Abstract

We have derived and solved numerically the dispersion relations for waves guided by a thin metal film bounded on one or both sides by media with intensity-dependent refractive indices. Depending on the conditions, the usual two modes can be cut off and can undergo radical changes in their field distributions, and new modes can exist above certain power threshholds.

© 1984 Optical Society of America

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References

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  1. M. Fukui, V. C.-Y. So, R. Normandin, Phys. Stat. Solidi B 91, K61 (1979).
    [CrossRef]
  2. D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
    [CrossRef]
  3. G. I. Stegeman, J. J. Burke, D. G. Hall, Appl. Phys. Lett. 41, 906 (1982).
    [CrossRef]
  4. R. T. Deck, D. Sarid, J. Opt. Soc. Am. 72, 1613 (1982).
    [CrossRef]
  5. D. Sarid, R. T. Deck, J. J. Fasano, J. Opt. Soc. Am. 72, 1345 (1982).
    [CrossRef]
  6. G. I. Stegeman, C. Liao, C. Karaguleff, Opt. Commun. 46, 253 (1983).
    [CrossRef]
  7. G. I. Stegeman, C. Karaguleff, J. Appl. Phys. 54, 4853 (1983).
    [CrossRef]
  8. J. C. Quail, J. G. Rako, H. J. Simon, R. T. Deck, Phys. Rev. Lett. 50, 1987 (1983).
    [CrossRef]
  9. A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).
  10. W. J. Tomlinson, Optics Lett. 5, 323 (1980).
    [CrossRef]
  11. V. M. Agranovich, V. S. Babichenco, V. Ya. Chernyak, Sov. Phys. JETP Lett. 32, 512 (1981).
  12. A. A. Maradudin, Zeit. Phys. B 41, 341 (1981); in Optical and Acoustic Waves in Solids-Modern Topics, M. Borissov, ed. (World Scientific, Singapore, 1983), p. 72.
    [CrossRef]
  13. N. N. Akhmediev, Sov. Phys. JETP 56, 299 (1982).
  14. N. N. Akhmediev, K. O. Bolter, V. M. Eleonskii, Opt. Spektrosk. 53, 906 (1982); Opt. Spektrosk. 53, 1097 (1982).
  15. D. J. Robbins, Opt. Commun. 47, 309 (1983).
    [CrossRef]
  16. A. D. Boardman, P. Egan, J. Phys. (Paris) Colloq. (to be published).
  17. D. A. B. Miller, C. T. Seaton, M. E. Prise, S. D. Smith, Phys. Rev. Lett. 47, 197 (1981).
    [CrossRef]

1983 (4)

G. I. Stegeman, C. Liao, C. Karaguleff, Opt. Commun. 46, 253 (1983).
[CrossRef]

G. I. Stegeman, C. Karaguleff, J. Appl. Phys. 54, 4853 (1983).
[CrossRef]

J. C. Quail, J. G. Rako, H. J. Simon, R. T. Deck, Phys. Rev. Lett. 50, 1987 (1983).
[CrossRef]

D. J. Robbins, Opt. Commun. 47, 309 (1983).
[CrossRef]

1982 (5)

N. N. Akhmediev, Sov. Phys. JETP 56, 299 (1982).

N. N. Akhmediev, K. O. Bolter, V. M. Eleonskii, Opt. Spektrosk. 53, 906 (1982); Opt. Spektrosk. 53, 1097 (1982).

G. I. Stegeman, J. J. Burke, D. G. Hall, Appl. Phys. Lett. 41, 906 (1982).
[CrossRef]

R. T. Deck, D. Sarid, J. Opt. Soc. Am. 72, 1613 (1982).
[CrossRef]

D. Sarid, R. T. Deck, J. J. Fasano, J. Opt. Soc. Am. 72, 1345 (1982).
[CrossRef]

1981 (4)

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

V. M. Agranovich, V. S. Babichenco, V. Ya. Chernyak, Sov. Phys. JETP Lett. 32, 512 (1981).

A. A. Maradudin, Zeit. Phys. B 41, 341 (1981); in Optical and Acoustic Waves in Solids-Modern Topics, M. Borissov, ed. (World Scientific, Singapore, 1983), p. 72.
[CrossRef]

D. A. B. Miller, C. T. Seaton, M. E. Prise, S. D. Smith, Phys. Rev. Lett. 47, 197 (1981).
[CrossRef]

1980 (1)

W. J. Tomlinson, Optics Lett. 5, 323 (1980).
[CrossRef]

1979 (1)

M. Fukui, V. C.-Y. So, R. Normandin, Phys. Stat. Solidi B 91, K61 (1979).
[CrossRef]

1977 (1)

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

Agranovich, V. M.

V. M. Agranovich, V. S. Babichenco, V. Ya. Chernyak, Sov. Phys. JETP Lett. 32, 512 (1981).

Akhmediev, N. N.

N. N. Akhmediev, Sov. Phys. JETP 56, 299 (1982).

N. N. Akhmediev, K. O. Bolter, V. M. Eleonskii, Opt. Spektrosk. 53, 906 (1982); Opt. Spektrosk. 53, 1097 (1982).

Babichenco, V. S.

V. M. Agranovich, V. S. Babichenco, V. Ya. Chernyak, Sov. Phys. JETP Lett. 32, 512 (1981).

Boardman, A. D.

A. D. Boardman, P. Egan, J. Phys. (Paris) Colloq. (to be published).

Bolter, K. O.

N. N. Akhmediev, K. O. Bolter, V. M. Eleonskii, Opt. Spektrosk. 53, 906 (1982); Opt. Spektrosk. 53, 1097 (1982).

Burke, J. J.

G. I. Stegeman, J. J. Burke, D. G. Hall, Appl. Phys. Lett. 41, 906 (1982).
[CrossRef]

Chernyak, V. Ya.

V. M. Agranovich, V. S. Babichenco, V. Ya. Chernyak, Sov. Phys. JETP Lett. 32, 512 (1981).

Deck, R. T.

Egan, P.

A. D. Boardman, P. Egan, J. Phys. (Paris) Colloq. (to be published).

Eleonskii, V. M.

N. N. Akhmediev, K. O. Bolter, V. M. Eleonskii, Opt. Spektrosk. 53, 906 (1982); Opt. Spektrosk. 53, 1097 (1982).

Fasano, J. J.

Fukui, M.

M. Fukui, V. C.-Y. So, R. Normandin, Phys. Stat. Solidi B 91, K61 (1979).
[CrossRef]

Hall, D. G.

G. I. Stegeman, J. J. Burke, D. G. Hall, Appl. Phys. Lett. 41, 906 (1982).
[CrossRef]

Kaplan, A. E.

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

Karaguleff, C.

G. I. Stegeman, C. Liao, C. Karaguleff, Opt. Commun. 46, 253 (1983).
[CrossRef]

G. I. Stegeman, C. Karaguleff, J. Appl. Phys. 54, 4853 (1983).
[CrossRef]

Liao, C.

G. I. Stegeman, C. Liao, C. Karaguleff, Opt. Commun. 46, 253 (1983).
[CrossRef]

Maradudin, A. A.

A. A. Maradudin, Zeit. Phys. B 41, 341 (1981); in Optical and Acoustic Waves in Solids-Modern Topics, M. Borissov, ed. (World Scientific, Singapore, 1983), p. 72.
[CrossRef]

Miller, D. A. B.

D. A. B. Miller, C. T. Seaton, M. E. Prise, S. D. Smith, Phys. Rev. Lett. 47, 197 (1981).
[CrossRef]

Normandin, R.

M. Fukui, V. C.-Y. So, R. Normandin, Phys. Stat. Solidi B 91, K61 (1979).
[CrossRef]

Prise, M. E.

D. A. B. Miller, C. T. Seaton, M. E. Prise, S. D. Smith, Phys. Rev. Lett. 47, 197 (1981).
[CrossRef]

Quail, J. C.

J. C. Quail, J. G. Rako, H. J. Simon, R. T. Deck, Phys. Rev. Lett. 50, 1987 (1983).
[CrossRef]

Rako, J. G.

J. C. Quail, J. G. Rako, H. J. Simon, R. T. Deck, Phys. Rev. Lett. 50, 1987 (1983).
[CrossRef]

Robbins, D. J.

D. J. Robbins, Opt. Commun. 47, 309 (1983).
[CrossRef]

Sarid, D.

Seaton, C. T.

D. A. B. Miller, C. T. Seaton, M. E. Prise, S. D. Smith, Phys. Rev. Lett. 47, 197 (1981).
[CrossRef]

Simon, H. J.

J. C. Quail, J. G. Rako, H. J. Simon, R. T. Deck, Phys. Rev. Lett. 50, 1987 (1983).
[CrossRef]

Smith, S. D.

D. A. B. Miller, C. T. Seaton, M. E. Prise, S. D. Smith, Phys. Rev. Lett. 47, 197 (1981).
[CrossRef]

So, V. C.-Y.

M. Fukui, V. C.-Y. So, R. Normandin, Phys. Stat. Solidi B 91, K61 (1979).
[CrossRef]

Stegeman, G. I.

G. I. Stegeman, C. Karaguleff, J. Appl. Phys. 54, 4853 (1983).
[CrossRef]

G. I. Stegeman, C. Liao, C. Karaguleff, Opt. Commun. 46, 253 (1983).
[CrossRef]

G. I. Stegeman, J. J. Burke, D. G. Hall, Appl. Phys. Lett. 41, 906 (1982).
[CrossRef]

Tomlinson, W. J.

W. J. Tomlinson, Optics Lett. 5, 323 (1980).
[CrossRef]

Appl. Phys. Lett. (1)

G. I. Stegeman, J. J. Burke, D. G. Hall, Appl. Phys. Lett. 41, 906 (1982).
[CrossRef]

J. Appl. Phys. (1)

G. I. Stegeman, C. Karaguleff, J. Appl. Phys. 54, 4853 (1983).
[CrossRef]

J. Opt. Soc. Am. (2)

Opt. Commun. (2)

G. I. Stegeman, C. Liao, C. Karaguleff, Opt. Commun. 46, 253 (1983).
[CrossRef]

D. J. Robbins, Opt. Commun. 47, 309 (1983).
[CrossRef]

Opt. Spektrosk. (1)

N. N. Akhmediev, K. O. Bolter, V. M. Eleonskii, Opt. Spektrosk. 53, 906 (1982); Opt. Spektrosk. 53, 1097 (1982).

Optics Lett. (1)

W. J. Tomlinson, Optics Lett. 5, 323 (1980).
[CrossRef]

Phys. Rev. Lett. (3)

D. A. B. Miller, C. T. Seaton, M. E. Prise, S. D. Smith, Phys. Rev. Lett. 47, 197 (1981).
[CrossRef]

J. C. Quail, J. G. Rako, H. J. Simon, R. T. Deck, Phys. Rev. Lett. 50, 1987 (1983).
[CrossRef]

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

Phys. Stat. Solidi B (1)

M. Fukui, V. C.-Y. So, R. Normandin, Phys. Stat. Solidi B 91, K61 (1979).
[CrossRef]

Sov. Phys. JETP (2)

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

N. N. Akhmediev, Sov. Phys. JETP 56, 299 (1982).

Sov. Phys. JETP Lett. (1)

V. M. Agranovich, V. S. Babichenco, V. Ya. Chernyak, Sov. Phys. JETP Lett. 32, 512 (1981).

Zeit. Phys. B (1)

A. A. Maradudin, Zeit. Phys. B 41, 341 (1981); in Optical and Acoustic Waves in Solids-Modern Topics, M. Borissov, ed. (World Scientific, Singapore, 1983), p. 72.
[CrossRef]

Other (1)

A. D. Boardman, P. Egan, J. Phys. (Paris) Colloq. (to be published).

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Figures (3)

Fig. 1
Fig. 1

Guided-wave power versus mode index for α′ < 0. The insert is for the short-range mode guided by a 50-nm metal film (a) when one of the InSb bounding media is nonlinear and (b) when both InSb media are nonlinear. In the lower curves the guided-wave power is plotted versus mode index for the long-range mode for one nonlinear InSb bounding medium [(a) h = 50 nm, (c) h = 20 nm] and for both InSb bounding media nonlinear [(b) h = 50 nm, (d) h = 20 nm].

Fig. 2
Fig. 2

Guided-wave power versus mode index for (a) the symmetric (long-range) mode and (b) the antisymmetric (short-range) mode for a thin metal film with nonlinear InSb on one side and linear InSb on the other (α′ > 0). The lower mode-index scale corresponds to case (b), and the upper to (a).

Fig. 3
Fig. 3

Guided-wave power versus mode index for symmetric modes [curves (a) and (b)], which exhibit no zeros in the magnetic field inside the film [(b) is the long-range mode]. Curves (c) and (d) are for the antisymmetric mode, which is characterized by one magnetic-field zero in the film. Here α′ > 0, h = 50 nm, and both InSb media bounding the metal film are nonlinear.

Equations (5)

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H = j ( 2 α ) 1 / 2 q { cosh [ q k 0 ( z 1 z ) ] } 1 exp [ i ( ω t β x ) ] ,
H = j ( 2 α ) 1 / 2 q { cosh [ q k 0 ( z 3 h + z ) ] } 1 × exp [ i ( ω t β x ) ] ,
H = j ( 2 α ) 1 / 2 q [ cosh ( q k 0 z 1 ) ] 1 × [ cosh ( κ k 0 z ) + q ¯ κ tanh ( q k 0 z 1 ) sinh ( κ k 0 z ) ] × exp [ i ( ω t β x ) ] ,
tanh ( κ k 0 h ) = κ q [ tanh ( q k 0 z 1 ) + tanh ( q k 0 z 3 ) ] κ 2 q 2 tanh ( q k 0 z 1 ) tanh ( q k 0 z 3 ) ,
tanh ( κ k 0 h ) = κ q [ cotnh ( q k 0 z 1 ) + cotnh ( q k 0 z 3 ) ] κ 2 q 2 cotnh ( q k 0 z 1 ) cotnh ( q k 0 z 3 )

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