Skip to main content
Log in

Diffraction of a Plane Electromagnetic Wave by an Infinite Double-Ridge Wedge with a Dielectric Cylinder at the Crest

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

We reduce the considered problem to solving a matrix equation of the second kind for unknown coefficients of expansion of a diffracted field into a Fourier–Bessel series. This expansion was obtained by imposing boundary conditions on the diffracted field with the subsequent re-expansion of the field function over basis functions in a given interval. The expansion coefficients were determined analytically in the case where the electric diameter of the cylinder is less than unity as well as numerically with a high accuracy by solving the obtained matrix equation using the reduction method. We derived expressions for the pattern of the far-zone field scattered by the studied structure and the backscattering cross section and give exact numerical results for the case of an E-polarized incident wave.

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. Sommerfeld, Optics, Academic Press, New York (1953).

    Google Scholar 

  2. G. A. Grinberg, Selected Problems of the Mathematical Theory of Electric and Magnetic Phenomena [in Russian], Academy of Sciences of the USSR, Moscow-Leningrad (1948).

    Google Scholar 

  3. A. I. Potekhin, Certain Problems of Diffraction of Electromagnetic Waves [in Russian], Sovetskoe Radio, Moscow (1948).

    Google Scholar 

  4. G. D. Maliuzhinets, “Certain generalizations of the method of reflections in the theory of diffraction of sinusoidal waves,” D.Sc. Thesis [in Russian], Physical Institute of the Academy of Sciences of the USSR, Moscow (1951).

    Google Scholar 

  5. G. T. Markov, in: Trudy MÉI, Radiotekh., No. 21, Gosénergoizdat, Moscow (1956).

    Google Scholar 

  6. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, Englewood Cliffs, N.J. (1973).

    Google Scholar 

  7. M. S. Bobrovnikov and V. V. Fisanov, Diffraction of Waves in Angular Domains [in Russian], Tomsk State University Press, Tomsk (1988).

    Google Scholar 

  8. E. I. Nefedov, Diffraction of Electromagnetic Waves by Dielectric Structures [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  9. M. A. K. Hamid, IEEE Trans. Antennas Propagat., AP-21, No. 3, 398 (1973).

    Google Scholar 

  10. E. N. Vasil'ev and V. I. Okhmatovsky, Radiotekh. Élektron., 41, No. 9, 1033 (1996).

    Google Scholar 

  11. E. I. Ivanov, Diffraction of Electromagnetic Waves by Two Bodies [in Russian], Nauka i Tekhnika, Minsk (1968).

    Google Scholar 

  12. V. I. Smirnov, A Course in Higher Mathematics, Vol. 2 [in Russian], GITTL, Moscow (1957).

    Google Scholar 

  13. C. C.-H. Tang, J. Appl. Phys., 28, 628 (1957).

    Google Scholar 

  14. Ye. V. Shepilko, in: Proc. VIIth International Conference “Mathematical Methods in Electromagnetic Theory,” Kharkov (1998), p. 511.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shepilko, E.V. Diffraction of a Plane Electromagnetic Wave by an Infinite Double-Ridge Wedge with a Dielectric Cylinder at the Crest. Radiophysics and Quantum Electronics 45, 23–28 (2002). https://doi.org/10.1023/A:1015236421622

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1015236421622

Keywords

Navigation