Abstract

Light transmission along dispersive plasmonic gap with varied gap widths and its subwavelength guidance characteristics are numerically investigated over a wide frequency range. Mode numbers for each guided modes of the dispersive plasmonic gaps are properly assigned in order to be in consistency with the parallel plate waveguide composed of the perfect electric conductor. Overall and salient features of the role of the gap widths on the guided propagation characteristics are clearly understood by investigating several dispersion curves of varied gap widths. Cutoff frequency downshifts of the dispersive plasmonic gap compared with the perfect electric conductor based parallel plate waveguides are also observed. Finally, surface plasmon polariton modes having subwavelength guidance capability are described in more detail, which are directly governed by the plasmonic property of the metals. The results are expected to be utilized in designing various potential subwavelength nanophotonic devices.

© 2006 Optical Society of America

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  9. S. A. Maier, “Gain-assisted propagation of electromagnetic energy in subwavelength surface plasmon polariton gap waveguides,” Opt. Comm. (to be published).
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  14. R. Zia, M. D. Selker, P. B. Catrysse, and M. Brongersma, “Geometries and materials for subwavelength surface plasmon modes,” J. Opt. Soc. Am. A 21, 2442–2446 (2004).
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  31. X. Zhang, “Subwavelength far-field resolution in a square two-dimensional photonic crystal,” Phys. Rev. E 71, 037601 (2005).
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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]
  41. P. Tournois and V. Laude, “Negative group velocities in metal-film optical waveguides,” Opt. Commun. 137, 41–45 (1997).
    [Crossref]
  42. K. Y. Kim, J. -H. Lee, Y. K. Cho, and H. -S. Tae, “Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole,” Opt. Express, 13, 3653–3665 (2005),
    [Crossref]
  43. I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E 67, 057602 (2003).
    [Crossref]
  44. 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,#x201d; Phys. Rev. E 69, 016617 (2004).
    [Crossref]
  45. J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgyesi-Mitschang, “Characteristics of waves guided by a grounded “left-handed” material slab of finite extent,” Phys. Rev. E 70, 066606 (2004).
    [Crossref]
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2005 (11)

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95, 103901 (2005).
[Crossref] [PubMed]

G. Veronis and S. Fan, “Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides,” Appl. Phys. Lett. 87, 131102 (2005).
[Crossref]

H. Shin, P. B. Catrysse, and S. Fan, “Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes,” Phys. Rev. B 72, 085436 (2005).
[Crossref]

R. Gordon and A. G. Brolo, “Increased cut-off wavelength for a subwavelength hole in a real metal,” Opt. Express 13, 1933–1938 (2005).
[Crossref] [PubMed]

D. -K. Qing and G. Chen, “Nanoscale optical waveguides with negative dielectric cladding,” Phys. Rev. B 71, 153107 (2005).
[Crossref]

G. D’Aguanno, N. Mattiucci, M. Scalora, and M. J. Bloemer, “TE and TM guided modes in an air waveguide with negative-index-material cladding,” Phys. Rev. E 71, 046603 (2005).
[Crossref]

X. Zhang and L. -M. Li, “Creating all-angle-negative refraction by using insertion,” Appl. Phys. Lett. 86, 121103 (2005).
[Crossref]

X. Zhang, “Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens,” Phys. Rev. B 71, 165116 (2005).
[Crossref]

X. Zhang, “Subwavelength far-field resolution in a square two-dimensional photonic crystal,” Phys. Rev. E 71, 037601 (2005).
[Crossref]

X. Zhang, “Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave,” Phys. Rev. B 71, 235103 (2005).
[Crossref]

K. Y. Kim, J. -H. Lee, Y. K. Cho, and H. -S. Tae, “Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole,” Opt. Express, 13, 3653–3665 (2005),
[Crossref]

2004 (6)

X. Zhang, “Image resolution depending on slab thickness and object distance in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. B 70, 195110 (2004).
[Crossref]

X. Zhang, “Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals,” Phys. Rev. B 70, 205102 (2004).
[Crossref]

B. Wang and G. P. Wang, “Metal heterowaveguides for nanometric focusing of light,” Appl. Phys. Lett. 85, 3599–3601 (2004).
[Crossref]

R. Zia, M. D. Selker, P. B. Catrysse, and M. Brongersma, “Geometries and materials for subwavelength surface plasmon modes,” J. Opt. Soc. Am. A 21, 2442–2446 (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,#x201d; Phys. Rev. E 69, 016617 (2004).
[Crossref]

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

2003 (3)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

K. Tanaka and M. Tanaka, “Simulations of nanometric optical circuits based on surface plasmon polariton gap waveguide,” Appl. Phys. Lett. 82, 1158–1160 (2003).
[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]

1999 (1)

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

1998 (2)

A. D. Rakié, A. B. Djurišié, J. M. Elazar, and M. L. Majewski, “Optical properties of metallic films for vertical-cavity optielectronic devices,” Appl. Opt. 37, 5271–5283 (1998).
[Crossref]

L. -M. Li, Z. -Q. Zhang, and X. Zhang, “Transmission and absorption properties of two-dimensional metallic photonic-band-gap materials,” Phys. Rev. B 58, 15589–15594 (1998).
[Crossref]

1997 (1)

P. Tournois and V. Laude, “Negative group velocities in metal-film optical waveguides,” Opt. Commun. 137, 41–45 (1997).
[Crossref]

1995 (1)

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Metallic photonic band-gap materials,” Phys. Rev. B 52, 11744–11751 (1995).
[Crossref]

1994 (1)

L. Novotny and C. Hafner, “Light propagation in a cylindrical waveguide with a complex, metallic, dielectric function,” Phys. Rev. E 50, 4094–4106 (1994).
[Crossref]

1991 (2)

B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 (1991).
[Crossref]

D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic Press, San Diego, 1991).

1976 (1)

K. Nosu and J. Hamasaki, “The influence of the longitudinal plasma wave on the propagation characteristics of a metal-clad-dielectric-slab waveguide,” IEEE J. Quantum. Electron. 12, 745–748 (1976).
[Crossref]

1972 (1)

T. Takano and J. Hamasaki, “Propagating modes of a metal-clad-dielectric slab waveguide for integrated optics,” IEEE J. Quantum Elec. 8, 206–212 (1972).
[Crossref]

1969 (1)

E. N. Economou, “Surface plasmons in thin films,” Phys. Rev. 182, 539–554 (1969).
[Crossref]

1966 (1)

C. Davis and T. Tamir, “Surface and interface waves in plasma gaps,” J. Appl. Phys. 37, 461–462 (1966).
[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 (2)

T. Tamir and A. A. Oliner, “The spectrum of electromagnetic waves guided by a plasma layer,” Proc. IEEE 51, 317–332 (1963).
[Crossref]

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

1962 (2)

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

A. J. Lichtenberg and J. R. Woodyard, “Plasma waveguides as low loss structures,” J. Appl. Phys. 33, 1976–1979 (1962).
[Crossref]

1954 (1)

C. J. Bouwkamp, “Diffraction theory,” Rep. Prog. Phys. 17, 35–100 (1954).
[Crossref]

1950 (1)

C. J. Bouwkamp, “On Bethe’s theory of diffraction by small holes,” Philips Res. Rep. 5, 321–332 (1950)

1944 (1)

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66, 163–182 (1944).
[Crossref]

Aliev, Yu. M.

Yu. M. Aliev, H. Schlüter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer-Verlag, Heidelberg, 2000), Chap. 3.

Allis, W. P.

W. P. Allis, S. J. Buchsbaum, and A. Bers, Waves in Anisotropic Plasmas (The MIT Press, Cambridge, 1963), Chap. 10.

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

Bers, A.

W. P. Allis, S. J. Buchsbaum, and A. Bers, Waves in Anisotropic Plasmas (The MIT Press, Cambridge, 1963), Chap. 10.

Bethe, H. A.

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66, 163–182 (1944).
[Crossref]

Bloemer, M. J.

G. D’Aguanno, N. Mattiucci, M. Scalora, and M. J. Bloemer, “TE and TM guided modes in an air waveguide with negative-index-material cladding,” Phys. Rev. E 71, 046603 (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,#x201d; Phys. Rev. E 69, 016617 (2004).
[Crossref]

Bouwkamp, C. J.

C. J. Bouwkamp, “Diffraction theory,” Rep. Prog. Phys. 17, 35–100 (1954).
[Crossref]

C. J. Bouwkamp, “On Bethe’s theory of diffraction by small holes,” Philips Res. Rep. 5, 321–332 (1950)

Brolo, A. G.

Brongersma, M.

Buchsbaum, S. J.

W. P. Allis, S. J. Buchsbaum, and A. Bers, Waves in Anisotropic Plasmas (The MIT Press, Cambridge, 1963), Chap. 10.

Catrysse, P. B.

H. Shin, P. B. Catrysse, and S. Fan, “Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes,” Phys. Rev. B 72, 085436 (2005).
[Crossref]

R. Zia, M. D. Selker, P. B. Catrysse, and M. Brongersma, “Geometries and materials for subwavelength surface plasmon modes,” J. Opt. Soc. Am. A 21, 2442–2446 (2004).
[Crossref]

Chan, C. T.

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Metallic photonic band-gap materials,” Phys. Rev. B 52, 11744–11751 (1995).
[Crossref]

Chen, G.

D. -K. Qing and G. Chen, “Nanoscale optical waveguides with negative dielectric cladding,” Phys. Rev. B 71, 153107 (2005).
[Crossref]

Cho, Y. K.

K. Y. Kim, J. -H. Lee, Y. K. Cho, and H. -S. Tae, “Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole,” Opt. Express, 13, 3653–3665 (2005),
[Crossref]

D’Aguanno, G.

G. D’Aguanno, N. Mattiucci, M. Scalora, and M. J. Bloemer, “TE and TM guided modes in an air waveguide with negative-index-material cladding,” Phys. Rev. E 71, 046603 (2005).
[Crossref]

Davis, C.

C. Davis and T. Tamir, “Surface and interface waves in plasma gaps,” J. Appl. Phys. 37, 461–462 (1966).
[Crossref]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

Djurišié, A. B.

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391, 667–669 (1998).
[Crossref]

Economou, E. N.

E. N. Economou, “Surface plasmons in thin films,” Phys. Rev. 182, 539–554 (1969).
[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,#x201d; Phys. Rev. E 69, 016617 (2004).
[Crossref]

Elazar, J. M.

Fan, S.

H. Shin, P. B. Catrysse, and S. Fan, “Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes,” Phys. Rev. B 72, 085436 (2005).
[Crossref]

G. Veronis and S. Fan, “Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides,” Appl. Phys. Lett. 87, 131102 (2005).
[Crossref]

Forester, D. W.

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

García-Vidal, F. J.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95, 103901 (2005).
[Crossref] [PubMed]

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391, 667–669 (1998).
[Crossref]

Gordon, R.

Granatstein, V. L.

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

Hafner, C.

L. Novotny and C. Hafner, “Light propagation in a cylindrical waveguide with a complex, metallic, dielectric function,” Phys. Rev. E 50, 4094–4106 (1994).
[Crossref]

Hamasaki, J.

K. Nosu and J. Hamasaki, “The influence of the longitudinal plasma wave on the propagation characteristics of a metal-clad-dielectric-slab waveguide,” IEEE J. Quantum. Electron. 12, 745–748 (1976).
[Crossref]

T. Takano and J. Hamasaki, “Propagating modes of a metal-clad-dielectric slab waveguide for integrated optics,” IEEE J. Quantum Elec. 8, 206–212 (1972).
[Crossref]

Ho, K. M.

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Metallic photonic band-gap materials,” Phys. Rev. B 52, 11744–11751 (1995).
[Crossref]

Kim, K. Y.

K. Y. Kim, J. -H. Lee, Y. K. Cho, and H. -S. Tae, “Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole,” Opt. Express, 13, 3653–3665 (2005),
[Crossref]

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,#x201d; 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]

Kong, J. A.

D. H. Staelin, A. W. Morgenthaler, and J. A. Kong , Electromagnetic Waves (Prentice-Hall Inc., New York, 1994), Chap. 7.

Laude, V.

P. Tournois and V. Laude, “Negative group velocities in metal-film optical waveguides,” Opt. Commun. 137, 41–45 (1997).
[Crossref]

Lee, J. -H.

K. Y. Kim, J. -H. Lee, Y. K. Cho, and H. -S. Tae, “Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole,” Opt. Express, 13, 3653–3665 (2005),
[Crossref]

Lezec, H. J.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391, 667–669 (1998).
[Crossref]

Li, L. -M.

X. Zhang and L. -M. Li, “Creating all-angle-negative refraction by using insertion,” Appl. Phys. Lett. 86, 121103 (2005).
[Crossref]

L. -M. Li, Z. -Q. Zhang, and X. Zhang, “Transmission and absorption properties of two-dimensional metallic photonic-band-gap materials,” Phys. Rev. B 58, 15589–15594 (1998).
[Crossref]

Lichtenberg, A. J.

A. J. Lichtenberg and J. R. Woodyard, “Plasma waveguides as low loss structures,” J. Appl. Phys. 33, 1976–1979 (1962).
[Crossref]

Loschialpo, P. F.

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

Maier, S. A.

S. A. Maier, “Gain-assisted propagation of electromagnetic energy in subwavelength surface plasmon polariton gap waveguides,” Opt. Comm. (to be published).

Majewski, M. L.

Marcuse, D.

D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic Press, San Diego, 1991).

Martín-Moreno, L.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95, 103901 (2005).
[Crossref] [PubMed]

Mattiucci, N.

G. D’Aguanno, N. Mattiucci, M. Scalora, and M. J. Bloemer, “TE and TM guided modes in an air waveguide with negative-index-material cladding,” Phys. Rev. E 71, 046603 (2005).
[Crossref]

Medgyesi-Mitschang, L. N.

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

Moreno, E.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95, 103901 (2005).
[Crossref] [PubMed]

Morgenthaler, A. W.

D. H. Staelin, A. W. Morgenthaler, and J. A. Kong , Electromagnetic Waves (Prentice-Hall Inc., New York, 1994), Chap. 7.

Mysyrowicz, A.

B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 (1991).
[Crossref]

Nosu, K.

K. Nosu and J. Hamasaki, “The influence of the longitudinal plasma wave on the propagation characteristics of a metal-clad-dielectric-slab waveguide,” IEEE J. Quantum. Electron. 12, 745–748 (1976).
[Crossref]

Novotny, L.

L. Novotny and C. Hafner, “Light propagation in a cylindrical waveguide with a complex, metallic, dielectric function,” Phys. Rev. E 50, 4094–4106 (1994).
[Crossref]

Oliner, A. A.

T. Tamir and A. A. Oliner, “The spectrum of electromagnetic waves guided by a plasma layer,” Proc. IEEE 51, 317–332 (1963).
[Crossref]

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

Palócz, S.

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

Pendry, J. B.

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

Porto, J. A.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95, 103901 (2005).
[Crossref] [PubMed]

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

Prade, B.

B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 (1991).
[Crossref]

Qing, D. -K.

D. -K. Qing and G. Chen, “Nanoscale optical waveguides with negative dielectric cladding,” Phys. Rev. B 71, 153107 (2005).
[Crossref]

Rakié, A. D.

Scalora, M.

G. D’Aguanno, N. Mattiucci, M. Scalora, and M. J. Bloemer, “TE and TM guided modes in an air waveguide with negative-index-material cladding,” Phys. Rev. E 71, 046603 (2005).
[Crossref]

Schelleng, J.

J. Schelleng, C. Monzon, P. F. Loschialpo, D. W. Forester, and L. N. Medgyesi-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 extremes of magnetic field,” IEEE Trans. Antennas Propag. 11, 489–496 (1963).
[Crossref]

Schlüter, H.

Yu. M. Aliev, H. Schlüter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer-Verlag, Heidelberg, 2000), Chap. 3.

Selker, M. D.

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,#x201d; 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]

Shin, H.

H. Shin, P. B. Catrysse, and S. Fan, “Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes,” Phys. Rev. B 72, 085436 (2005).
[Crossref]

Shivarova, A.

Yu. M. Aliev, H. Schlüter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer-Verlag, Heidelberg, 2000), Chap. 3.

Sigalas, M. M.

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Metallic photonic band-gap materials,” Phys. Rev. B 52, 11744–11751 (1995).
[Crossref]

Soukoulis, C. M.

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Metallic photonic band-gap materials,” Phys. Rev. B 52, 11744–11751 (1995).
[Crossref]

Staelin, D. H.

D. H. Staelin, A. W. Morgenthaler, and J. A. Kong , Electromagnetic Waves (Prentice-Hall Inc., New York, 1994), Chap. 7.

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,#x201d; 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]

Tae, H. -S.

K. Y. Kim, J. -H. Lee, Y. K. Cho, and H. -S. Tae, “Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole,” Opt. Express, 13, 3653–3665 (2005),
[Crossref]

Takano, T.

T. Takano and J. Hamasaki, “Propagating modes of a metal-clad-dielectric slab waveguide for integrated optics,” IEEE J. Quantum Elec. 8, 206–212 (1972).
[Crossref]

Tamir, T.

C. Davis and T. Tamir, “Surface and interface waves in plasma gaps,” J. Appl. Phys. 37, 461–462 (1966).
[Crossref]

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

T. Tamir and A. A. Oliner, “The spectrum of electromagnetic waves guided by a plasma layer,” Proc. IEEE 51, 317–332 (1963).
[Crossref]

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

Tanaka, K.

K. Tanaka and M. Tanaka, “Simulations of nanometric optical circuits based on surface plasmon polariton gap waveguide,” Appl. Phys. Lett. 82, 1158–1160 (2003).
[Crossref]

Tanaka, M.

K. Tanaka and M. Tanaka, “Simulations of nanometric optical circuits based on surface plasmon polariton gap waveguide,” Appl. Phys. Lett. 82, 1158–1160 (2003).
[Crossref]

Thio, T.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391, 667–669 (1998).
[Crossref]

Tournois, P.

P. Tournois and V. Laude, “Negative group velocities in metal-film optical waveguides,” Opt. Commun. 137, 41–45 (1997).
[Crossref]

Unger, H. -G.

H. -G. Unger , Planar Optical Waveguides and Fibers (Clarendon Press, Oxford, 1977).

Veronis, G.

G. Veronis and S. Fan, “Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides,” Appl. Phys. Lett. 87, 131102 (2005).
[Crossref]

Vigants, A.

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

Vinet, J. Y.

B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 (1991).
[Crossref]

Wang, B.

B. Wang and G. P. Wang, “Metal heterowaveguides for nanometric focusing of light,” Appl. Phys. Lett. 85, 3599–3601 (2004).
[Crossref]

Wang, G. P.

B. Wang and G. P. Wang, “Metal heterowaveguides for nanometric focusing of light,” Appl. Phys. Lett. 85, 3599–3601 (2004).
[Crossref]

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391, 667–669 (1998).
[Crossref]

Woodyard, J. R.

A. J. Lichtenberg and J. R. Woodyard, “Plasma waveguides as low loss structures,” J. Appl. Phys. 33, 1976–1979 (1962).
[Crossref]

Zhang, X.

X. Zhang, “Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens,” Phys. Rev. B 71, 165116 (2005).
[Crossref]

X. Zhang, “Subwavelength far-field resolution in a square two-dimensional photonic crystal,” Phys. Rev. E 71, 037601 (2005).
[Crossref]

X. Zhang, “Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave,” Phys. Rev. B 71, 235103 (2005).
[Crossref]

X. Zhang and L. -M. Li, “Creating all-angle-negative refraction by using insertion,” Appl. Phys. Lett. 86, 121103 (2005).
[Crossref]

X. Zhang, “Image resolution depending on slab thickness and object distance in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. B 70, 195110 (2004).
[Crossref]

X. Zhang, “Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals,” Phys. Rev. B 70, 205102 (2004).
[Crossref]

L. -M. Li, Z. -Q. Zhang, and X. Zhang, “Transmission and absorption properties of two-dimensional metallic photonic-band-gap materials,” Phys. Rev. B 58, 15589–15594 (1998).
[Crossref]

Zhang, Z. -Q.

L. -M. Li, Z. -Q. Zhang, and X. Zhang, “Transmission and absorption properties of two-dimensional metallic photonic-band-gap materials,” Phys. Rev. B 58, 15589–15594 (1998).
[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,#x201d; Phys. Rev. E 69, 016617 (2004).
[Crossref]

Zia, R.

Appl. Opt. (1)

Appl. Phys. Lett. (4)

G. Veronis and S. Fan, “Bends and splitters in metal-dielectric-metal subwavelength plasmonic waveguides,” Appl. Phys. Lett. 87, 131102 (2005).
[Crossref]

K. Tanaka and M. Tanaka, “Simulations of nanometric optical circuits based on surface plasmon polariton gap waveguide,” Appl. Phys. Lett. 82, 1158–1160 (2003).
[Crossref]

B. Wang and G. P. Wang, “Metal heterowaveguides for nanometric focusing of light,” Appl. Phys. Lett. 85, 3599–3601 (2004).
[Crossref]

X. Zhang and L. -M. Li, “Creating all-angle-negative refraction by using insertion,” Appl. Phys. Lett. 86, 121103 (2005).
[Crossref]

IEEE J. Quantum Elec. (1)

T. Takano and J. Hamasaki, “Propagating modes of a metal-clad-dielectric slab waveguide for integrated optics,” IEEE J. Quantum Elec. 8, 206–212 (1972).
[Crossref]

IEEE J. Quantum. Electron. (1)

K. Nosu and J. Hamasaki, “The influence of the longitudinal plasma wave on the propagation characteristics of a metal-clad-dielectric-slab waveguide,” IEEE J. Quantum. Electron. 12, 745–748 (1976).
[Crossref]

IEEE Trans. Antennas Propag. (1)

V. L. Granatstein, S. P. Schlesinger, and A. Vigants, “The open plasmaguide in extremes of magnetic field,” IEEE Trans. Antennas Propag. 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. (3)

A. J. Lichtenberg and J. R. Woodyard, “Plasma waveguides as low loss structures,” J. Appl. Phys. 33, 1976–1979 (1962).
[Crossref]

C. Davis and T. Tamir, “Surface and interface waves in plasma gaps,” J. Appl. Phys. 37, 461–462 (1966).
[Crossref]

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

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

Nature (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

Opt. Commun. (1)

P. Tournois and V. Laude, “Negative group velocities in metal-film optical waveguides,” Opt. Commun. 137, 41–45 (1997).
[Crossref]

Opt. Express (1)

Opt. Express, (1)

K. Y. Kim, J. -H. Lee, Y. K. Cho, and H. -S. Tae, “Electromagnetic wave propagation through doubly dispersive subwavelength metamaterial hole,” Opt. Express, 13, 3653–3665 (2005),
[Crossref]

Philips Res. Rep. (1)

C. J. Bouwkamp, “On Bethe’s theory of diffraction by small holes,” Philips Res. Rep. 5, 321–332 (1950)

Phys. Rev. (2)

E. N. Economou, “Surface plasmons in thin films,” Phys. Rev. 182, 539–554 (1969).
[Crossref]

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66, 163–182 (1944).
[Crossref]

Phys. Rev. B (9)

B. Prade, J. Y. Vinet, and A. Mysyrowicz, “Guided optical waves in planar heterostructures with negative dielectric constant,” Phys. Rev. B 44, 13556–13572 (1991).
[Crossref]

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Metallic photonic band-gap materials,” Phys. Rev. B 52, 11744–11751 (1995).
[Crossref]

L. -M. Li, Z. -Q. Zhang, and X. Zhang, “Transmission and absorption properties of two-dimensional metallic photonic-band-gap materials,” Phys. Rev. B 58, 15589–15594 (1998).
[Crossref]

X. Zhang, “Image resolution depending on slab thickness and object distance in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. B 70, 195110 (2004).
[Crossref]

X. Zhang, “Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals,” Phys. Rev. B 70, 205102 (2004).
[Crossref]

X. Zhang, “Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens,” Phys. Rev. B 71, 165116 (2005).
[Crossref]

X. Zhang, “Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave,” Phys. Rev. B 71, 235103 (2005).
[Crossref]

D. -K. Qing and G. Chen, “Nanoscale optical waveguides with negative dielectric cladding,” Phys. Rev. B 71, 153107 (2005).
[Crossref]

H. Shin, P. B. Catrysse, and S. Fan, “Effect of the plasmonic dispersion relation on the transmission properties of subwavelength cylindrical holes,” Phys. Rev. B 72, 085436 (2005).
[Crossref]

Phys. Rev. E (6)

X. Zhang, “Subwavelength far-field resolution in a square two-dimensional photonic crystal,” Phys. Rev. E 71, 037601 (2005).
[Crossref]

G. D’Aguanno, N. Mattiucci, M. Scalora, and M. J. Bloemer, “TE and TM guided modes in an air waveguide with negative-index-material cladding,” Phys. Rev. E 71, 046603 (2005).
[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]

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,#x201d; Phys. Rev. E 69, 016617 (2004).
[Crossref]

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

L. Novotny and C. Hafner, “Light propagation in a cylindrical waveguide with a complex, metallic, dielectric function,” Phys. Rev. E 50, 4094–4106 (1994).
[Crossref]

Phys. Rev. Lett. (2)

J. A. Porto, F. J. García-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett. 95, 103901 (2005).
[Crossref] [PubMed]

Proc. IEEE (1)

T. Tamir and A. A. Oliner, “The spectrum of electromagnetic waves guided by a plasma layer,” Proc. IEEE 51, 317–332 (1963).
[Crossref]

Rep. Prog. Phys. (1)

C. J. Bouwkamp, “Diffraction theory,” Rep. Prog. Phys. 17, 35–100 (1954).
[Crossref]

Other (8)

Focus Issue: Extraordinary Light Transmission Through Sub-Wavelength Structured Surfaces, Opt. Express12, 3618–3706 (2004).
[PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391, 667–669 (1998).
[Crossref]

S. A. Maier, “Gain-assisted propagation of electromagnetic energy in subwavelength surface plasmon polariton gap waveguides,” Opt. Comm. (to be published).

Yu. M. Aliev, H. Schlüter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer-Verlag, Heidelberg, 2000), Chap. 3.

D. H. Staelin, A. W. Morgenthaler, and J. A. Kong , Electromagnetic Waves (Prentice-Hall Inc., New York, 1994), Chap. 7.

W. P. Allis, S. J. Buchsbaum, and A. Bers, Waves in Anisotropic Plasmas (The MIT Press, Cambridge, 1963), Chap. 10.

H. -G. Unger , Planar Optical Waveguides and Fibers (Clarendon Press, Oxford, 1977).

D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic Press, San Diego, 1991).

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Figures (4)

Fig. 1.
Fig. 1.

(a) Schematic illustration of dispersive plasmonic gap (DPG) geometry and (b) dielectric constant of cladding.

Fig. 2.
Fig. 2.

Dispersion characteristics of DPG waveguides. (a) h = 50nm, (b) h = 25nm, (c) h = 15nm, (d) h = 10nm, (e) h = 5nm, and (f) h = 1nm.

Fig. 3.
Fig. 3.

Dispersion curves for DPG waveguides, plus PEC versions. (a) h = 50nmand (b) h = 25nm . The curves are the same as those shown in Fig. 2, with the addition of dispersion curves for PEC PPWs, represented by dotted and dashed lines. The dispersion curves for the TMm/TEm modes of the PEC PPWs are identical. The arrows depict the decreases in the cutoff frequencies. In (b), 6000 THz is the cutoff frequency for the TM2/TE2 mode.

Fig. 4.
Fig. 4.

Dispersion curves for SPP modes of DPGs. (a) TM0 mode and (b) TM1 mode. The vertical dotted lines represent the position of the critical frequency, i.e., 2545.58 THz. The bifurcation points in the inset are the frequency points where the forward and backward waves meet.

Tables (1)

Tables Icon

Table 1. Characteristic equations for DPGs.

Equations (1)

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

β ¯ = β k 0 = { 1 ( m π 2 k 0 h ) 2 } 1 / 2

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