Numerical evaluation of the two-dimensional generalized exponential integral

Author

Gimersky, Martin ; Amari, Smain ; Bornemann, Jens

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

44

Issue

10

fYear

1996

fDate

10/1/1996 12:00:00 AM

Firstpage

1422

Lastpage

1425

Abstract

An exact technique for the evaluation of the two-dimensional generalized exponential integral-as required in structures involving rectangular planar radiators and transmission lines-is presented. It is shown that the singularity is integrable if integration is performed in polar coordinates. The integral can be calculated exactly and with minimal computational effort, even if integration over the origin of the coordinate system is required-regardless of whether the origin is an internal or boundary point of the integration region. Comparison with a standard technique proves the presented approach superior. Stability of the algorithm and convergence is discussed. Performance is demonstrated for the example of an asymmetrically edge-fed patch antenna

Keywords

antenna theory; convergence of numerical methods; integral equations; integration; microstrip antennas; numerical stability; asymmetrically edge-fed patch antenna; convergence; integration region; numerical evaluation; polar coordinates; rectangular planar radiators; singularity; stability; transmission lines; two-dimensional generalized exponential integral; Costs; Frequency; Integral equations; Moment methods; Performance evaluation; Shape; Wire;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.537338

Filename

537338