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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. I. Korol’kov and A. V. Shanin, Acoust. Phys. 2016. (in press).
A. V. Popov, Akust. Zh. 19, 594 (1973).
A. V. Shanin and A. I. Korolkov, Quart. J. Mech. Appl. Math. 68, 321 (2015).
A. V. Shanin and A. I. Korolkov, Quart. J. Mech. Appl. Math. 68, 341 (2015).
M. I. Herman and J. L. Volakis, Radio Sci. 22, 335 (1987).
A. H. Serbest and G. Uzgören, Radio Sci. 24, 455 (1989).
B. A. Senior, IEEE Trans. Ant. Propag. 27, 808 (1979).
J. L. Volakis and S. S. Bindiganavale, Radio Sci. 31, 401 (1996).
W. D. Burnside, C. L. Yu, and R. J. Marhefka, IEEE Trans. Ant. Propag. 23, 551 (1975).
J. N. Sahalos and G. A. Thiele, IEEE Trans. Ant. Propag. 29, 780 (1981).
T. Ikiz, S. Koshikawa, K. Kobayashi, E. I. Veliev, and A. H. Serbest, J. Electromagn. Waves Appl. 15, 315 (2001).
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).
Y. Z. Umul, Optics Commun. 284, 1760 (2011).
Vinogradova, M.B., Rudenko, O.V., and Sukhorukov, A.P., Theory of Waves (Nauka, Moscow, 1979), [in Russian].
V. A. Fok, Electromagnetic Wave Diffraction and Propagation Problems (Sov. Radio, Moscow, 1970) [in Russian].
G. D. Malyuzhinets, Phys.-Usp. 2, 749 (1959).
A. I. Korol’kov and A. V. Shanin, J. Mathem. Sci. 214, 302 (2014).
G. D. Malyuzhinets, Generalization of Reflection Method in Theory of Diffraction (TsNII “RUMB”, Leningrad, 1981) [in Russian].
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.
M. I. Mishchenko, J. Quantitat. Spectr. Radiat. Trans. 101, 404 (2006).
T. B. A. Senior, Proc. R. Soc. London, Ser. A 213, 436 (1952).
B. Noble, The Wiener-Hopf Technique for the Solution of Partial Differential Equations (Chelsea, 1958).
H. Hönl, A. Maue, and K. Westphal, Theorie der Beugung, Encycl. Phys., Crystal Optics Diffraction, Ed. by S. Flügge, (Springer Verlag, Berlin, 1966).
Author information
Authors and Affiliations
Corresponding author
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
About this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771016050079