Skip to main content
Log in

High-frequency wave diffraction by an impedance segment at oblique incidence

  • Classical Problems of Linear Acoustics and Wave Theory
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

The plane problem of high-frequency acoustic wave diffraction by a segment with impedance boundary conditions is considered. The angle of incidence of waves is assumed to be small (oblique). The paper generalizes the method previously developed by the authors for an ideal segment (with Dirichlet or Neumann boundary conditions). An expression for the directional pattern of the scattered field is derived. The optical theorem is proved for the case of the parabolic equation. The surface wave amplitude is calculated, and the results are numerically verified by the integral equation method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. I. Korol’kov and A. V. Shanin, Acoust. Phys. 2016. (in press).

    Google Scholar 

  2. A. V. Popov, Akust. Zh. 19, 594 (1973).

    Google Scholar 

  3. A. V. Shanin and A. I. Korolkov, Quart. J. Mech. Appl. Math. 68, 321 (2015).

    Article  MathSciNet  Google Scholar 

  4. A. V. Shanin and A. I. Korolkov, Quart. J. Mech. Appl. Math. 68, 341 (2015).

    Article  MathSciNet  Google Scholar 

  5. M. I. Herman and J. L. Volakis, Radio Sci. 22, 335 (1987).

    Article  ADS  Google Scholar 

  6. A. H. Serbest and G. Uzgören, Radio Sci. 24, 455 (1989).

    Article  Google Scholar 

  7. B. A. Senior, IEEE Trans. Ant. Propag. 27, 808 (1979).

    Article  ADS  Google Scholar 

  8. J. L. Volakis and S. S. Bindiganavale, Radio Sci. 31, 401 (1996).

    Article  ADS  Google Scholar 

  9. W. D. Burnside, C. L. Yu, and R. J. Marhefka, IEEE Trans. Ant. Propag. 23, 551 (1975).

    Article  ADS  Google Scholar 

  10. J. N. Sahalos and G. A. Thiele, IEEE Trans. Ant. Propag. 29, 780 (1981).

    Article  ADS  Google Scholar 

  11. T. Ikiz, S. Koshikawa, K. Kobayashi, E. I. Veliev, and A. H. Serbest, J. Electromagn. Waves Appl. 15, 315 (2001).

    Article  MathSciNet  Google Scholar 

  12. A. H. Serbest and A. Büyükaksoy, Some Approximate Methods Related to the Diffraction by Strips and Slits, Ed. by M. Hashimoto, M. Idemen, and O. A. Tretyakov, (Sci. House, Tokyo, 1993).

  13. Y. Z. Umul, Optics Commun. 284, 1760 (2011).

    Article  ADS  Google Scholar 

  14. Vinogradova, M.B., Rudenko, O.V., and Sukhorukov, A.P., Theory of Waves (Nauka, Moscow, 1979), [in Russian].

    MATH  Google Scholar 

  15. V. A. Fok, Electromagnetic Wave Diffraction and Propagation Problems (Sov. Radio, Moscow, 1970) [in Russian].

    Google Scholar 

  16. G. D. Malyuzhinets, Phys.-Usp. 2, 749 (1959).

    ADS  Google Scholar 

  17. A. I. Korol’kov and A. V. Shanin, J. Mathem. Sci. 214, 302 (2014).

    Article  MathSciNet  Google Scholar 

  18. G. D. Malyuzhinets, Generalization of Reflection Method in Theory of Diffraction (TsNII “RUMB”, Leningrad, 1981) [in Russian].

    Google Scholar 

  19. S. Ström, in The Scattered Field. Field Representation and Introduction to Scattering, Ed. by V. V. Varadan, A. Lakhtakia, and V. K. Varadan, (Elsevier Sci., 1991), pp. 143–149.

  20. M. I. Mishchenko, J. Quantitat. Spectr. Radiat. Trans. 101, 404 (2006).

    Article  ADS  Google Scholar 

  21. T. B. A. Senior, Proc. R. Soc. London, Ser. A 213, 436 (1952).

    Article  ADS  MathSciNet  Google Scholar 

  22. B. Noble, The Wiener-Hopf Technique for the Solution of Partial Differential Equations (Chelsea, 1958).

    MATH  Google Scholar 

  23. H. Hönl, A. Maue, and K. Westphal, Theorie der Beugung, Encycl. Phys., Crystal Optics Diffraction, Ed. by S. Flügge, (Springer Verlag, Berlin, 1966).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. I. Korol’kov.

Additional information

Original Russian Text © A.I. Korol’kov, A.V. Shanin, 2016, published in Akusticheskii Zhurnal, 2016, Vol. 62, No. 6, pp. 648–656.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Korol’kov, A.I., Shanin, A.V. High-frequency wave diffraction by an impedance segment at oblique incidence. Acoust. Phys. 62, 651–658 (2016). https://doi.org/10.1134/S1063771016050079

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063771016050079

Keywords

Navigation