Abstract

The three-layer system consisting of coupling prism, gap, and sample has been studied in an external magnetic field to calculate the attenuated-total-reflection spectrum due to surface plasmons. The sample is taken to be a nonpolar or polar semiconductor with free carriers, which becomes an anisotropic dielectric medium when the magnetic field is applied. Dispersion curves for the surface-polariton modes are discussed. Computed reflection spectra are shown for two of the three magnetic-field geometries considered. Computed results are compared with experimental results.

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  1. J. Fahrenfort, Spectrochim. Acta 17, 698 (1961).
  2. J. Fahrenfort and W. M. Visser, Spectrochim. Acta 21, 1433 (1965).
  3. N. J. Harrick, Internal Reflection Spectroscopy (Wiley-Interscience, New York, 1967), Ch. 2.
  4. M. V. Klein, Optics (Wiley, New York, 1970), Ch. 11.3.
  5. A. Otto, Z. Phys. 216, 398 (1968).
  6. A. S. Barker, Phys. Rev. Lett. 28, 892 (1972).
  7. J. J. Brion, R. F. Wallis, A. Hartstein, and E. Burstein, Phys. Rev. Lett. 28, 1455 (1972).
  8. K. W. Chiu and J. J. Quinn, Phys. Rev. Lett. 29, 600 (1972).
  9. E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).
  10. A. Hartstein and E. Burstein, Solid State Commun. 14, 1223 (1974).
  11. H. Wolter, Handbuch der Physik, Vol. 24, edited by S. Flügge (Springer, Berlin, 1956), p. 461.
  12. I. L. Tyler, B. Fischer, and R. J. Bell, Opt. Commun. 8, 145 (1973).
  13. F. Abelès, Ann. Phys. (Paris) 5, 596 (1950); Ann. Phys. (Paris) 5, 706 (1950).
  14. R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Phys. Rev. B 9, 3424 (1974).
  15. J. J. Quinn and K. W. Chiu, Taormina Research Conference on the Structure of Matter—Polaritons, 1972.
  16. N. J. M. Horing and M. Yildiz (private communication).
  17. See L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960) for further references.
  18. O. S. Heavens, Optical Properties of Thin Solid Films (Dover, New York, 1965).
  19. See K. W. Chiu and J. J. Quinn, Am. J. Phys. 40, 1847 (1972), and the references therein.
  20. See J. Picht, Abhandlungen der Deutschen Akademie der Wissenschaften zu Berlin, Klasse für Mathematik, Physik und Technik, Jahrgang, 1955.
  21. K. W. Chiu and J. J. Quinn, Nuovo Cimento 10, 1 (1972).
  22. R. E. DeWames and W. F. Hall, Phys. Rev. Lett. 29, 172 (1972).
  23. R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Proceedings of the Eleventh International Conference on the Physics of Semiconductors (PWN-Polish Scientific Publishers, Warsaw, 1972), p. 1448.
  24. A. Otto (private communication).
  25. B. Fischer, N. Marschall, and H. J. Queisser, Surf. Sci. 34, 50 (1973).
  26. A. S. Barker, Surf. Sci. 34, 62 (1973).
  27. M. Hass, in Semiconductors and Semimetals, Vol. 3, edited by R. K. Willardson and A. C. Beer (Academic, New York, 1967), p. 3.
  28. R. W. Gammon and E. D. Palik, J. Opt. Soc. Am. 64, 350 (1974).
  29. E. T. Arakawa, M. W. Williams, R. N. Hamm, and R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).
  30. R. W. Alexander, G. S. Kovener, and R. J. Bell, Phys. Rev. Lett. 32, 154 (1974).
  31. V. V. Bryksin, Y. M. Gerbshtein, and D. N. Mirlin, Fiz. Tverd. Tela 13, 2125 (1971) [Sov. Phys.-Solid State 13, 1779 (1972)].
  32. E. D. Palik, B. W. Henvis, J. R. Stevenson, and S. Iwasa, Solid State Commun. 6, 721 (1968).
  33. V. V. Bryksin, D. N. Mirlin, and I. I. Reshina, Solid State Commun. 11, 695 (1972).
  34. E. D. Palik, S. Teitler, B. W. Henvis, and R. F. Wallis, in Reports of the International Conference on the Physics of Semiconductors, Exeter, 1962 (The Institute of Physics and the Physical Society of London, 1962), p. 288.

Abelès, F.

F. Abelès, Ann. Phys. (Paris) 5, 596 (1950); Ann. Phys. (Paris) 5, 706 (1950).

Alexander, R. W.

R. W. Alexander, G. S. Kovener, and R. J. Bell, Phys. Rev. Lett. 32, 154 (1974).

Arakawa, E. T.

E. T. Arakawa, M. W. Williams, R. N. Hamm, and R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).

Barker, A. S.

A. S. Barker, Surf. Sci. 34, 62 (1973).

A. S. Barker, Phys. Rev. Lett. 28, 892 (1972).

Bell, R. J.

I. L. Tyler, B. Fischer, and R. J. Bell, Opt. Commun. 8, 145 (1973).

R. W. Alexander, G. S. Kovener, and R. J. Bell, Phys. Rev. Lett. 32, 154 (1974).

Brekhovskikh, L. M.

See L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960) for further references.

Brion, J. J.

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Phys. Rev. B 9, 3424 (1974).

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Proceedings of the Eleventh International Conference on the Physics of Semiconductors (PWN-Polish Scientific Publishers, Warsaw, 1972), p. 1448.

J. J. Brion, R. F. Wallis, A. Hartstein, and E. Burstein, Phys. Rev. Lett. 28, 1455 (1972).

Bryksin, V. V.

V. V. Bryksin, D. N. Mirlin, and I. I. Reshina, Solid State Commun. 11, 695 (1972).

V. V. Bryksin, Y. M. Gerbshtein, and D. N. Mirlin, Fiz. Tverd. Tela 13, 2125 (1971) [Sov. Phys.-Solid State 13, 1779 (1972)].

Burstein, E.

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Phys. Rev. B 9, 3424 (1974).

A. Hartstein and E. Burstein, Solid State Commun. 14, 1223 (1974).

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Proceedings of the Eleventh International Conference on the Physics of Semiconductors (PWN-Polish Scientific Publishers, Warsaw, 1972), p. 1448.

J. J. Brion, R. F. Wallis, A. Hartstein, and E. Burstein, Phys. Rev. Lett. 28, 1455 (1972).

Chiu, K. W.

J. J. Quinn and K. W. Chiu, Taormina Research Conference on the Structure of Matter—Polaritons, 1972.

K. W. Chiu and J. J. Quinn, Phys. Rev. Lett. 29, 600 (1972).

K. W. Chiu and J. J. Quinn, Nuovo Cimento 10, 1 (1972).

See K. W. Chiu and J. J. Quinn, Am. J. Phys. 40, 1847 (1972), and the references therein.

DeWames, R. E.

R. E. DeWames and W. F. Hall, Phys. Rev. Lett. 29, 172 (1972).

Fahrenfort, J.

J. Fahrenfort, Spectrochim. Acta 17, 698 (1961).

J. Fahrenfort and W. M. Visser, Spectrochim. Acta 21, 1433 (1965).

Fischer, B.

B. Fischer, N. Marschall, and H. J. Queisser, Surf. Sci. 34, 50 (1973).

I. L. Tyler, B. Fischer, and R. J. Bell, Opt. Commun. 8, 145 (1973).

Gammon, R. W.

E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).

R. W. Gammon and E. D. Palik, J. Opt. Soc. Am. 64, 350 (1974).

Gerbshtein, Y. M.

V. V. Bryksin, Y. M. Gerbshtein, and D. N. Mirlin, Fiz. Tverd. Tela 13, 2125 (1971) [Sov. Phys.-Solid State 13, 1779 (1972)].

Hall, W. F.

R. E. DeWames and W. F. Hall, Phys. Rev. Lett. 29, 172 (1972).

Hamm, R. N.

E. T. Arakawa, M. W. Williams, R. N. Hamm, and R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).

Harrick, N. J.

N. J. Harrick, Internal Reflection Spectroscopy (Wiley-Interscience, New York, 1967), Ch. 2.

Hartstein, A.

J. J. Brion, R. F. Wallis, A. Hartstein, and E. Burstein, Phys. Rev. Lett. 28, 1455 (1972).

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Phys. Rev. B 9, 3424 (1974).

A. Hartstein and E. Burstein, Solid State Commun. 14, 1223 (1974).

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Proceedings of the Eleventh International Conference on the Physics of Semiconductors (PWN-Polish Scientific Publishers, Warsaw, 1972), p. 1448.

Hass, M.

M. Hass, in Semiconductors and Semimetals, Vol. 3, edited by R. K. Willardson and A. C. Beer (Academic, New York, 1967), p. 3.

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Solid Films (Dover, New York, 1965).

Henvis, B. W.

E. D. Palik, S. Teitler, B. W. Henvis, and R. F. Wallis, in Reports of the International Conference on the Physics of Semiconductors, Exeter, 1962 (The Institute of Physics and the Physical Society of London, 1962), p. 288.

E. D. Palik, B. W. Henvis, J. R. Stevenson, and S. Iwasa, Solid State Commun. 6, 721 (1968).

Horing, N. J. M.

N. J. M. Horing and M. Yildiz (private communication).

Iwasa, S.

E. D. Palik, B. W. Henvis, J. R. Stevenson, and S. Iwasa, Solid State Commun. 6, 721 (1968).

Kaplan, H.

E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).

Kaplan, R.

E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).

Klein, M. V.

M. V. Klein, Optics (Wiley, New York, 1970), Ch. 11.3.

Kovener, G. S.

R. W. Alexander, G. S. Kovener, and R. J. Bell, Phys. Rev. Lett. 32, 154 (1974).

Marschall, N.

B. Fischer, N. Marschall, and H. J. Queisser, Surf. Sci. 34, 50 (1973).

Mirlin, D. N.

V. V. Bryksin, Y. M. Gerbshtein, and D. N. Mirlin, Fiz. Tverd. Tela 13, 2125 (1971) [Sov. Phys.-Solid State 13, 1779 (1972)].

V. V. Bryksin, D. N. Mirlin, and I. I. Reshina, Solid State Commun. 11, 695 (1972).

Otto, A.

A. Otto, Z. Phys. 216, 398 (1968).

A. Otto (private communication).

Palik, E. D.

R. W. Gammon and E. D. Palik, J. Opt. Soc. Am. 64, 350 (1974).

E. D. Palik, S. Teitler, B. W. Henvis, and R. F. Wallis, in Reports of the International Conference on the Physics of Semiconductors, Exeter, 1962 (The Institute of Physics and the Physical Society of London, 1962), p. 288.

E. D. Palik, B. W. Henvis, J. R. Stevenson, and S. Iwasa, Solid State Commun. 6, 721 (1968).

E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).

Picht, J.

See J. Picht, Abhandlungen der Deutschen Akademie der Wissenschaften zu Berlin, Klasse für Mathematik, Physik und Technik, Jahrgang, 1955.

Queisser, H. J.

B. Fischer, N. Marschall, and H. J. Queisser, Surf. Sci. 34, 50 (1973).

Quinn, J. J.

See K. W. Chiu and J. J. Quinn, Am. J. Phys. 40, 1847 (1972), and the references therein.

K. W. Chiu and J. J. Quinn, Nuovo Cimento 10, 1 (1972).

E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).

J. J. Quinn and K. W. Chiu, Taormina Research Conference on the Structure of Matter—Polaritons, 1972.

K. W. Chiu and J. J. Quinn, Phys. Rev. Lett. 29, 600 (1972).

Reshina, I. I.

V. V. Bryksin, D. N. Mirlin, and I. I. Reshina, Solid State Commun. 11, 695 (1972).

Ritchie, R. H.

E. T. Arakawa, M. W. Williams, R. N. Hamm, and R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).

Stevenson, J. R.

E. D. Palik, B. W. Henvis, J. R. Stevenson, and S. Iwasa, Solid State Commun. 6, 721 (1968).

Teitler, S.

E. D. Palik, S. Teitler, B. W. Henvis, and R. F. Wallis, in Reports of the International Conference on the Physics of Semiconductors, Exeter, 1962 (The Institute of Physics and the Physical Society of London, 1962), p. 288.

Tyler, I. L.

I. L. Tyler, B. Fischer, and R. J. Bell, Opt. Commun. 8, 145 (1973).

Visser, W. M.

J. Fahrenfort and W. M. Visser, Spectrochim. Acta 21, 1433 (1965).

Wallis, R. F.

E. D. Palik, S. Teitler, B. W. Henvis, and R. F. Wallis, in Reports of the International Conference on the Physics of Semiconductors, Exeter, 1962 (The Institute of Physics and the Physical Society of London, 1962), p. 288.

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Proceedings of the Eleventh International Conference on the Physics of Semiconductors (PWN-Polish Scientific Publishers, Warsaw, 1972), p. 1448.

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Phys. Rev. B 9, 3424 (1974).

E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).

J. J. Brion, R. F. Wallis, A. Hartstein, and E. Burstein, Phys. Rev. Lett. 28, 1455 (1972).

Williams, M. W.

E. T. Arakawa, M. W. Williams, R. N. Hamm, and R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).

Wolter, H.

H. Wolter, Handbuch der Physik, Vol. 24, edited by S. Flügge (Springer, Berlin, 1956), p. 461.

Yildiz, M.

N. J. M. Horing and M. Yildiz (private communication).

Other (34)

J. Fahrenfort, Spectrochim. Acta 17, 698 (1961).

J. Fahrenfort and W. M. Visser, Spectrochim. Acta 21, 1433 (1965).

N. J. Harrick, Internal Reflection Spectroscopy (Wiley-Interscience, New York, 1967), Ch. 2.

M. V. Klein, Optics (Wiley, New York, 1970), Ch. 11.3.

A. Otto, Z. Phys. 216, 398 (1968).

A. S. Barker, Phys. Rev. Lett. 28, 892 (1972).

J. J. Brion, R. F. Wallis, A. Hartstein, and E. Burstein, Phys. Rev. Lett. 28, 1455 (1972).

K. W. Chiu and J. J. Quinn, Phys. Rev. Lett. 29, 600 (1972).

E. D. Palik, R. Kaplan, R. W. Gammon, H. Kaplan, J. J. Quinn, and R. F. Wallis, Phys. Lett. A 45, 143 (1973).

A. Hartstein and E. Burstein, Solid State Commun. 14, 1223 (1974).

H. Wolter, Handbuch der Physik, Vol. 24, edited by S. Flügge (Springer, Berlin, 1956), p. 461.

I. L. Tyler, B. Fischer, and R. J. Bell, Opt. Commun. 8, 145 (1973).

F. Abelès, Ann. Phys. (Paris) 5, 596 (1950); Ann. Phys. (Paris) 5, 706 (1950).

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Phys. Rev. B 9, 3424 (1974).

J. J. Quinn and K. W. Chiu, Taormina Research Conference on the Structure of Matter—Polaritons, 1972.

N. J. M. Horing and M. Yildiz (private communication).

See L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960) for further references.

O. S. Heavens, Optical Properties of Thin Solid Films (Dover, New York, 1965).

See K. W. Chiu and J. J. Quinn, Am. J. Phys. 40, 1847 (1972), and the references therein.

See J. Picht, Abhandlungen der Deutschen Akademie der Wissenschaften zu Berlin, Klasse für Mathematik, Physik und Technik, Jahrgang, 1955.

K. W. Chiu and J. J. Quinn, Nuovo Cimento 10, 1 (1972).

R. E. DeWames and W. F. Hall, Phys. Rev. Lett. 29, 172 (1972).

R. F. Wallis, J. J. Brion, E. Burstein, and A. Hartstein, Proceedings of the Eleventh International Conference on the Physics of Semiconductors (PWN-Polish Scientific Publishers, Warsaw, 1972), p. 1448.

A. Otto (private communication).

B. Fischer, N. Marschall, and H. J. Queisser, Surf. Sci. 34, 50 (1973).

A. S. Barker, Surf. Sci. 34, 62 (1973).

M. Hass, in Semiconductors and Semimetals, Vol. 3, edited by R. K. Willardson and A. C. Beer (Academic, New York, 1967), p. 3.

R. W. Gammon and E. D. Palik, J. Opt. Soc. Am. 64, 350 (1974).

E. T. Arakawa, M. W. Williams, R. N. Hamm, and R. H. Ritchie, Phys. Rev. Lett. 31, 1127 (1973).

R. W. Alexander, G. S. Kovener, and R. J. Bell, Phys. Rev. Lett. 32, 154 (1974).

V. V. Bryksin, Y. M. Gerbshtein, and D. N. Mirlin, Fiz. Tverd. Tela 13, 2125 (1971) [Sov. Phys.-Solid State 13, 1779 (1972)].

E. D. Palik, B. W. Henvis, J. R. Stevenson, and S. Iwasa, Solid State Commun. 6, 721 (1968).

V. V. Bryksin, D. N. Mirlin, and I. I. Reshina, Solid State Commun. 11, 695 (1972).

E. D. Palik, S. Teitler, B. W. Henvis, and R. F. Wallis, in Reports of the International Conference on the Physics of Semiconductors, Exeter, 1962 (The Institute of Physics and the Physical Society of London, 1962), p. 288.

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