A hybrid procedure to solve Hallen´s problem

Author

Miano, G. ; Verolino, L. ; Vaccaro, V.G.

Author_Institution

Dipartimento di Ingegneria Elettrica, Naples Univ., Italy

Volume

38

Issue

3

fYear

1996

fDate

8/1/1996 12:00:00 AM

Firstpage

495

Lastpage

498

Abstract

The knowledge of the electromagnetic fields in the neighborhood of an antenna needs the accurate evaluation of the current distribution on it. This is a subject which deserves particular attention mainly for sensors. It is called Hallen´s problem and is relevant to the current distribution on a cylindrical antenna, two hollow cylinders separated by an infinitesimal gap. In this paper, we show that it is possible to extract the singular part of the current, and to obtain a reasonable precision with a finite number of terms regardless of the distance from the gap. The method seems to be suitable for thick dipole antennas. The procedure has been defined hybrid because we first resort to a finite number of steps of the iterative solution, and then the nth integral equation is solved by the Bubnov-Galerkin projection method

Keywords

Fredholm integral equations; antenna radiation patterns; current distribution; dipole antennas; electromagnetic fields; iterative methods; Bubnov-Galerkin projection method; Hallen´s problem; current distribution; cylindrical antenna; electromagnetic fields; hollow cylinders; hybrid procedure; infinitesimal gap; iterative solution; nth integral equation; sensors; singular part; thick dipole antennas; Antenna accessories; Boundary conditions; Current distribution; Electromagnetic fields; FCC; Geometry; Impedance; Integral equations; Kernel; Voltage;

fLanguage

English

Journal_Title

Electromagnetic Compatibility, IEEE Transactions on

Publisher

ieee

ISSN

0018-9375

Type

jour

DOI

10.1109/15.536081

Filename

536081