Abstract

The characteristics of the guided electromagnetic wave propagation through a subwavelength hole surrounded by a doubly dispersive metamaterial are investigated. Characteristic equations are derived for the surface polariton modes related to the subwavelength hole and mode classifications established. The surface polariton modes for two different hole-radii are numerically obtained and their electromagnetic dispersion curves and power flux characteristics analyzed and compared with each other. In particular, it was found that the border of the counter-propagation between the forward and backward Poynting vectors was located within the metamaterial, rather than at the interface between the metamaterial and the free space.

© 2005 Optical Society of America

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    [Crossref] [PubMed]
  3. L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
    [Crossref] [PubMed]
  4. F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
    [Crossref] [PubMed]
  5. A. Degiron and T. W. Ebbesen, “Analysis of the transmission process through single apertures surrounded by periodic corrugations,” Opt. Express 12, 3694–3670 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3694
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  6. A. Degiron, H. J. Lezec, N. Yammamoto, and T. W. Ebbesen, “Optical transmission properties of a single subwavelnegth aperture in a real metal,” Opt. Commun. 239, 61–64 (2004).
    [Crossref]
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  8. A. V. Klyuchnik, S. Y. Kurganov, and Y. E. Lozovik, “Plasma optics of nanostructures,” Phys. Solid State 45, 1327–1331 (2003).
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  11. R. Ruppin, “Surface polaritons of a left-handed medium,” Phys. Lett. A 277, 61–64 (2000).
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  14. I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E 67, 057602 (2003).
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  15. H. Dong and T. X. Wu, “Analysis of discontinuities in double-negative (DNG) slab waveguides,” Microwave Opt. Tech. Lett. 39, 483–488 (2003).
    [Crossref]
  16. H. Cory and A. Barger, “Surface-wave propagation along a metamaterial slab,” Microwave Opt. Tech. Lett. 38, 392–395 (2003).
    [Crossref]
  17. B. -I. Wu, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability,” J. Appl. Phys. 93, 9386–9388 (2003).
    [Crossref]
  18. P. Baccarelli, P. Burghignoli, G. Lovat, and S. Paulotto, “Surface-wave suppression in a double-negative metamaterial grounded slab,” IEEE Ant. Wireless Prop. Lett. 2, 269–272 (2003).
    [Crossref]
  19. M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microwave Opt. Tech. Lett. 44, 494–498 (2005).
    [Crossref]
  20. J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
    [Crossref]
  21. A. C. Peacock and N. G. R. Broderick, “Guided modes in channel waveguides with a negative index of refraction,” Opt. Express 11, 2502–2510 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-20-2502
    [Crossref] [PubMed]
  22. A. V. Novitsky and L. M. Barkovsky, “Guided modes in negative-refractive-index fibres,” J. Opt. A: Pure Appl. Opt 7, S51–S56 (2005).
    [Crossref]
  23. H. Cory and T. Blum, Surface-wave propagation along a metamaterial cylindrical guide, MicrowaveOpt. Tech. Lett. 44, 31–35 (2005).
    [Crossref]
  24. K. Y. Kim, Guided and Leaky Modes of Circular Open Electromagnetic Waveguides: Dielectric, Plasma, and Metamaterial Columns, Ph.D. Thesis, Kyungpook National University, (2004), http://palgong.knu.ac.kr/~doors/PDFs/PhDThesis.pdf
  25. A. Safaai-Jazi and G. L. Yip, “Classification of hybrid modes in cylindrical dielectric optical waveguides,” Radio Sci. 12, 603–609 (1977).
    [Crossref]
  26. V. L. Granatstein, S. P. Schlesinger, and A. Vigants, “The open plasmaguide in extreme of magnetic field,” IEEE Trans. Ant. Prop. 11, 489–496 (1963).
    [Crossref]
  27. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and µ,” Sov. Phys. Usp. 10, 509–514 (1968).
    [Crossref]
  28. K. Halterman, J. M. Elson, and P. L. Overfelt, “Characteristics of bound modes in coupled dielectric waveguides containing negative index media,” Opt. Express 11, 521–529 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-6-521
    [Crossref] [PubMed]
  29. A. A. Oliner and T. Tamir, “Backward waves on isotropic plasma slabs,” J. Appl. Phys. 33, 231–233 (1962)
    [Crossref]
  30. T. Tamir and S. Palócz, “Surface waves on plasma-clad metal rods,” IEEE Trans. Microwave Theory Tech. 12, 189–196 (1964).
    [Crossref]
  31. I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
    [Crossref]

2005 (5)

N. Bonod, E. Popov, and M. Nevière, “Light transmission through a subwavelength microstructured aperture: electromagnetic theory and applications,” Opt. Commun. 245, 355–361 (2005).
[Crossref]

H. O. Moser, B. D. F. Casse, O. Wilhelmi, and B. T. Saw, “Terahertz response of a microfabricated rod-split-ring-resonator electromagnetic metamaterial,” Phys. Rev. Lett. 94, 063901 (2005).
[Crossref] [PubMed]

M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microwave Opt. Tech. Lett. 44, 494–498 (2005).
[Crossref]

A. V. Novitsky and L. M. Barkovsky, “Guided modes in negative-refractive-index fibres,” J. Opt. A: Pure Appl. Opt 7, S51–S56 (2005).
[Crossref]

H. Cory and T. Blum, Surface-wave propagation along a metamaterial cylindrical guide, MicrowaveOpt. Tech. Lett. 44, 31–35 (2005).
[Crossref]

2004 (4)

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
[Crossref]

A. Degiron, H. J. Lezec, N. Yammamoto, and T. W. Ebbesen, “Optical transmission properties of a single subwavelnegth aperture in a real metal,” Opt. Commun. 239, 61–64 (2004).
[Crossref]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

A. Degiron and T. W. Ebbesen, “Analysis of the transmission process through single apertures surrounded by periodic corrugations,” Opt. Express 12, 3694–3670 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3694
[Crossref] [PubMed]

2003 (10)

K. Halterman, J. M. Elson, and P. L. Overfelt, “Characteristics of bound modes in coupled dielectric waveguides containing negative index media,” Opt. Express 11, 521–529 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-6-521
[Crossref] [PubMed]

A. C. Peacock and N. G. R. Broderick, “Guided modes in channel waveguides with a negative index of refraction,” Opt. Express 11, 2502–2510 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-20-2502
[Crossref] [PubMed]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[Crossref] [PubMed]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E 67, 057602 (2003).
[Crossref]

H. Dong and T. X. Wu, “Analysis of discontinuities in double-negative (DNG) slab waveguides,” Microwave Opt. Tech. Lett. 39, 483–488 (2003).
[Crossref]

H. Cory and A. Barger, “Surface-wave propagation along a metamaterial slab,” Microwave Opt. Tech. Lett. 38, 392–395 (2003).
[Crossref]

B. -I. Wu, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability,” J. Appl. Phys. 93, 9386–9388 (2003).
[Crossref]

P. Baccarelli, P. Burghignoli, G. Lovat, and S. Paulotto, “Surface-wave suppression in a double-negative metamaterial grounded slab,” IEEE Ant. Wireless Prop. Lett. 2, 269–272 (2003).
[Crossref]

A. V. Klyuchnik, S. Y. Kurganov, and Y. E. Lozovik, “Plasma optics of nanostructures,” Phys. Solid State 45, 1327–1331 (2003).
[Crossref]

2002 (1)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

2001 (2)

2000 (2)

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

R. Ruppin, “Surface polaritons of a left-handed medium,” Phys. Lett. A 277, 61–64 (2000).
[Crossref]

1977 (1)

A. Safaai-Jazi and G. L. Yip, “Classification of hybrid modes in cylindrical dielectric optical waveguides,” Radio Sci. 12, 603–609 (1977).
[Crossref]

1968 (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and µ,” Sov. Phys. Usp. 10, 509–514 (1968).
[Crossref]

1964 (1)

T. Tamir and S. Palócz, “Surface waves on plasma-clad metal rods,” IEEE Trans. Microwave Theory Tech. 12, 189–196 (1964).
[Crossref]

1963 (1)

V. L. Granatstein, S. P. Schlesinger, and A. Vigants, “The open plasmaguide in extreme of magnetic field,” IEEE Trans. Ant. Prop. 11, 489–496 (1963).
[Crossref]

1962 (1)

A. A. Oliner and T. Tamir, “Backward waves on isotropic plasma slabs,” J. Appl. Phys. 33, 231–233 (1962)
[Crossref]

Baccarelli, P.

P. Baccarelli, P. Burghignoli, G. Lovat, and S. Paulotto, “Surface-wave suppression in a double-negative metamaterial grounded slab,” IEEE Ant. Wireless Prop. Lett. 2, 269–272 (2003).
[Crossref]

Barger, A.

H. Cory and A. Barger, “Surface-wave propagation along a metamaterial slab,” Microwave Opt. Tech. Lett. 38, 392–395 (2003).
[Crossref]

Barkovsky, L. M.

A. V. Novitsky and L. M. Barkovsky, “Guided modes in negative-refractive-index fibres,” J. Opt. A: Pure Appl. Opt 7, S51–S56 (2005).
[Crossref]

Blum, T.

H. Cory and T. Blum, Surface-wave propagation along a metamaterial cylindrical guide, MicrowaveOpt. Tech. Lett. 44, 31–35 (2005).
[Crossref]

Boardman, A. D.

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

Bonod, N.

N. Bonod, E. Popov, and M. Nevière, “Light transmission through a subwavelength microstructured aperture: electromagnetic theory and applications,” Opt. Commun. 245, 355–361 (2005).
[Crossref]

Broderick, N. G. R.

Burghignoli, P.

P. Baccarelli, P. Burghignoli, G. Lovat, and S. Paulotto, “Surface-wave suppression in a double-negative metamaterial grounded slab,” IEEE Ant. Wireless Prop. Lett. 2, 269–272 (2003).
[Crossref]

Casse, B. D. F.

H. O. Moser, B. D. F. Casse, O. Wilhelmi, and B. T. Saw, “Terahertz response of a microfabricated rod-split-ring-resonator electromagnetic metamaterial,” Phys. Rev. Lett. 94, 063901 (2005).
[Crossref] [PubMed]

Chen, Z.

M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microwave Opt. Tech. Lett. 44, 494–498 (2005).
[Crossref]

Cory, H.

H. Cory and T. Blum, Surface-wave propagation along a metamaterial cylindrical guide, MicrowaveOpt. Tech. Lett. 44, 31–35 (2005).
[Crossref]

H. Cory and A. Barger, “Surface-wave propagation along a metamaterial slab,” Microwave Opt. Tech. Lett. 38, 392–395 (2003).
[Crossref]

Degiron, A.

A. Degiron, H. J. Lezec, N. Yammamoto, and T. W. Ebbesen, “Optical transmission properties of a single subwavelnegth aperture in a real metal,” Opt. Commun. 239, 61–64 (2004).
[Crossref]

A. Degiron and T. W. Ebbesen, “Analysis of the transmission process through single apertures surrounded by periodic corrugations,” Opt. Express 12, 3694–3670 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3694
[Crossref] [PubMed]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

Devaux, E.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

Dong, H.

H. Dong and T. X. Wu, “Analysis of discontinuities in double-negative (DNG) slab waveguides,” Microwave Opt. Tech. Lett. 39, 483–488 (2003).
[Crossref]

Ebbesen, T. W.

A. Degiron, H. J. Lezec, N. Yammamoto, and T. W. Ebbesen, “Optical transmission properties of a single subwavelnegth aperture in a real metal,” Opt. Commun. 239, 61–64 (2004).
[Crossref]

A. Degiron and T. W. Ebbesen, “Analysis of the transmission process through single apertures surrounded by periodic corrugations,” Opt. Express 12, 3694–3670 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3694
[Crossref] [PubMed]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[Crossref] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

T. Thio, K. M. Pellerin, R. A. Linke., H. J. Lezec, and T. W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

Egan, P.

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

Elson, J. M.

Forester, D. W.

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
[Crossref]

Garcia-Vidal, F. J.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

García-Vidal, F. J.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[Crossref] [PubMed]

Granatstein, V. L.

V. L. Granatstein, S. P. Schlesinger, and A. Vigants, “The open plasmaguide in extreme of magnetic field,” IEEE Trans. Ant. Prop. 11, 489–496 (1963).
[Crossref]

Grzegorczyk, T. M.

B. -I. Wu, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability,” J. Appl. Phys. 93, 9386–9388 (2003).
[Crossref]

Halterman, K.

Kim, K. Y.

K. Y. Kim, Guided and Leaky Modes of Circular Open Electromagnetic Waveguides: Dielectric, Plasma, and Metamaterial Columns, Ph.D. Thesis, Kyungpook National University, (2004), http://palgong.knu.ac.kr/~doors/PDFs/PhDThesis.pdf

Kivshar, Y. S.

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E 67, 057602 (2003).
[Crossref]

Klyuchnik, A. V.

A. V. Klyuchnik, S. Y. Kurganov, and Y. E. Lozovik, “Plasma optics of nanostructures,” Phys. Solid State 45, 1327–1331 (2003).
[Crossref]

Kong, J. A.

B. -I. Wu, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability,” J. Appl. Phys. 93, 9386–9388 (2003).
[Crossref]

Kurganov, S. Y.

A. V. Klyuchnik, S. Y. Kurganov, and Y. E. Lozovik, “Plasma optics of nanostructures,” Phys. Solid State 45, 1327–1331 (2003).
[Crossref]

Lezec, H. J.

A. Degiron, H. J. Lezec, N. Yammamoto, and T. W. Ebbesen, “Optical transmission properties of a single subwavelnegth aperture in a real metal,” Opt. Commun. 239, 61–64 (2004).
[Crossref]

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[Crossref] [PubMed]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

T. Thio, K. M. Pellerin, R. A. Linke., H. J. Lezec, and T. W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

Linke, R. A.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

Linke., R. A.

Loschialpo, P. F.

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
[Crossref]

Lovat, G.

P. Baccarelli, P. Burghignoli, G. Lovat, and S. Paulotto, “Surface-wave suppression in a double-negative metamaterial grounded slab,” IEEE Ant. Wireless Prop. Lett. 2, 269–272 (2003).
[Crossref]

Lozovik, Y. E.

A. V. Klyuchnik, S. Y. Kurganov, and Y. E. Lozovik, “Plasma optics of nanostructures,” Phys. Solid State 45, 1327–1331 (2003).
[Crossref]

Martin-Moreno, L.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

Martín-Moreno, L.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[Crossref] [PubMed]

Medgye-Mitschang, L. N.

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
[Crossref]

Monzon, C.

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
[Crossref]

Moser, H. O.

H. O. Moser, B. D. F. Casse, O. Wilhelmi, and B. T. Saw, “Terahertz response of a microfabricated rod-split-ring-resonator electromagnetic metamaterial,” Phys. Rev. Lett. 94, 063901 (2005).
[Crossref] [PubMed]

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Nevière, M.

N. Bonod, E. Popov, and M. Nevière, “Light transmission through a subwavelength microstructured aperture: electromagnetic theory and applications,” Opt. Commun. 245, 355–361 (2005).
[Crossref]

Novitsky, A. V.

A. V. Novitsky and L. M. Barkovsky, “Guided modes in negative-refractive-index fibres,” J. Opt. A: Pure Appl. Opt 7, S51–S56 (2005).
[Crossref]

Oliner, A. A.

A. A. Oliner and T. Tamir, “Backward waves on isotropic plasma slabs,” J. Appl. Phys. 33, 231–233 (1962)
[Crossref]

Overfelt, P. L.

Padilla, W. J.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Palócz, S.

T. Tamir and S. Palócz, “Surface waves on plasma-clad metal rods,” IEEE Trans. Microwave Theory Tech. 12, 189–196 (1964).
[Crossref]

Paulotto, S.

P. Baccarelli, P. Burghignoli, G. Lovat, and S. Paulotto, “Surface-wave suppression in a double-negative metamaterial grounded slab,” IEEE Ant. Wireless Prop. Lett. 2, 269–272 (2003).
[Crossref]

Peacock, A. C.

Pellerin, K. M.

Popov, E.

N. Bonod, E. Popov, and M. Nevière, “Light transmission through a subwavelength microstructured aperture: electromagnetic theory and applications,” Opt. Commun. 245, 355–361 (2005).
[Crossref]

Raether, H.

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

Ruppin, R.

R. Ruppin, “Surface polaritons of a left-handed material slab,” J. Phys.: Condens. Matter 131811–1819 (2001).
[Crossref]

R. Ruppin, “Surface polaritons of a left-handed medium,” Phys. Lett. A 277, 61–64 (2000).
[Crossref]

Safaai-Jazi, A.

A. Safaai-Jazi and G. L. Yip, “Classification of hybrid modes in cylindrical dielectric optical waveguides,” Radio Sci. 12, 603–609 (1977).
[Crossref]

Saw, B. T.

H. O. Moser, B. D. F. Casse, O. Wilhelmi, and B. T. Saw, “Terahertz response of a microfabricated rod-split-ring-resonator electromagnetic metamaterial,” Phys. Rev. Lett. 94, 063901 (2005).
[Crossref] [PubMed]

Schelleng, J.

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
[Crossref]

Schlesinger, S. P.

V. L. Granatstein, S. P. Schlesinger, and A. Vigants, “The open plasmaguide in extreme of magnetic field,” IEEE Trans. Ant. Prop. 11, 489–496 (1963).
[Crossref]

Schultz, S.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Shadrivov, I. V.

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E 67, 057602 (2003).
[Crossref]

Smith, D. R.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Sukhorukov, A. A.

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E 67, 057602 (2003).
[Crossref]

Suwailiam, M. M. B.

M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microwave Opt. Tech. Lett. 44, 494–498 (2005).
[Crossref]

Tamir, T.

T. Tamir and S. Palócz, “Surface waves on plasma-clad metal rods,” IEEE Trans. Microwave Theory Tech. 12, 189–196 (1964).
[Crossref]

A. A. Oliner and T. Tamir, “Backward waves on isotropic plasma slabs,” J. Appl. Phys. 33, 231–233 (1962)
[Crossref]

Thio, T.

Veselago, V. G.

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and µ,” Sov. Phys. Usp. 10, 509–514 (1968).
[Crossref]

Vier, D. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Vigants, A.

V. L. Granatstein, S. P. Schlesinger, and A. Vigants, “The open plasmaguide in extreme of magnetic field,” IEEE Trans. Ant. Prop. 11, 489–496 (1963).
[Crossref]

Wilhelmi, O.

H. O. Moser, B. D. F. Casse, O. Wilhelmi, and B. T. Saw, “Terahertz response of a microfabricated rod-split-ring-resonator electromagnetic metamaterial,” Phys. Rev. Lett. 94, 063901 (2005).
[Crossref] [PubMed]

Wu, B. -I.

B. -I. Wu, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability,” J. Appl. Phys. 93, 9386–9388 (2003).
[Crossref]

Wu, T. X.

H. Dong and T. X. Wu, “Analysis of discontinuities in double-negative (DNG) slab waveguides,” Microwave Opt. Tech. Lett. 39, 483–488 (2003).
[Crossref]

Yammamoto, N.

A. Degiron, H. J. Lezec, N. Yammamoto, and T. W. Ebbesen, “Optical transmission properties of a single subwavelnegth aperture in a real metal,” Opt. Commun. 239, 61–64 (2004).
[Crossref]

Yip, G. L.

A. Safaai-Jazi and G. L. Yip, “Classification of hybrid modes in cylindrical dielectric optical waveguides,” Radio Sci. 12, 603–609 (1977).
[Crossref]

Zhang, Y.

B. -I. Wu, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability,” J. Appl. Phys. 93, 9386–9388 (2003).
[Crossref]

Zharov, A. A.

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

IEEE Ant. Wireless Prop. Lett. (1)

P. Baccarelli, P. Burghignoli, G. Lovat, and S. Paulotto, “Surface-wave suppression in a double-negative metamaterial grounded slab,” IEEE Ant. Wireless Prop. Lett. 2, 269–272 (2003).
[Crossref]

IEEE Trans. Ant. Prop. (1)

V. L. Granatstein, S. P. Schlesinger, and A. Vigants, “The open plasmaguide in extreme of magnetic field,” IEEE Trans. Ant. Prop. 11, 489–496 (1963).
[Crossref]

IEEE Trans. Microwave Theory Tech. (1)

T. Tamir and S. Palócz, “Surface waves on plasma-clad metal rods,” IEEE Trans. Microwave Theory Tech. 12, 189–196 (1964).
[Crossref]

J. Appl. Phys. (2)

A. A. Oliner and T. Tamir, “Backward waves on isotropic plasma slabs,” J. Appl. Phys. 33, 231–233 (1962)
[Crossref]

B. -I. Wu, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability,” J. Appl. Phys. 93, 9386–9388 (2003).
[Crossref]

J. Opt. A: Pure Appl. Opt (1)

A. V. Novitsky and L. M. Barkovsky, “Guided modes in negative-refractive-index fibres,” J. Opt. A: Pure Appl. Opt 7, S51–S56 (2005).
[Crossref]

J. Phys.: Condens. Matter (1)

R. Ruppin, “Surface polaritons of a left-handed material slab,” J. Phys.: Condens. Matter 131811–1819 (2001).
[Crossref]

Microwave Opt. Tech. Lett. (3)

H. Dong and T. X. Wu, “Analysis of discontinuities in double-negative (DNG) slab waveguides,” Microwave Opt. Tech. Lett. 39, 483–488 (2003).
[Crossref]

H. Cory and A. Barger, “Surface-wave propagation along a metamaterial slab,” Microwave Opt. Tech. Lett. 38, 392–395 (2003).
[Crossref]

M. M. B. Suwailiam and Z. Chen, “Surface waves on a grounded double-negative (DNG) slab waveguide,” Microwave Opt. Tech. Lett. 44, 494–498 (2005).
[Crossref]

Opt. Commun. (2)

A. Degiron, H. J. Lezec, N. Yammamoto, and T. W. Ebbesen, “Optical transmission properties of a single subwavelnegth aperture in a real metal,” Opt. Commun. 239, 61–64 (2004).
[Crossref]

N. Bonod, E. Popov, and M. Nevière, “Light transmission through a subwavelength microstructured aperture: electromagnetic theory and applications,” Opt. Commun. 245, 355–361 (2005).
[Crossref]

Opt. Express (3)

Opt. Lett. (1)

Opt. Tech. Lett. (1)

H. Cory and T. Blum, Surface-wave propagation along a metamaterial cylindrical guide, MicrowaveOpt. Tech. Lett. 44, 31–35 (2005).
[Crossref]

Phys Rev E (1)

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgye-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys Rev E 70, 066606 (2004).
[Crossref]

Phys. Lett. A (1)

R. Ruppin, “Surface polaritons of a left-handed medium,” Phys. Lett. A 277, 61–64 (2000).
[Crossref]

Phys. Rev. E (2)

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E 67, 057602 (2003).
[Crossref]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004)
[Crossref]

Phys. Rev. Lett. (4)

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

H. O. Moser, B. D. F. Casse, O. Wilhelmi, and B. T. Saw, “Terahertz response of a microfabricated rod-split-ring-resonator electromagnetic metamaterial,” Phys. Rev. Lett. 94, 063901 (2005).
[Crossref] [PubMed]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[Crossref] [PubMed]

Phys. Solid State (1)

A. V. Klyuchnik, S. Y. Kurganov, and Y. E. Lozovik, “Plasma optics of nanostructures,” Phys. Solid State 45, 1327–1331 (2003).
[Crossref]

Radio Sci. (1)

A. Safaai-Jazi and G. L. Yip, “Classification of hybrid modes in cylindrical dielectric optical waveguides,” Radio Sci. 12, 603–609 (1977).
[Crossref]

Science (1)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 820–822 (2002).
[Crossref] [PubMed]

Sov. Phys. Usp. (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and µ,” Sov. Phys. Usp. 10, 509–514 (1968).
[Crossref]

Other (2)

K. Y. Kim, Guided and Leaky Modes of Circular Open Electromagnetic Waveguides: Dielectric, Plasma, and Metamaterial Columns, Ph.D. Thesis, Kyungpook National University, (2004), http://palgong.knu.ac.kr/~doors/PDFs/PhDThesis.pdf

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

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Figures (8)

Fig. 1.
Fig. 1.

Schematic view of subwavelength DDMTM hole with diameter D=2a in cylindrical coordinate system. The inner and outer regions are the free space (region 1) and DDMTM (region 2), respectively.

Fig. 2.
Fig. 2.

Material constants of DDMTM. The DNG and ENG regions are from 4 to 6 GHz and 6 to 10 GHz, respectively.

Fig. 3.
Fig. 3.

Allowed SP mode region of DDMTM hole for DNG and SNG cases. (a) DNG with μ r 2 ε r 2 > μ r 1 ε r 1 , (b) DNG with μ r 1 ε r 1 > μ r 2 ε r 2 , and (c) SNG (ENG or MNG).

Fig. 4.
Fig. 4.

TE-like modes of DDMTM hole with D=20.0 mm. (a) Dispersion curves and (b) normalized power flux. Corresponding operating wave numbers are also shown.

Fig. 5.
Fig. 5.

TE-like modes of DDMTM hole with D=2.0 mm. (a) Dispersion curves and (b) normalized power flux. Insets are enlarged scales. Corresponding operating wave numbers are also shown.

Fig. 6.
Fig. 6.

TM-like modes of DDMTM hole with D=20.0 mm. (a) Dispersion curves and (b) normalized power flux. Corresponding operating wave numbers are also shown.

Fig. 7.
Fig. 7.

TM-like modes of DDMTM hole with D=2.0 mm. (a) Dispersion curves and (b) normalized power flux. The inset in (b) is an enlarged scale of the normalized power flux for the HE11 mode. At 7.32 GHz (point b), η=0. Points a, b, c, d, e, and f indicate the positions of the plots of the Ponyting vectors S z1 and S z2 in Fig. 8.

Fig. 8.
Fig. 8.

Spatial power distributions of Poynting vectors Sz1 and Sz2. Amplitude is an arbitrary unit.

Equations (9)

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

ε r 2 ( ω ) = 1 ω p 2 ω 2
μ r 2 ( ω ) = 1 F ω 2 ω 2 ω 0 2
[ ε r 1 k 1 I m ( k 1 a ) I m ( k 1 a ) ε r 2 k 2 K m ( k 2 a ) K m ( k 2 a ) ] [ μ r 1 k 1 I m ( k 1 a ) I m ( k 1 a ) μ r 2 k 2 K m ( k 2 a ) K m ( k 2 a ) ] = [ m β k 0 a ( 1 k 1 2 1 k 2 2 ) ] 2 .
ε r 1 k 1 I 1 ( k 1 a ) I 0 ( k 1 a ) + ε r 2 k 2 K 1 ( k 2 a ) K 0 ( k 2 a ) = 0
μ r 1 k 1 I 1 ( k 1 a ) I 0 ( k 1 a ) + μ r 2 k 2 K 1 ( k 2 a ) K 0 ( k 2 a ) = 0 .
( μ r 2 μ r 1 + ε r 2 ε r 1 ) Q 2 ± { ( μ r 2 μ r 1 + ε r 2 ε r 1 ) Q 2 } 2 + R μ r 1 ε r 1 P = 0
P = 1 k 1 a ( I m 1 ( k 1 a ) I m ( k 1 a ) m k 1 a )
Q = 1 k 2 a ( K m 1 ( k 2 a ) K m ( k 2 a ) + m k 2 a )
R = { m β k 0 a 2 ( 1 k 1 2 1 k 2 2 ) } 2 .

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