A new algorithm for the complex exponential integral in the method of moments

Author

Kluskens, Michael S.

Author_Institution

Naval Res. Lab., Washington, DC, USA

Volume

47

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

803

Lastpage

806

Abstract

This paper presents a new algorithm for the rapid and accurate calculation of the complex exponential integral associated with the mutual impedance of sinusoidal basis and testing functions in the method of moments. The new algorithm uses Leibniz´s theorem to calculate Taylor series expansions of the integral instead of integrating expansions of the integrand as is often done. This results in an algorithm which is twice as fast as and is valid over a wider range than previous algorithms. This technique can be applied to many other integrals encountered in computational electromagnetics as well

Keywords

electric impedance; electromagnetism; integral equations; method of moments; series (mathematics); Leibniz´s theorem; Taylor series expansions; algorithm; complex exponential integral; computational electromagnetics; method of moments; mutual impedance; sinusoidal basis functions; sinusoidal testing functions; Arithmetic; Computational electromagnetics; Convergence; Gaussian approximation; Government; Impedance; Integral equations; Moment methods; Taylor series; Testing;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.774133

Filename

774133