An exact solution of the generalized exponential integral and its application to moment method formulations

Author

Werner, Douglas H. ; Werner, D.H. ; Huffman, J.A. ; Ferraro, A.J. ; Breakal, J.K.

Author_Institution

Appl. Res. Lab., Pennsylvania State Univ., State College, PA, USA

Volume

41

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

1716

Lastpage

1719

Abstract

The generalized exponential integral is one of the most fundamental integrals in antenna theory and for many years exact solutions to this integral have been sought. This paper considers an exact solution to the generalized exponential integral which is completely general and independent of the usual restrictions involving the wavelength, field point distance and dipole length is considered. The exact series representation presented converges rapidly in the induction and near-field regions of the antenna, and therefore provides an alternative to numerical integration. Two method of moments formulations are considered. They use the exact expression for the generalized exponential integral in the computation of the impedance matrix elements. It is demonstrated that, for very thin straight-wire antennas, an asymptotic expansion can be used to obtain a numerically convenient form of the generalized exponential integral

Keywords

antenna theory; electric impedance; numerical analysis; antenna theory; asymptotic expansion; convergence; exact series representation; exact solution; generalized exponential integral; impedance matrix elements; induction region; moment method formulation; near-field region; very thin straight-wire antennas; Antenna theory; Antennas and propagation; Current distribution; Geometry; Kernel; Laboratories; Moment methods; Propagation constant; Receiving antennas; Security;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.273316

Filename

273316