Radiophysics and Quantum Electronics

, Volume 35, Issue 3–4, pp 163–169 | Cite as

Toward a theory of diffraction by the boundary of a highly reflective medium with periodically modulated characteristics

  • A. V. Kats
  • P. D. Pavitskii
  • I. S. Spevak
Article

Abstract

The problem of diffraction by simultaneously existing surface-profile and impedance gratings in the presence of resonance with a surface electromagnetic wave is examined. The problem is solved in an impedance approximation (Leontovich boundary condition) using Rayleigh's hypothesis. The solution method is based on the distinguishing of resonance fields, for which a finite system of equations is constructed. A proposed regular procedure for exclusion of nonresonance fields makes it possible to obtain a solution with any accuracy for any polarization of the incident radiation and orientation of the gratings. Specific results are given in a principal approximation for the case of several resonances in the first-order spectra.

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Literature Cited

  1. 1.
    R. W. Wood, Phys. Rev.,48, No. 11, 928 (1935).Google Scholar
  2. 2.
    D. Maystre and R. Petit, Opt. Commun.,17, No. 2, 196 (1976).Google Scholar
  3. 3.
    G. M. Gandel'man and P. S. Kondratenko, Pis'ma Zh. Éksp. Teor. Fiz.,38, No. 5, 246 (1983).Google Scholar
  4. 4.
    R. Chang and T. Fukata (eds.), Giant Combination Scattering [Russian translation], Mir, Moscow (1984).Google Scholar
  5. 5.
    A. M. Bonch-Bruevich, M. K. Kochengina, et al., Izv. Akad. Nauk SSSR, Ser. Fiz.,46, No. 6, 1186 (1982).Google Scholar
  6. 6.
    J. E. Sipe and J. F. Young, Phys. Rev. B,27, No. 2, 1141, 1155 (1983); Phys. Rev. B,30, No. 4, 2001 (1984).Google Scholar
  7. 7.
    S. A. Akhmanov, V. I. Emel'yanov, et al., Usp. Fiz. Nauk,147, No. 4, 673 (1985).Google Scholar
  8. 8.
    I. S. Spevak, V. M. Kontorovich, et al. Zh. Éksp. Teor. Fiz.,93, No. 1, 104 (1987).Google Scholar
  9. 9.
    S. R. J. Brueck and D. J. Ehrlich, Phys. Rev. Lett.,48, No. 24, 1678 (1982).Google Scholar
  10. 10.
    E. K. Kozlova, A. I. Portnyagin, et al., Kvantovaya Élektron.,11, No. 6, 1280 (1984).Google Scholar
  11. 11.
    L. V. Belyakov, D. N. Goryachev, et al., Pis'ma Zh. Tekh. Fiz.,13, No. 5, 261 (1987).Google Scholar
  12. 12.
    A. A. Kovalev, P. S. Kondratenko, and B. N. Levinskii, Kvantovaya Élektron.,16, No. 5, 1021 (1989).Google Scholar
  13. 13.
    Z. Gousheng, P. M. Feuchet, and A. E. Siegman, Phys. Rev. B,26, No. 10, 5366 (1982).Google Scholar
  14. 14.
    V. V. Kapaev, Zh. Éksp. Teor. Fiz.,94, No. 12, 50 (1988).Google Scholar
  15. 15.
    A. A. Kovalev, P. S. Kondratenko, and Yu. N. Orlov, Izv. Akad. Nauk SSSR, Ser. Fiz.,53, No. 3, 572 (1989).Google Scholar
  16. 16.
    L. A. Ageev, V. B. Blokha, and V. K. Miloslavskii, Ukr. Fiz. Zh.,30, No. 4, 511 (1985); Poverkhnost',12, 31 (1987).Google Scholar
  17. 17.
    S. V. Kondrashov, N. F. Pilipetskii, et al., Pis'ma Zh. Tekh. Fiz.,11, No. 3, 153 (1985).Google Scholar
  18. 18.
    L. N. Deryugin, Dokl. Akad. Nauk SSSR,94, No. 3, 203 (1954).Google Scholar
  19. 19.
    I. A. Urusovskii, Dokl. Akad. Nauk SSSR,131, No. 4, 801 (1960).Google Scholar
  20. 20.
    Yu. P. Lysanov, Akust. Zh.,6, No. 1, 77 (1960).Google Scholar
  21. 21.
    A. V. Kats and V. V. Maslov, Zh. Éksp. Teor. Fiz.,62, No. 2, 496 (1972).Google Scholar
  22. 22.
    V. I. Emel'yanov, V. N. Seminogov, and V. I. Sokolov, Kvantovaya Élektron.,14, No. 10, 2028 (1987).Google Scholar
  23. 23.
    S. A. Akhmanov, V. N. Seminogov and V. I. Sokolov, Zh. Éksp. Teor. Fiz.,93, No. 5, 1654 (1987).Google Scholar
  24. 24.
    A. A. Kovalev, P. S. Kondratenko and B. N. Levinskii, Radiotekh. Élektron.,33, No. 8, 1610 (1988).Google Scholar
  25. 25.
    A. V. Kats, P. D. Pavitskii, and I. S. Spevak, in: Waves and Diffraction-90 [in Russian], Vol. 3, Physical Society, Moscow (1990), p. 66.Google Scholar
  26. 26.
    L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Nauka, Moscow (1982).Google Scholar
  27. 27.
    A. A. Kovalev, P. S. Kondratenko, and B. N. Levinskii, Izv Vyssh. Uchebn. Zaved., Radiofiz.,32, No. 7, 915 (1989).Google Scholar
  28. 28.
    G. M. Gandel'man and P. S. Kondratenko, Zh. Éksp. Teor. Fiz.,88, No. 4, 1470 (1985).Google Scholar
  29. 29.
    V. V. Kapaev, Mikroélektronika,14, No. 3, 222 (1985).Google Scholar
  30. 30.
    V. N. Seminogov and A. I. Khudobenko, Zh. Éksp. Teor. Fiz.,96, No. 2, 504 (1989).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • A. V. Kats
  • P. D. Pavitskii
  • I. S. Spevak

There are no affiliations available

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