Horizontal electrical dipole radiation out of a dielectric ball shielded by a spherical segment

Authors

  • Vyachelav A. Rezunenko Karazin Kharkiv National University, Ukraine
  • S. V. Roshchupkin Skovoroda Kharkiv National Pedagogical University, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2013.6650797

Keywords:

radiation waves, sphere with circular aperture and inner ball, horizontal electrical dipole, method regularization, characteristics of spherical antenna

Abstract

The regularization tasks of the horizontal electrical dipole radiation out of a sphere with the circular aperture with dielectrical ball loading are constructed and analyzed. We discussed of the separation of the boundary conditions for scalar electrical and magnetical potentials Debaya on the ideal conductivity spherical segment and on the aperture. We use of the method of the separation variables in the spherical sys-tem coordinate. We solve auxiliary integral equations of Abel's type and select main parts of 4 functional equations by introducing two small parameters. As a result we obtain two disconnected linear algebraic systems of second kind with compact matrix operators of Fredholm's type. Some characteristics of the spherical antenna by improvement of analytical-computational method are discussed.

References

OCK, J.S.; EOM, H.J. Radiation of a hertzian dipole in a slotted conducting sphere. IEEE Trans. Antennas Propag., 2009, v.57, n.12, p.3847-3851, doi: http://dx.doi.org/10.1109/TAP.2009.2026065.

RADIN, A.M.; REZUNENKO, V.A.; SHESTOPALOV, V.P. Wave radiation by a sphere with a circular hole. USSR Comput. Math. Math. Phys., 1977, v.17, n.2, p.104-116, doi: http://dx.doi.org/10.1016/0041-5553(77)90040-4.

REZUNENKO, V.A. Scattering of the plane wave by the sphere with circular aperture. Electromagnetic Waves and Electronic Systems, 2005, v.10, n.8, p.5-15.

VJAZMITINOV, I.A.; REZUNENKO, V.A.; UDJANSKAJA, L.V.; SHESTOPALOV, V.P. Antennas characteristics of spherical reflector which is working at regime of Helmholtz resonance excitation. Proc. of Int. Sci.-Tech. Conf. on Contemporary Radiolocation, Kiev, 1994, p.72-76.

KUZMENKO, S.V.; REZUNENKO, V.A. On partial inversion of a diffraction problem operator of field of the grates of vertical magnetic dipoles on a coating ball. Visnik Kharkov National University. Mathematics, Applied Mathematics and Mechanics, 2000, v.475, n.49, p.241-249.

Published

2014-02-19