The Kontorovich-Lebedev transforms and the semi-inversion method in model excitation problems for a slotted conical antennas

Authors

  • Vladimir A. Doroshenko Kharkiv National University of Radioelectronics, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2003.1239174

Keywords:

complex cone antenna, integral transforms, semi-inversion method, analytical solutions, imperfectly conducting cone

Abstract

The analytical and numerical method for solving a problem of electromagnetic waves scattering on a complex slotted perfectly conical structure is proposed. This method uses the Kontorovich-Lebedev integral transforms and the semi-inversion method. By virtue of it the 3-D scattering problem is reduced to solving algebraic equations system of second kind. The analytical solution is obtained for a single semi-transparent cone. The application of this method for solving an excitation problem for an imperfectly conducting cone is discussed.

References

Felsen, L.B.; Marcuvitz, N. Radiation and scattering of waves. Vol. 2. Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1973.

Goshin, G.G. Boundary-value problems of electrodynamics in conic region. Tomsk: Tomsk State University Public., 1987 (in Russian).

Shestopalov, V.P. Summary equations in modem diffraction theory. Kiev: Naukova dumka, 1983 (in Russian).

Doroshenko, V.A.; Kravchenko, V.F. The scattering of plane electromagnetic waves from a cone with longitudinal slots. Journal of Communications Technology and Electronics, Vol. 46, No. 3, 2001, p. 271. Translated from Radiotekhnica I Elektronika, Vol. 46, No. 3, p. 296 (in Russian).

Published

2003-09-14