0.1 λ p and d 3 = 0.07 λ p at their corresponding values of ω c .

Equations (6)

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

k 2 z μ 2 + k 3 z μ 3 = 0
k 2 z ϵ 2 + k 3 z ϵ 3 = 0 .
ϵ 2 ( ω ) = 1 ω p 2 ω 2 + i γ e ω , μ 2 ( ω ) = 1 ,
μ 3 ( ω ) = 1 F ω 2 ω 2 ω 0 2 + i γ m ω , ϵ 3 ( ω ) = ϵ 3 ,
k 2 z ϵ 2 + k 3 z ϵ 3 tanh ( k 3 z d 3 2 i ) = 0 ,
k 2 z ϵ 2 + k 3 z ϵ 3 coth ( k 3 z d 3 2 i ) = 0 .

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