Abstract

Three figures of merit are proposed as quality measures for surface plasmon waveguides. They are defined as benefit-to-cost ratios where the benefit is confinement and the cost is attenuation. Three different ways of measuring confinement are considered, leading to three figures of merit. One of the figures of merit is connected to the quality factor. The figures of merit were then used to assess and compare the wavelength response of three popular 1-D surface plasmon waveguides: the single metal-dielectric interface, the metal slab bounded by dielectric and the dielectric slab bounded by metal. Closed form expressions are given for the figures of merit of the single metal-dielectric interface.

© 2006 Optical Society of America

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    [CrossRef]

2006

W. L. Barnes, "Surface plasmon-polariton length scales: a route to sub-wavelength optics," J. Opt. A: Pure Appl. Opt. 8, S87-S93 (2006).
[CrossRef]

J. A. Dionne, L. A. Sweatlock, H. A. Atwater and A. Polman, "Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization," Phys. Rev. B 73, 035407 (2006).
[CrossRef]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

R. Zia, M. D. Selker, P. B. Catrysse and M. L. Brongersma, "Geometries and materials for subwavelength surface plasmon modes," J. Opt. Soc. Am. A 21, 2442-2446 (2006).
[CrossRef]

L. Thylén and E. Berglind, "Nanophotonics and negative ε materials," J. Zheijiang University: Science A 7, 41-44 (2006).
[CrossRef]

S. A. Maier, "Effective mode volume of nanoscale plasmon cavities," Opt. Quantum Electron. 38, 257-267 (2006).
[CrossRef]

S. A. Maier, "Plasmonic field enhancement and SERS in the effective mode volume picture," Opt. Express 14, 1957-1964 (2006).
[CrossRef] [PubMed]

2005

D. Englund, I. Fushman and J Vučković, "General recipe for designing photonic crystal cavities," Opt. Express 13, 5961-5975 (2005).
[CrossRef] [PubMed]

S. Jetté-Charbonneau, R. Charbonneau, N. Lahoud, G. Mattiussi and P. Berini, "Demonstration of Bragg gratings based on long-ranging surface plasmon polariton waveguides," Opt. Express 13, 4674-4682 (2005).
[CrossRef] [PubMed]

L. J. Sherry, S.-H. Chang, G. C. Schatz and R. P. Van Duyne, "Localized surface plasmon resonance Spectroscopy of single silver nanocubes," Nanoletters 5, 2034-2038 (2005).
[CrossRef]

S. A. Maier and H. A. Atwater, "Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures," J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

2003

W. L. Barnes, A. Dereux and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

R. Nikolajsen, K. Leosson, I. Salakhutdinov and S. I. Bozhevolnyi, "Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths," Appl. Phys. Lett. 82, 668-670 (2003)
[CrossRef]

2002

I. V. Novikov and A. A. Maradudin, "Channel polaritons," Phys. Rev. B 66, 035403 (2002).
[CrossRef]

2001

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

2000

P. Berini, "Plasmon polariton waves guided by thin lossy metal films of finite width: bound modes of symmetric structures," Phys. Rev. B 61, 10484-10503 (2000).
[CrossRef]

R. Charbonneau, P. Berini, E. Berolo and E. Lisicka-Shrzek, "Experimental observation of plasmon-polariton waves supported by a thin metal film of finite width," Opt. Lett. 25, 844-846 (2000).
[CrossRef]

1999

J.-C. Weeber, A. Dereux, C. Girard, J. R. Krenn and J.-P. Goudonnet, "Plasmon polaritons of metallic nanowires for controlling submicron propagation of light," Phys. Rev. B 60, 9061-9068 (1999).
[CrossRef]

1998

1996

D. J. Nash and J. R. Sambles, "Surface plasmon-polariton study of the optical dielectric function of silver," J. Mod. Opt. 43, 81-91 (1996).

1986

J. J. Burke, G. I. Stegeman and T. Tamir, "Surface-polariton-like waves guided by thin, lossy metal films," Phys. Rev. B 33, 5186-5201 (1986).
[CrossRef]

1983

G. Leveque, C. G. Olson and D. W. Lynch, "Reflectance spectra and dielectric functions for Ag in the region of interband transitions," Phys. Rev. B 27, 4654-4660 (1983).
[CrossRef]

1979

M. Fukui, V. C. Y. So, and R. Normandin, "Lifetimes of Surface Plasmons in thin Silver Films," Phys. Stat. Sol.(b) 91,K61-K64 (1979).
[CrossRef]

1976

P. Winsemius, F. F. van Kampen, H. P. Lengkeek and C. G. van Went, "Temperature dependence of the optical properties of Au, Ag and Cu," J. Phys. F: Met. Phys. 6, 1583-1606 (1976).
[CrossRef]

1973

E. T. Arakawa, M. W. Williams, R. N. Hamm and R. H. Ritchie, "Effect of damping on Surface Plasmon Dispersion," Phys. Rev. Lett. 31, 1127-1129 (1973).
[CrossRef]

1969

E. N. Economou, "Surface Plasmons in thin Films," Phys. Rev. 182, 539-554 (1969).
[CrossRef]

1967

Arakawa, E. T.

E. T. Arakawa, M. W. Williams, R. N. Hamm and R. H. Ritchie, "Effect of damping on Surface Plasmon Dispersion," Phys. Rev. Lett. 31, 1127-1129 (1973).
[CrossRef]

Atwater, H. A.

J. A. Dionne, L. A. Sweatlock, H. A. Atwater and A. Polman, "Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization," Phys. Rev. B 73, 035407 (2006).
[CrossRef]

S. A. Maier and H. A. Atwater, "Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures," J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

Aussenegg, F. R.

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

Barnes, W. L.

W. L. Barnes, "Surface plasmon-polariton length scales: a route to sub-wavelength optics," J. Opt. A: Pure Appl. Opt. 8, S87-S93 (2006).
[CrossRef]

W. L. Barnes, A. Dereux and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

Berglind, E.

L. Thylén and E. Berglind, "Nanophotonics and negative ε materials," J. Zheijiang University: Science A 7, 41-44 (2006).
[CrossRef]

Berini, P.

Berolo, E.

Bozhevolnyi, S. I.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

R. Nikolajsen, K. Leosson, I. Salakhutdinov and S. I. Bozhevolnyi, "Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths," Appl. Phys. Lett. 82, 668-670 (2003)
[CrossRef]

Brixner, B.

Brongersma, M. L.

Burke, J. J.

J. J. Burke, G. I. Stegeman and T. Tamir, "Surface-polariton-like waves guided by thin, lossy metal films," Phys. Rev. B 33, 5186-5201 (1986).
[CrossRef]

Capasso, F.

Catrysse, P. B.

Chang, S.-H.

L. J. Sherry, S.-H. Chang, G. C. Schatz and R. P. Van Duyne, "Localized surface plasmon resonance Spectroscopy of single silver nanocubes," Nanoletters 5, 2034-2038 (2005).
[CrossRef]

Charbonneau, R.

Cho, A. Y.

Dereux, A.

W. L. Barnes, A. Dereux and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

J.-C. Weeber, A. Dereux, C. Girard, J. R. Krenn and J.-P. Goudonnet, "Plasmon polaritons of metallic nanowires for controlling submicron propagation of light," Phys. Rev. B 60, 9061-9068 (1999).
[CrossRef]

Devaux, E.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

Dionne, J. A.

J. A. Dionne, L. A. Sweatlock, H. A. Atwater and A. Polman, "Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization," Phys. Rev. B 73, 035407 (2006).
[CrossRef]

Ditlbacher, H.

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

Ebbesen, T. W.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

W. L. Barnes, A. Dereux and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

Economou, E. N.

E. N. Economou, "Surface Plasmons in thin Films," Phys. Rev. 182, 539-554 (1969).
[CrossRef]

Englund, D.

Faist, J.

Felidj, N.

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

Fukui, M.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

M. Fukui, V. C. Y. So, and R. Normandin, "Lifetimes of Surface Plasmons in thin Silver Films," Phys. Stat. Sol.(b) 91,K61-K64 (1979).
[CrossRef]

Fushman, I.

Girard, C.

J.-C. Weeber, A. Dereux, C. Girard, J. R. Krenn and J.-P. Goudonnet, "Plasmon polaritons of metallic nanowires for controlling submicron propagation of light," Phys. Rev. B 60, 9061-9068 (1999).
[CrossRef]

Gmachl, C.

Goudonnet, J. P.

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

Goudonnet, J.-P.

J.-C. Weeber, A. Dereux, C. Girard, J. R. Krenn and J.-P. Goudonnet, "Plasmon polaritons of metallic nanowires for controlling submicron propagation of light," Phys. Rev. B 60, 9061-9068 (1999).
[CrossRef]

Gramotnev, D. K.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Hamm, R. N.

E. T. Arakawa, M. W. Williams, R. N. Hamm and R. H. Ritchie, "Effect of damping on Surface Plasmon Dispersion," Phys. Rev. Lett. 31, 1127-1129 (1973).
[CrossRef]

Haraguchi, M.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Hutchinson, A. L.

Jetté-Charbonneau, S.

Krenn, J. R.

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

J.-C. Weeber, A. Dereux, C. Girard, J. R. Krenn and J.-P. Goudonnet, "Plasmon polaritons of metallic nanowires for controlling submicron propagation of light," Phys. Rev. B 60, 9061-9068 (1999).
[CrossRef]

Lacroute, Y.

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

Lahoud, N.

Laluet, J.-Y.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

Lamprecht, B.

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

Leitner, A.

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

Lengkeek, H. P.

P. Winsemius, F. F. van Kampen, H. P. Lengkeek and C. G. van Went, "Temperature dependence of the optical properties of Au, Ag and Cu," J. Phys. F: Met. Phys. 6, 1583-1606 (1976).
[CrossRef]

Leosson, K.

R. Nikolajsen, K. Leosson, I. Salakhutdinov and S. I. Bozhevolnyi, "Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths," Appl. Phys. Lett. 82, 668-670 (2003)
[CrossRef]

Leveque, G.

G. Leveque, C. G. Olson and D. W. Lynch, "Reflectance spectra and dielectric functions for Ag in the region of interband transitions," Phys. Rev. B 27, 4654-4660 (1983).
[CrossRef]

Lisicka-Shrzek, E.

Lynch, D. W.

G. Leveque, C. G. Olson and D. W. Lynch, "Reflectance spectra and dielectric functions for Ag in the region of interband transitions," Phys. Rev. B 27, 4654-4660 (1983).
[CrossRef]

Maier, S. A.

S. A. Maier, "Effective mode volume of nanoscale plasmon cavities," Opt. Quantum Electron. 38, 257-267 (2006).
[CrossRef]

S. A. Maier, "Plasmonic field enhancement and SERS in the effective mode volume picture," Opt. Express 14, 1957-1964 (2006).
[CrossRef] [PubMed]

S. A. Maier and H. A. Atwater, "Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures," J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

Maradudin, A. A.

I. V. Novikov and A. A. Maradudin, "Channel polaritons," Phys. Rev. B 66, 035403 (2002).
[CrossRef]

Matsuzaki, Y.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Mattiussi, G.

Nash, D. J.

D. J. Nash and J. R. Sambles, "Surface plasmon-polariton study of the optical dielectric function of silver," J. Mod. Opt. 43, 81-91 (1996).

Nikolajsen, R.

R. Nikolajsen, K. Leosson, I. Salakhutdinov and S. I. Bozhevolnyi, "Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths," Appl. Phys. Lett. 82, 668-670 (2003)
[CrossRef]

Normandin, R.

M. Fukui, V. C. Y. So, and R. Normandin, "Lifetimes of Surface Plasmons in thin Silver Films," Phys. Stat. Sol.(b) 91,K61-K64 (1979).
[CrossRef]

Novikov, I. V.

I. V. Novikov and A. A. Maradudin, "Channel polaritons," Phys. Rev. B 66, 035403 (2002).
[CrossRef]

Ogawa, T.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Okamoto, T.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Olson, C. G.

G. Leveque, C. G. Olson and D. W. Lynch, "Reflectance spectra and dielectric functions for Ag in the region of interband transitions," Phys. Rev. B 27, 4654-4660 (1983).
[CrossRef]

Pile, D. F. P.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Polman, A.

J. A. Dionne, L. A. Sweatlock, H. A. Atwater and A. Polman, "Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization," Phys. Rev. B 73, 035407 (2006).
[CrossRef]

Ritchie, R. H.

E. T. Arakawa, M. W. Williams, R. N. Hamm and R. H. Ritchie, "Effect of damping on Surface Plasmon Dispersion," Phys. Rev. Lett. 31, 1127-1129 (1973).
[CrossRef]

Salakhutdinov, I.

R. Nikolajsen, K. Leosson, I. Salakhutdinov and S. I. Bozhevolnyi, "Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths," Appl. Phys. Lett. 82, 668-670 (2003)
[CrossRef]

Salerno, M.

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

Sambles, J. R.

D. J. Nash and J. R. Sambles, "Surface plasmon-polariton study of the optical dielectric function of silver," J. Mod. Opt. 43, 81-91 (1996).

Schatz, G. C.

L. J. Sherry, S.-H. Chang, G. C. Schatz and R. P. Van Duyne, "Localized surface plasmon resonance Spectroscopy of single silver nanocubes," Nanoletters 5, 2034-2038 (2005).
[CrossRef]

Schider, G.

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

Selker, M. D.

Sherry, L. J.

L. J. Sherry, S.-H. Chang, G. C. Schatz and R. P. Van Duyne, "Localized surface plasmon resonance Spectroscopy of single silver nanocubes," Nanoletters 5, 2034-2038 (2005).
[CrossRef]

Sirtori, C.

Sivco, D. L.

So, V. C. Y.

M. Fukui, V. C. Y. So, and R. Normandin, "Lifetimes of Surface Plasmons in thin Silver Films," Phys. Stat. Sol.(b) 91,K61-K64 (1979).
[CrossRef]

Stegeman, G. I.

J. J. Burke, G. I. Stegeman and T. Tamir, "Surface-polariton-like waves guided by thin, lossy metal films," Phys. Rev. B 33, 5186-5201 (1986).
[CrossRef]

Sweatlock, L. A.

J. A. Dionne, L. A. Sweatlock, H. A. Atwater and A. Polman, "Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization," Phys. Rev. B 73, 035407 (2006).
[CrossRef]

Tamir, T.

J. J. Burke, G. I. Stegeman and T. Tamir, "Surface-polariton-like waves guided by thin, lossy metal films," Phys. Rev. B 33, 5186-5201 (1986).
[CrossRef]

Thylén, L.

L. Thylén and E. Berglind, "Nanophotonics and negative ε materials," J. Zheijiang University: Science A 7, 41-44 (2006).
[CrossRef]

Van Duyne, R. P.

L. J. Sherry, S.-H. Chang, G. C. Schatz and R. P. Van Duyne, "Localized surface plasmon resonance Spectroscopy of single silver nanocubes," Nanoletters 5, 2034-2038 (2005).
[CrossRef]

van Kampen, F. F.

P. Winsemius, F. F. van Kampen, H. P. Lengkeek and C. G. van Went, "Temperature dependence of the optical properties of Au, Ag and Cu," J. Phys. F: Met. Phys. 6, 1583-1606 (1976).
[CrossRef]

van Went, C. G.

P. Winsemius, F. F. van Kampen, H. P. Lengkeek and C. G. van Went, "Temperature dependence of the optical properties of Au, Ag and Cu," J. Phys. F: Met. Phys. 6, 1583-1606 (1976).
[CrossRef]

Vernon, K. C.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Volkov, V. S.

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

Vuckovic, J

Weeber, J.-C.

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

J.-C. Weeber, A. Dereux, C. Girard, J. R. Krenn and J.-P. Goudonnet, "Plasmon polaritons of metallic nanowires for controlling submicron propagation of light," Phys. Rev. B 60, 9061-9068 (1999).
[CrossRef]

Williams, M. W.

E. T. Arakawa, M. W. Williams, R. N. Hamm and R. H. Ritchie, "Effect of damping on Surface Plasmon Dispersion," Phys. Rev. Lett. 31, 1127-1129 (1973).
[CrossRef]

Winsemius, P.

P. Winsemius, F. F. van Kampen, H. P. Lengkeek and C. G. van Went, "Temperature dependence of the optical properties of Au, Ag and Cu," J. Phys. F: Met. Phys. 6, 1583-1606 (1976).
[CrossRef]

Yamaguchi, K.

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

Zia, R.

Appl. Phys. Lett.

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner and F. R. Aussenegg, "Surface plasmon propagation in microscale metal stripes," Appl. Phys. Lett.,  7951-53 (2001).
[CrossRef]

R. Nikolajsen, K. Leosson, I. Salakhutdinov and S. I. Bozhevolnyi, "Polymer-based surface-plasmon-polariton stripe waveguides at telecommunication wavelengths," Appl. Phys. Lett. 82, 668-670 (2003)
[CrossRef]

D. F. P. Pile, T. Ogawa, D. K. Gramotnev, Y. Matsuzaki, K. C. Vernon, K. Yamaguchi, T. Okamoto, M. Haraguchi and M. Fukui, "Two-dimensionally localized modes of a nanoscale gap plasmon waveguide," Appl. Phys. Lett.,  87261114 (2005).
[CrossRef]

J. Appl. Phys.

S. A. Maier and H. A. Atwater, "Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures," J. Appl. Phys. 98, 011101 (2005).
[CrossRef]

J. Mod. Opt.

D. J. Nash and J. R. Sambles, "Surface plasmon-polariton study of the optical dielectric function of silver," J. Mod. Opt. 43, 81-91 (1996).

J. Opt. A: Pure Appl. Opt.

W. L. Barnes, "Surface plasmon-polariton length scales: a route to sub-wavelength optics," J. Opt. A: Pure Appl. Opt. 8, S87-S93 (2006).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

J. Phys. F: Met. Phys.

P. Winsemius, F. F. van Kampen, H. P. Lengkeek and C. G. van Went, "Temperature dependence of the optical properties of Au, Ag and Cu," J. Phys. F: Met. Phys. 6, 1583-1606 (1976).
[CrossRef]

J. Zheijiang University: Science A

L. Thylén and E. Berglind, "Nanophotonics and negative ε materials," J. Zheijiang University: Science A 7, 41-44 (2006).
[CrossRef]

Nanoletters

L. J. Sherry, S.-H. Chang, G. C. Schatz and R. P. Van Duyne, "Localized surface plasmon resonance Spectroscopy of single silver nanocubes," Nanoletters 5, 2034-2038 (2005).
[CrossRef]

Nature

W. L. Barnes, A. Dereux and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef]

S. I. Bozhevolnyi, V. S. Volkov, E. Devaux, J.-Y. Laluet, and T. W. Ebbesen, "Channel plasmon subwavelength waveguide components including interferometers and ring resonators," Nature 440, 508-511 (2006).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Quantum Electron.

S. A. Maier, "Effective mode volume of nanoscale plasmon cavities," Opt. Quantum Electron. 38, 257-267 (2006).
[CrossRef]

Phys. Rev.

E. N. Economou, "Surface Plasmons in thin Films," Phys. Rev. 182, 539-554 (1969).
[CrossRef]

Phys. Rev. B

J. J. Burke, G. I. Stegeman and T. Tamir, "Surface-polariton-like waves guided by thin, lossy metal films," Phys. Rev. B 33, 5186-5201 (1986).
[CrossRef]

J. A. Dionne, L. A. Sweatlock, H. A. Atwater and A. Polman, "Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization," Phys. Rev. B 73, 035407 (2006).
[CrossRef]

J.-C. Weeber, A. Dereux, C. Girard, J. R. Krenn and J.-P. Goudonnet, "Plasmon polaritons of metallic nanowires for controlling submicron propagation of light," Phys. Rev. B 60, 9061-9068 (1999).
[CrossRef]

P. Berini, "Plasmon polariton waves guided by thin lossy metal films of finite width: bound modes of symmetric structures," Phys. Rev. B 61, 10484-10503 (2000).
[CrossRef]

J.-C. Weeber, J. R. Krenn, A. Dereux, B. Lamprecht, Y. Lacroute, and J. P. Goudonnet, "Near-field observation of surface plasmon polariton propagation on thin metal stripes," Phys. Rev. B 64, 045411 (2001).
[CrossRef]

I. V. Novikov and A. A. Maradudin, "Channel polaritons," Phys. Rev. B 66, 035403 (2002).
[CrossRef]

G. Leveque, C. G. Olson and D. W. Lynch, "Reflectance spectra and dielectric functions for Ag in the region of interband transitions," Phys. Rev. B 27, 4654-4660 (1983).
[CrossRef]

Phys. Rev. Lett.

E. T. Arakawa, M. W. Williams, R. N. Hamm and R. H. Ritchie, "Effect of damping on Surface Plasmon Dispersion," Phys. Rev. Lett. 31, 1127-1129 (1973).
[CrossRef]

Phys. Stat. Sol.

M. Fukui, V. C. Y. So, and R. Normandin, "Lifetimes of Surface Plasmons in thin Silver Films," Phys. Stat. Sol.(b) 91,K61-K64 (1979).
[CrossRef]

Other

E. D. Palik, ed., Handbook of Optical Constants of Solids, (Academic Press, Orlando, Florida, 1985).

R.E. Collin, Field theory of Guided Waves (IEEE Press, Piscataway, New Jersey, 1991).

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

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Figures (3)

Fig. 1.
Fig. 1.

1-D SPP waveguides considered: (a) single-interface, (b) symmetric dielectric-cladded metal slab, and (c) symmetric metal-cladded dielectric slab.

Fig. 2.
Fig. 2.

(a) Relative permittivity of Ag (εr,m =-εR -jεI ) and SiO2 (εr,1 =n12 ) over the range 230≤λ0 ≥2000 nm; the inset zooms-in on the range 230≤λ0 ≤500 nm. (b) Dispersion curve of the single-interface SPP. (c) and (d) neff and keff of modes supported by the structures of Fig. 1, respectively.

Fig. 3.
Fig. 3.

(a) δw , (b) M11D , (c) M2 , (d) M3 , (e) vg , and (f) Q of modes supported by the structures of Fig. 1.

Equations (26)

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

M 1 1 D = 1 δ w α z
ε r , m < e ε r , 1
E y , m ( y ) = E y , 1 ( 0 ) e α y , m y = ε r , 1 ε r , m E y , 1 ( 0 + ) e α y , m y for y < 0
δ w = { δ D for ε r , m e ε r , 1 δ D + δ m ln ( e ε r , 1 ε r , m ) for ε r , m < e ε r , 1
δ D = 1 Re { β 1 2 γ z 2 }
δ m = 1 Re { β 0 2 ε r , m γ z 2 }
β z β 0 = Re { ε r , 1 ε r , m ε r , 1 + ε r , m } and α z β 0 = Im { ε r , 1 ε r , m ε r , 1 + ε r , m }
M 1 1 D β z 2 β 1 2 α z = n eff 2 n 1 2 k eff
δ w = t + 2 δ D
M 1 1 D 1 α z [ t + 2 β z 2 β 1 2 ] 1 = 1 k eff [ β 0 t + 2 n eff 2 n 1 2 ] 1
M 1 1 D 1 2 β z 2 β 1 2 α z = 1 2 n eff 2 n 1 2 k eff
δ w = { t for ε r , m e ε r , 1 t + 2 δ m ln ( e ε r , 1 ε r , m ) for ε r , m < e ε r , 1
M 1 1 D 1 α z t = 1 k eff β 0 t
M 2 = β z β 1 α z = n eff n 1 k eff
M 3 = 1 λ g α z = 1 2 π β z α z = 1 2 π n eff k eff
Q = ω τ spp
τ spp = 1 v g 2 α z
v g 1 = β z ω = 1 c 0 ( n eff λ 0 n eff λ 0 )
n eff = β z β 0 ( ε r , 1 ε R ε R ε r , 1 ) 1 2 and k eff = α z β 0 = ε I 2 ε R 2 ( ε r , 1 ε R ε R ε r , 1 ) 3 2
M 1 1 D 2 ε r , 1 1 2 ε R 1 2 ε I ( ε R ε r , 1 ) and M 1 1 D 2 ε r , 1 1 2 ε R 3 2 ε I for ε R ε r , 1
ε r , m = ε R j ε I = 1 ω p 2 ω 2 + 1 τ D 2 j ω p 2 τ D ω ( ω 2 + 1 τ D 2 )
M 1 1 D 2 ε r , 1 1 2 ω p τ D
M 2 2 ε R ε I 1 ε r , 1 ( ε R ε r , 1 ( ε R ε r , 1 ) 3 ε R ) and M 2 ε R ε I for ε R ε r , 1
M 2 ω τ D = 2 π c 0 τ D λ 0
M 3 1 π ε r , 1 ε R ε I ( ε R ε r , 1 ) and M 3 1 π ε r , 1 ε R 2 ε I for ε R ε r , 1
M 3 1 π ε r , 1 ω p 2 τ D ω = 1 π ε r , 1 ω p 2 τ D λ 0 ( 2 π c 0 )

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