Abstract
Double-sided boundary conditions containing only tangential components of a diffracted field are used to model the interaction of electromagnetic waves with a cylinder of arbitrary cross section covered with a thin dielectric layer. The obtained boundary-value problem is reduced to a system of two singular integral equations of the second kind with kernels whose structure is similar to the kernels of integral equations of the first kind for a perfectly conducting scatterer. The numerical solution of the integral equations of the problem is obtained by the method of mechanical quadratures. The scattering properties of an elliptic cylinder with different dielectric coatings are studied in the superhigh-frequency band. It is shown that the coating strongly affects the diffraction properties of the cylinder.
Similar content being viewed by others
References
Z. T. Nazarchuk (editor), Nondestructive Testing and Technical Diagnostics [in Ukrainian], Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv (2001).
A. Ya. Teterko and Z. T. Nazarchuk, Selective Eddy-Current Testing [in Ukrainian], Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv (2004).
V. V. Panasyuk, M. P. Savruk, and Z. T. Nazarchuk, Method of Singular Integral Equations in Two-Dimensional Problems of Diffraction [in Russian], Naukova Dumka, Kiev (1984).
Z. T. Nazarchuk, Numerical Investigation of Diffraction of Electromagnetic Waves on Cylindrical Structures [in Russian], Naukova Dumka, Kiev (1989).
Ya. S. Pidstryhach, “Conditions of thermal contact of solid bodies,” Dop. Akad. Nauk Ukr. RSR. Ser. A, No. 7, 872–874 (1963).
Ya. S. Pidstryhach, “Temperature fields in a system of solid bodies conjugated via a thin interlayer,” Inzh.-Fiz. Zhurn., 7, No. 10, 76–83 (1963).
Ya. I. Burak and B. I. Kolodii, “Determination of the electromagnetic fields in the vicinity of thin macroinclusions (plane problem),” Fiz.-Khim. Mekh. Mater., 1, No. 4, 403–409 (1965).
Ya. I. Burak and L. V. Chernyavskaya, “Conditions of conjugation of electromagnetic fields in a system of solid body and macroinclusion in the case of imperfect contact,” Teor. Élektrotekhn., Issue 6, 16–24 (1969).
Z. T. Nazarchuk, “Mathematical modeling of electromagnetic wave scattering by a thin penetrable defect,” Fiz.-Khim. Mekh. Mater., 39, No. 3, 97–108 (2003).
Z. T. Nazarchuk, “Singular integral equations in wave diffraction on thin cylindrical obstacle,” in: Abstr. of the Internat. Workshop on Advanced Electromagnetics (IWAE’01), Chuo University, Tokyo (2001), p. 25.
Z. T. Nazarchuk and K. Kobayashi, “Mathematical modeling of electromagnetic scattering from a thin penetrable target,” in: Progress in Electromagnetics Research, PIER 55 (2005), pp. 95–116.
E. Bleszynski, M. Bleszynski, and T. Jaroszewich, “Surface integral equations for electromagnetic scattering from impenetrable and penetrable sheets,” IEEE Antennas Propag. Mag., 35, No. 6, 14–25 (1993).
J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes, North-Holland Publ., Amsterdam (1969).
V. V. Klyuev (editor), Instruments for Nondestrictive Testing of Materials and Products. A Handbook [in Russian], Vol. 1, Mashinostroenie, Moscow (1986).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 42, No. 1, pp. 96–104, January–February, 2006.
Rights and permissions
About this article
Cite this article
Nazarchuk, Z.T. Modeling of the scattering of electromagnetic waves by a thin dielectric coating on a cylinder. Mater Sci 42, 102–112 (2006). https://doi.org/10.1007/s11003-006-0062-0
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11003-006-0062-0