Abstract

Surface-plasmon polaritons guided by thin, lossy metallic films bounded by dissimilar dielectric media are investigated. New solutions to the dispersion relation are found, representing waves that are leaky (radiative) in one of the dielectrics. The new waves are interpreted in terms of the coupling of a damped surface plasmon at one interface with continuum modes at the other. Their excitation by end-fire coupling techniques is suggested.

© 1983 Optical Society of America

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  1. See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.
  2. See, for example, G. H. Zhizhin, M. A. Moskalova, E. V. Shomina, V. A. Yakovlev, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 3 and references therein.
  3. P. E. Ferguson, D. F. Wallis, C. Hauvet, Surf. Science 82, 255 (1979).
    [CrossRef]
  4. See, for example, J. Lagois, B. Fischer, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 2 and references therein.
  5. See, for example, D. N. Mirlin, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 1 and references therein.
  6. W. H. Weber, S. L. McCarthy, Phys. Rev. B 12, 5643 (1975); E. T. Arakawa, M. W. Williams, R. N. Hamm, R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).
    [CrossRef]
  7. W. H. Weber, S. L. McCarthy, Appl. Phys. Lett. 25, 396 (1974); A. B. Buckman, C. Kuo, J. Opt. Soc. Am. 69, 343 (1979); H. Kitajima, K. Hieda, Y. Suematsu, J. Opt. Soc. Am. 70, 1507 (1980).
    [CrossRef]
  8. E. N. Economou, Phys. Rev. 182, 539 (1959).
    [CrossRef]
  9. T. Tamir, A. A. Oliner, Proc. IEE 110, 310 (1963).T. Tamir, A. A. Oliner, Proc. IEE 110, 325 (1963).
  10. A referee cautions that certain types of leaky waves that appear as solutions of secular equations for asymmetric structures apparently cannot be excited by real sources. This conclusion derives from recent, unpublished, theoretical research, which may affect the present study.

1979 (1)

P. E. Ferguson, D. F. Wallis, C. Hauvet, Surf. Science 82, 255 (1979).
[CrossRef]

1975 (1)

W. H. Weber, S. L. McCarthy, Phys. Rev. B 12, 5643 (1975); E. T. Arakawa, M. W. Williams, R. N. Hamm, R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).
[CrossRef]

1974 (1)

W. H. Weber, S. L. McCarthy, Appl. Phys. Lett. 25, 396 (1974); A. B. Buckman, C. Kuo, J. Opt. Soc. Am. 69, 343 (1979); H. Kitajima, K. Hieda, Y. Suematsu, J. Opt. Soc. Am. 70, 1507 (1980).
[CrossRef]

1963 (1)

T. Tamir, A. A. Oliner, Proc. IEE 110, 310 (1963).T. Tamir, A. A. Oliner, Proc. IEE 110, 325 (1963).

1959 (1)

E. N. Economou, Phys. Rev. 182, 539 (1959).
[CrossRef]

Burstein, E.

See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.

Economou, E. N.

E. N. Economou, Phys. Rev. 182, 539 (1959).
[CrossRef]

Ferguson, P. E.

P. E. Ferguson, D. F. Wallis, C. Hauvet, Surf. Science 82, 255 (1979).
[CrossRef]

Fischer, B.

See, for example, J. Lagois, B. Fischer, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 2 and references therein.

Hartstein, A.

See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.

Hauvet, C.

P. E. Ferguson, D. F. Wallis, C. Hauvet, Surf. Science 82, 255 (1979).
[CrossRef]

Lagois, J.

See, for example, J. Lagois, B. Fischer, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 2 and references therein.

Maradudin, A. A.

See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.

McCarthy, S. L.

W. H. Weber, S. L. McCarthy, Phys. Rev. B 12, 5643 (1975); E. T. Arakawa, M. W. Williams, R. N. Hamm, R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).
[CrossRef]

W. H. Weber, S. L. McCarthy, Appl. Phys. Lett. 25, 396 (1974); A. B. Buckman, C. Kuo, J. Opt. Soc. Am. 69, 343 (1979); H. Kitajima, K. Hieda, Y. Suematsu, J. Opt. Soc. Am. 70, 1507 (1980).
[CrossRef]

Mills, D. L.

See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.

Mirlin, D. N.

See, for example, D. N. Mirlin, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 1 and references therein.

Moskalova, M. A.

See, for example, G. H. Zhizhin, M. A. Moskalova, E. V. Shomina, V. A. Yakovlev, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 3 and references therein.

Oliner, A. A.

T. Tamir, A. A. Oliner, Proc. IEE 110, 310 (1963).T. Tamir, A. A. Oliner, Proc. IEE 110, 325 (1963).

Schoenwald, J.

See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.

Shomina, E. V.

See, for example, G. H. Zhizhin, M. A. Moskalova, E. V. Shomina, V. A. Yakovlev, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 3 and references therein.

Tamir, T.

T. Tamir, A. A. Oliner, Proc. IEE 110, 310 (1963).T. Tamir, A. A. Oliner, Proc. IEE 110, 325 (1963).

Wallis, D. F.

P. E. Ferguson, D. F. Wallis, C. Hauvet, Surf. Science 82, 255 (1979).
[CrossRef]

Wallis, R. F.

See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.

Weber, W. H.

W. H. Weber, S. L. McCarthy, Phys. Rev. B 12, 5643 (1975); E. T. Arakawa, M. W. Williams, R. N. Hamm, R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).
[CrossRef]

W. H. Weber, S. L. McCarthy, Appl. Phys. Lett. 25, 396 (1974); A. B. Buckman, C. Kuo, J. Opt. Soc. Am. 69, 343 (1979); H. Kitajima, K. Hieda, Y. Suematsu, J. Opt. Soc. Am. 70, 1507 (1980).
[CrossRef]

Yakovlev, V. A.

See, for example, G. H. Zhizhin, M. A. Moskalova, E. V. Shomina, V. A. Yakovlev, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 3 and references therein.

Zhizhin, G. H.

See, for example, G. H. Zhizhin, M. A. Moskalova, E. V. Shomina, V. A. Yakovlev, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 3 and references therein.

Appl. Phys. Lett. (1)

W. H. Weber, S. L. McCarthy, Appl. Phys. Lett. 25, 396 (1974); A. B. Buckman, C. Kuo, J. Opt. Soc. Am. 69, 343 (1979); H. Kitajima, K. Hieda, Y. Suematsu, J. Opt. Soc. Am. 70, 1507 (1980).
[CrossRef]

Phys. Rev. (1)

E. N. Economou, Phys. Rev. 182, 539 (1959).
[CrossRef]

Phys. Rev. B (1)

W. H. Weber, S. L. McCarthy, Phys. Rev. B 12, 5643 (1975); E. T. Arakawa, M. W. Williams, R. N. Hamm, R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).
[CrossRef]

Proc. IEE (1)

T. Tamir, A. A. Oliner, Proc. IEE 110, 310 (1963).T. Tamir, A. A. Oliner, Proc. IEE 110, 325 (1963).

Surf. Science (1)

P. E. Ferguson, D. F. Wallis, C. Hauvet, Surf. Science 82, 255 (1979).
[CrossRef]

Other (5)

See, for example, J. Lagois, B. Fischer, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 2 and references therein.

See, for example, D. N. Mirlin, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 1 and references therein.

See, for example, E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, Proceedings of the First Toarmina Research Conference on the Structure of Matter, E. Burstein, F. DeMartini, eds. (Pergamon, Oxford, 1972), p. 89 and references therein.

See, for example, G. H. Zhizhin, M. A. Moskalova, E. V. Shomina, V. A. Yakovlev, in Surface Polaritons, V. M. Agranovich, D. L. Mills, eds. (North-Holland, Amsterdam, 1982), Chap. 3 and references therein.

A referee cautions that certain types of leaky waves that appear as solutions of secular equations for asymmetric structures apparently cannot be excited by real sources. This conclusion derives from recent, unpublished, theoretical research, which may affect the present study.

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Figures (3)

Fig. 1
Fig. 1

Field distributions associated with bound, leaky, and growing modes guided by thin metal films. The arrows indicate energy flow in the dielectrics.

Fig. 2
Fig. 2

The dispersion curves for a metal film of thickness h with 1 = 4.0 and 3 = 2.25, λ = 0.633 μm, and m = −19 − 0.53i; s and a refer to symmetric and antisymmetric modes, respectively. The solid lines are for I = 0 as well as I ≠ 0, and the dashed lines show the new features that appear when I ≠ 0. The subscripts b and l refer to bound and leaky modes, respectively.

Fig. 3
Fig. 3

The dispersion curves for a metal film of thickness h with 1 = 4.0 and 3 = 3.61, λ = 0.633 μm, and = −19 − 0.53i; s and a refer to symmetric and antisymmetric modes, respectively. The dashed lines show the new features that appear when I ≠ 0. The dotted line corresponds to the upper (I = 0) antisymmetric mode on a different scale. The subscripts b and 1 refer to bound and leaky modes, respectively.

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