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Electromagnetic Surface Excitations on Rough Surfaces

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Electromagnetic Surface Excitations

Part of the book series: Springer Series on Wave Phenomena ((SSWAV,volume 3))

Abstract

All solid surfaces, even very carefully prepared ones, possess some degree of roughness. It becomes a matter of interest, then, to examine the consequences of that roughness for physical phenomena associated with surfaces. The propagation of surface waves across a rough surface has a particular interest in this regard, because the fields associated with such waves can be localized to the surface within a distance comparable with the lengths characterizing the surface roughness. The interaction between a surface wave and surface roughness can be very strong as a result.

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References

  1. Lord Rayleigh, Phil. Mag. 14, 70 (1907); Theory of Sound, 2nd. ed. (Dover, New York, 1945), vol. II, p. 89.

    Google Scholar 

  2. J. D. Jackson, Classical Electrodynamics ( Wiley, New York, 1962 ), pp. 283–285.

    Google Scholar 

  3. E. Wolf, in Coherence and Quantum Optics, eds. L. Mandl and E. Wolf ( Plenum, New York, 1973 ), p. 339.

    Google Scholar 

  4. R. F. Millar, Proc. Camb. Phil. Soc. 65, 773 (1969).

    Google Scholar 

  5. R. Petit and M. Cadilhac, C. R. Acad. Sci. B262, 468 (1966).

    Google Scholar 

  6. R. F. Millar, Proc. Camb. Phil. Soc. 69, 175, 217 (1971); Radio Sci. _8, 785 (1973).

    Google Scholar 

  7. N. R. Hill and V. Celli, Phys. Rev. B17, 2478 (1978).

    Google Scholar 

  8. P.M. van den Berg and J. T. Fokkema, J. Opt. Soc. Am. 69, 27 (1979); Radio Sci. 15, 723 (1980).

    Google Scholar 

  9. B. Laks, D. L. Mills, and A. A. Maradudin, Phys. Rev. B23, 4965 (1981).

    Google Scholar 

  10. N. E. Glass and A. A. Maradudin, Phys. Rev. B24, 595 (1981).

    Google Scholar 

  11. N. E. Glass, R. Loudon, and A. A. Maradudin, Phys. Rev. B24, 6843 (1981).

    Google Scholar 

  12. N. E. Glass and A. A. Maradudin, Electronics Lett. 17, 773 (1981).

    Google Scholar 

  13. R. E. Camley, N. E. Glass, and A. A. Maradudin, J. Appl. Phys. 53, 3170 (1970).

    Google Scholar 

  14. F. 0. Goodman, J. Chem. Phys. 66, 976 (1977).

    Google Scholar 

  15. R. H. Ritchie, Phys. Rev. 106, 874 (1957).

    Google Scholar 

  16. H. Raether, in Physics of Thin Films, vol. 9 ( Academic Press, New York, 1977 ), p. 145.

    Google Scholar 

  17. H. Raether, in Surface Polaritons, eds. V. M. Agranovich and D. L. Mills ( North-Holland, Amsterdam, 1982 ), p. 331.

    Google Scholar 

  18. A. A. Maradudin, in Surface Polaritons, eds. V. M. Agranovich and D. L. Mills ( North-Holland, Amsterdam, 1982 ), p. 405.

    Google Scholar 

  19. P. Mazur and D. L. Mills, J. Appl. Phys. 54, 3735 (1983).

    Google Scholar 

  20. R. G. Lee, Jr., G. A. Farias, A. A. Maradudin, and B. Muhlschlegel (unpublished work).

    Google Scholar 

  21. A. A. Maradudin (unpublished work).

    Google Scholar 

  22. H. Davies, Proc. Inst. Elec. Engrs. (London) 101, Pt. IV, 209 (1954).

    Google Scholar 

  23. H. E. Bennett, J. Opt. Soc. Am. 53, 1389 (1963).

    Google Scholar 

  24. J. 0. Porteus, J. Opt. Soc. Am. _53_, 1394 (1963).

    Google Scholar 

  25. J. Bramberg and H. Raether, Phys. Rev. Lett. 15, 882 (1965); Z. Physik 199, 118 (1967).

    Google Scholar 

  26. J. Bosenberg, Phys. Lett. 26A, 74 (1967).

    Google Scholar 

  27. E. A. Stern, Phys. Rev. Lett. 19, 1321 (1967).

    Google Scholar 

  28. R. H. Ritchie and R. E. Wilems, Phys. Rev. 178, 372 (1969); 184, 254 (1969).

    Google Scholar 

  29. J. Crowell and R. H. Ritchie, J. Opt. Soc. Am. 60, 794 (1970).

    Google Scholar 

  30. E. Kretschmann, T. L. Ferrel, and J. C. Ashley, Phys. Rev. Lett. _42 1312 (1979).

    Google Scholar 

  31. J. G. Endriz and W. E. Spicer, Phys. Rev. B4, 4144, 4159 (1971).

    Article  Google Scholar 

  32. A. Daud£, A. Savary, and S. Robin, J. Opt. Soc. Am. 62, 1 (1972).

    Google Scholar 

  33. T. F. Gesell, E. T. Arakawa, M. Williams, and R. N. Hamm, Phys. Rev. B7_, 5141 (1972).

    Google Scholar 

  34. F. U. Hillebrecht, J. Phys. D13, 1625 (1980).

    Google Scholar 

  35. M. Rasigni, G. Rasigni, and J. P. Palmari, J. Opt. Soc Am. 11, 1230 (1981).

    Google Scholar 

  36. G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, Phys. Rev. B25, 2315 (1982).

    Google Scholar 

  37. P. Dobberstein, Phys. Lett. 31A, 307 (1970).

    Google Scholar 

  38. J. Eastman and P. W. Baumeister, Opt. Commun. 12, 418 (1974).

    Google Scholar 

  39. M. Rasigni, G. Rasigni, C. T. Hua, and J. Pons, Opt. Lett. 1 126 (1977).

    Google Scholar 

  40. F. Jansen and R. W. Hoffman, Surf. Sci. S3, 313 (1979).

    Google Scholar 

  41. M. Rasigni and G. Rasigni, Phys. Rev. B19, 1915 (1979).

    Google Scholar 

  42. G. Rasigni, F. Varnier, M. Rasigni, and J. P. Palmari, Opt. Commun. 43, 409 (1982).

    Google Scholar 

  43. G. Rasigni, F.Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, Phys. Rev. B27, 819 (1983).

    Google Scholar 

  44. W. Kaspar and U. Kreibig, Surf. Sci. 69_ 619 (1977).

    Google Scholar 

  45. G. Rasigni, F. Varnier, M. Rasigni, and A. Llebaria, Phys. Rev. B29, 5931 (1984).

    Google Scholar 

  46. M. G. Kendall and A. Stuart, The Advanced Theory of Statistics (Griffin, London, 1963 ), Vol. I, p. 234.

    Google Scholar 

  47. Ref. 2, pp. 14–15.

    Google Scholar 

  48. G. A. Farias and A. A. Maradudin, Phys. Rev. B28, 5675 (1983).

    Google Scholar 

  49. G. C. Brown, V. Celli, M. Haller, and A. Marvin, Surf. Sci. 136, 381 (1984).

    Google Scholar 

  50. F. Toigo, A. Marvin, V. Celli, and N. R. Hill, Phys. Rev. B15, 5618 (1977).

    Google Scholar 

  51. R. W. Rendell, D. J. Scalapino, and B. Muhlschlegel, Phys. Rev. Lett. 41_, 1746 (1978).

    Google Scholar 

  52. R. W. Rendell and D. J. Scalapino, Phys. Rev. B24, 3276 (1981).

    Google Scholar 

  53. D. W. Berreman, Phys. Rev. 163, 855 (1967).

    Google Scholar 

  54. R. Ruppin, Solid State Commun. 39, 908 (1981).

    Google Scholar 

  55. J. I. Gersten and A. Nitzan, J. Chem. Phys. 75, 1139 (1981).

    Google Scholar 

  56. P. C. Das and J. I. Gersten, Phys. Rev. B25, 6281 (1982).

    Google Scholar 

  57. A. G. Malshukov and Sh. A. Shekhmamet1ev, Fiz. Tver. Tela 25, 2623 (1983) [Soviet Physics - Solid State 25, 1509 (1983)].

    Google Scholar 

  58. A. A. Maradudin and W. M. Visscher, Zeit. Physik B (to appear).

    Google Scholar 

  59. See, for example, M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), p. 890. Note that in the expression for the weights given in Section 25.4.45 of this reference the factor (n+1)2 in the denominator must be replaced by ((n+1)2

    Google Scholar 

  60. I am grateful to T. P. Shen for carrying out these calculations.

    Google Scholar 

  61. P. B. Johnson and R. W. Christy, Phys. Rev. B6, 4370 (1972).

    Google Scholar 

  62. I. Pockrand, Opt. Commun. 13, 311 (1975).

    Google Scholar 

  63. I. Pockrand and H. Raether, Opt. Commun. 17, 353 (1976); 18, 395 (1976).

    CAS  Google Scholar 

  64. P. F. Liao, J. G. Bergman, D. S. Chemla, A. Wokaun, J. Melngailis, A. M. Hawryluk, and N. P. Economou, Chem. Phys. Lett. 82, 355 (1981).

    Google Scholar 

  65. N. E. Glass, A. A. Maradudin, and V. Celli, Phys. Rev. B26 5357 (1982).

    Google Scholar 

  66. P. M. van den Berg and J. C. M. Borburgh, Appl. Phys. 3, 55 (1974).

    Google Scholar 

  67. T. S. Rahman and A. A. Maradudin, Phys. Rev. B21, 2137 (1980).

    Google Scholar 

  68. A. A. Maradudin, in Proc. Autumn School on Surface Physics, Varna, Bulgaria, October, 1980, ed. I. J. Lalov ( Bulgarian Academy of Sciences, Sofia, 1981 ).

    Google Scholar 

  69. R. E. Palmer and S. E. Schnatterley, Phys. Rev. B4, 2329 (1971).

    Google Scholar 

  70. R. Kotz, M. J. Lewerenz, and E. Kretschmann, Phys. Lett. 70A, 452 (1979).

    Google Scholar 

  71. M. W. Williams, J. C. Ashley, E. Kretschmann, T. A. Callcott, M. S. Chung, and E. T. Arakawa, Phys. Lett. 73A, 231 (1979).

    Google Scholar 

  72. T. Lopez-Rios and Y. Borensztein, Phys. Rev. B31, 5507 (1985).

    Google Scholar 

  73. A. A. Maradudin and W. Zierau, Phys. Rev. B14, 484 (1976).

    Google Scholar 

  74. D. L. Mills, Phys. Rev. B12, 4036 (1975).

    Google Scholar 

  75. A. A. Maradudin, in Nonequilibrium Phonon Dynamics, ed. W. E. Bron ( Plenum, New York, 1985 ), p. 395.

    Google Scholar 

  76. A. Wirgin and A. A. Maradudin, Phys. Rev. B31, 5573 (1985).

    Google Scholar 

  77. See, for example, B. Fischer and J. Lagois, in Topics in Current Physics, vol. 14: Excitons, ed. K. Cho (Springer-Verlag, Berlin, 1979), ch. 4.

    Google Scholar 

  78. A. A. Maradudin, Surf. Sei. 81 15 (1979).

    Google Scholar 

  79. N. J. M. Höring, in Proc. 7th Intern. Vacuum Congr. and 3rd Intern. Conf. on Solid Surfaces, eds. R. Dobrozemsky, F. Rudenauer, F. P. Viebock and A. Breth ( Berger, Vienna, 1977 ), p. 419.

    Google Scholar 

  80. A. A. Maradudin and D. L. Mills, Phys. Rev. B7, 2787 (1973).

    Google Scholar 

  81. D. N. Pattanayak and J. L. Birman, Solid State Commun. 28, 927 (1978).

    Google Scholar 

  82. R. Englman and R. Ruppin, J. Phys. CI, 614, 1515 (1968).

    Article  Google Scholar 

  83. R. Ruppin and R. Englman, J. Phys. CI, 630 (1968).

    Google Scholar 

  84. L. Genzel, T. P. Martin, and U. Kreibig, Z. Physik B21, 339 (1975).

    Google Scholar 

  85. See. for example, U. Frisch, in Probabilistic Methods in Applied Mathematics, ed. A. T. Barucha-Reid, vol. I ( Academic Press, New York, 1968 ), p. 76.

    Google Scholar 

  86. G. Brown, V. Celli, M. Haller, A. A. Maradudin, and A. M. Marvin, Phys. Rev. B31, 4993 (1985).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Physics, University of California, Irvine, CA, 92717, USA

    A. A. Maradudin

  2. Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-7000, Stuttgart 80, Germany

    A. A. Maradudin

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  1. A. A. Maradudin
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Editors and Affiliations

  1. Department of Physics, University of California, Irvine, CA, 92717, USA

    Richard F. Wallis

  2. Optical Sciences Center, University of Arizona, Tucson, AZ, 85721, USA

    George I. Stegeman

  3. 981 East Lawn Drive, Teaneck, NJ, 07666, USA

    Theodor Tamir Ph. D.

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© 1986 Springer-Verlag Berlin Heidelberg

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Maradudin, A.A. (1986). Electromagnetic Surface Excitations on Rough Surfaces. In: Wallis, R.F., Stegeman, G.I., Tamir, T. (eds) Electromagnetic Surface Excitations. Springer Series on Wave Phenomena, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82715-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-82715-0_5

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  • Print ISBN: 978-3-642-82717-4

  • Online ISBN: 978-3-642-82715-0

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