An exact method for integration of the cylindrical wire kernel

Author

Werner, D.H. ; Werner, P.L. ; Huffman, J.A.

Author_Institution

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

Volume

2

fYear

1994

fDate

20-24 June 1994

Firstpage

1177

Abstract

The cylindrical wire kernel possesses a singularity which must be properly treated in order to evaluate the uniform current vector potential. Traditionally, the singular part of the kernel is extracted resulting in a slowly varying function which is convenient for numerical integration. This paper introduces a highly convergent exact series representation of the remaining singular integral which is valid except in the immediate vicinity of the singularity. This new exact expression, when used in conjunction with an existing exact expression which is valid for /spl rho/=a and z=0, provides an extremely accurate as well as efficient means for evaluating this integral.<>

Keywords

convergence of numerical methods; electric current; electric potential; integration; series (mathematics); convergent exact series representation; cylindrical wire kernel; exact integration method; numerical integration; singular integral; slowly varying function; uniform current vector potential; Educational institutions; Kernel; Laboratories; Wire;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1994. AP-S. Digest

Conference_Location

Seattle, WA, USA

Print_ISBN

0-7803-2009-3

Type

conf

DOI

10.1109/APS.1994.407880

Filename

407880