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.
Similar content being viewed by others
REFERENCES
A. Sommerfeld, Optics, Academic Press, New York (1953).
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).
A. I. Potekhin, Certain Problems of Diffraction of Electromagnetic Waves [in Russian], Sovetskoe Radio, Moscow (1948).
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).
G. T. Markov, in: Trudy MÉI, Radiotekh., No. 21, Gosénergoizdat, Moscow (1956).
L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, Englewood Cliffs, N.J. (1973).
M. S. Bobrovnikov and V. V. Fisanov, Diffraction of Waves in Angular Domains [in Russian], Tomsk State University Press, Tomsk (1988).
E. I. Nefedov, Diffraction of Electromagnetic Waves by Dielectric Structures [in Russian], Nauka, Moscow (1979).
M. A. K. Hamid, IEEE Trans. Antennas Propagat., AP-21, No. 3, 398 (1973).
E. N. Vasil'ev and V. I. Okhmatovsky, Radiotekh. Élektron., 41, No. 9, 1033 (1996).
E. I. Ivanov, Diffraction of Electromagnetic Waves by Two Bodies [in Russian], Nauka i Tekhnika, Minsk (1968).
V. I. Smirnov, A Course in Higher Mathematics, Vol. 2 [in Russian], GITTL, Moscow (1957).
C. C.-H. Tang, J. Appl. Phys., 28, 628 (1957).
Ye. V. Shepilko, in: Proc. VIIth International Conference “Mathematical Methods in Electromagnetic Theory,” Kharkov (1998), p. 511.
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1023/A:1015236421622