Materials Science

, Volume 42, Issue 1, pp 102–112 | Cite as

Modeling of the scattering of electromagnetic waves by a thin dielectric coating on a cylinder

  • Z. T. Nazarchuk


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.


Electromagnetic Wave Singular Integral Equation Elliptic Cylinder Dielectric Coating Arbitrary Cross Section 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Z. T. Nazarchuk (editor), Nondestructive Testing and Technical Diagnostics [in Ukrainian], Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv (2001).Google Scholar
  2. 2.
    A. Ya. Teterko and Z. T. Nazarchuk, Selective Eddy-Current Testing [in Ukrainian], Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv (2004).Google Scholar
  3. 3.
    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).Google Scholar
  4. 4.
    Z. T. Nazarchuk, Numerical Investigation of Diffraction of Electromagnetic Waves on Cylindrical Structures [in Russian], Naukova Dumka, Kiev (1989).Google Scholar
  5. 5.
    Ya. S. Pidstryhach, “Conditions of thermal contact of solid bodies,” Dop. Akad. Nauk Ukr. RSR. Ser. A, No. 7, 872–874 (1963).Google Scholar
  6. 6.
    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).Google Scholar
  7. 7.
    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).Google Scholar
  8. 8.
    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).Google Scholar
  9. 9.
    Z. T. Nazarchuk, “Mathematical modeling of electromagnetic wave scattering by a thin penetrable defect,” Fiz.-Khim. Mekh. Mater., 39, No. 3, 97–108 (2003).Google Scholar
  10. 10.
    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.Google Scholar
  11. 11.
    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.Google Scholar
  12. 12.
    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).CrossRefGoogle Scholar
  13. 13.
    J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes, North-Holland Publ., Amsterdam (1969).Google Scholar
  14. 14.
    V. V. Klyuev (editor), Instruments for Nondestrictive Testing of Materials and Products. A Handbook [in Russian], Vol. 1, Mashinostroenie, Moscow (1986).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • Z. T. Nazarchuk
    • 1
  1. 1.Karpenko Physicomechanical InstituteUkrainian Academy of SciencesLviv

Personalised recommendations