Singular integral equations method in mathematical modeling of specific open conical structure excitation

Authors

  • Vladimir A. Doroshenko Kharkiv National University of Radioelectronics, Ukraine
  • A. P. Blishun Kharkiv National University of Radioelectronics, Ukraine
  • Y. D. Shimuk Kharkiv National University of Radioelectronics, Ukraine
  • N. G. Zuev Kharkiv National University of Radioelectronics, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2011.6170753

Keywords:

singular integral equation, semi-infinite circular cone, Green’s function, Meler-Fock integral transforms, Legendre’s function

Abstract

A numerical and analytical approach for mathematical modeling of specific open conical structure with interior solid shield excitation by impulse source is proposed. The solution method is based on the combination of the Meler-Fock integral transforms and the Cauchy-type core singular integral equations method.

References

MUSKHELISHVILI, N.I. Singular Integral Equations. Moscow: Nauka, 1968 [in Russian].

BELOTSERKOVSKII, S.M.; LIFANOV, I.K. Numerical Methods in Singular Integral Equations. Moscow: Nauka, 1985 [in Russian].

LIFANOV, I.K. Method of Singular Integral Equations and Numerical Experiment. Moscow: Yanus, 2005 [in Russian].

GANDEL, Y.V.; POLYANSKAYA, T.S. Differential Equations. 2003, v.39, n.9, p.1229-1239, doi: http://dx.doi.org/10.1023/B:DIEQ.0000012697.36651.0d.

DOROSHENKO, V.A.; KRAVCHENKO, V.F. Diffraction of Electromagnetic Waves on Open Conical Structures. Moscow: FIZMATLIT, 2009 [in Russian, ed. by V. F. Kravchenko].

ICATT 2011 cover

Published

2011-09-25

Issue

2011: ICATT’2011 - Proc. of VIII Int. Conf. on Antenna Theory and Techniques

Section

Analytical and numerical methods