Evaluation of Sommerfeld integrals using Chebyshev decomposition [antenna analysis]

Author

Annaert, Guido

Author_Institution

Dept. of Electr. Eng., Free Univ. of Brussels, Belgium

Volume

41

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

159

Lastpage

164

Abstract

Sommerfeld integrals ensue when one uses a spectral-domain transformation to calculate fields of a dipole source in a homogeneous space or in a layered medium with planar boundaries. A new and efficient method of evaluating these integrals is presented. This method still converge in the case of unbounded homogeneous media or when source and observer are both on the boundary itself, as in microstrip lines. The integration is based on decomposition of the integrand into Chebyshev polynomials. Numerical results are given and compared with published literature

Keywords

Chebyshev approximation; antenna theory; convergence of numerical methods; dipole antennas; integration; polynomials; spectral-domain analysis; Chebyshev decomposition; Chebyshev polynomials; Sommerfeld integrals; antenna theory; convergence; dipole source; homogeneous space; layered medium; planar boundaries; spectral-domain transformation; unbounded homogeneous media; Acceleration; Approximation algorithms; Chebyshev approximation; Dipole antennas; Helium; Integral equations; Microstrip; Polynomials; Taylor series; Wire;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.214606

Filename

214606