Abstract—The article presents a rigorous numerical solution, using the Wiener–Hopf method, to the problem of plane wave diffraction in a half-plane with generalized two-sided impedance boundary conditions describing various types of structures, including thin superconducting layers with a thickness comparable to the thickness of the skin layer. Expressions are obtained for the field scattered by the half-plane in the far field. For the rigorous solution, a heuristic formula is constructed that approximately describes the scattered field. It is shown that heuristic relations qualitatively and in many cases quantitatively correctly describe the scattering characteristics of the half-plane. A physical interpretation of the rigorous solution is proposed, based on the obtained heuristic relations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. Sommerfeld, Math. Ann. 47, 317 (1896).
E. N. Vasil’ev, Excitation of Bodies of Revolution (Radio iSvyaz’, Moscow, 1987) [in Russian].
E. I. Nefedov and A. T. Fialkovskii, Strip Transmission Lines (Nauka, Moscow, 1980) [in Russian].
M. Leontovich and M. Levin, Z. Tekh. Fiz. 14, 481 (1944).
T. B. A. Senior, Proc. R. Soc. London, Ser. A 213 (1115), 436 (1952).
T. B. A. Senior, Radio Sci. 10, 645 (1975).
S. E. Bankov, Integrated Microwave Optics (Fizmatlit, Moscow, 2018) [in Russian].
E. P. Kurushin, E.I. Nefedov, and A. T. Fialkovskii, Diffraction of Electromagnetic Waves on Anisotropic Structures (Nauka, Moscow, 1975) [in Russian].
S. E. Bankov, J. Commun. Technol. Electron. 58, 974 (2013).
T. B. A. Senior, Radio Sci. 10, 911 (1975).
V. F. Kravchenko, Electromagnetics of Superconducting Structures. Theory, Algorithms and Computing Technique (Fizmatlit, Moscow, 2006) [in Russian].
B. Munk, Frequency Selective Surfaces: Theory and Design (Wiley, New York, 2000).
B. Noble, Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations (Pergamon, Oxford, 1958; InostrannayaLiteratura, Moscow, 1962).
D. M. Sazonov, Microwave Circuits and Antennas (Vysshaya Shkola, Moscow, 1988; Mir, Moscow, 1990).
H. Hönl, A. W. Maue, and K. Westpfahl, Handbuch der Physik, Ed. by S. Flügge (Springer-Verlag, Berlin, 1961; Mir, Moscow, 1964),
Y. A. Kravtsov and Ning Yan Zhu, Theory of Diffraction: Heuristic Approaches (Alpha Sci. Int., Oxford, 2010). A. Kravtsov and N. Y. Zhu, Theory of Diffraction: Heuristic Approaches (Alpha Science Int. Ltd, Oxford, 2010).
M. V. Vesnik, The Method of the Generalized Eikonal. New Approaches in the Diffraction Theory (Walter de Gruyter GmbN, Berlin, 2015).
M. V. Vesnik, Sovrem. Mat. Fundam. Naprav. (SMFN) 6, 32 (2016).
P. Ya. Ufimtsev, Method of Edge Waves in the Physical Theory of Diffraction (Sovetskoe Radio, Moscow, 1962; US Air Force Foreign Technology Division, 1-1154, 1962).
M. V. Vesnik, J. Commun. Technol. Electron. 64, 1211 (2019).
C. V. Raman and K. S. Krishnan, Proc. Rou Soc. Lond. A 116, 254 (1927).
J. Shmoys, IRE Trans. on Antennas Propag. 7 (5), 88 (1959).
H. M. El-Sallabi, I. T. Rekanos, and P. Vainikainen, IEEE Antennas & Wireless Propag. Lett. 1, 165 (2002).
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Bankov, S.E., Vesnik, M.V. & Kravchenko, V.F. Heuristic Solution to the Diffraction Problem on a Superconducting Half-Plane. J. Commun. Technol. Electron. 65, 398–405 (2020). https://doi.org/10.1134/S1064226920040014
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226920040014