Error analysis of the discrete complex image method and pole extraction

Author

Teo, Swee-Ann ; Chew, Siou-Teck ; Leong, Mook-Seng

Author_Institution

Marvell Inc., Sunnyvale, CA, USA

Volume

51

Issue

2

fYear

2003

Firstpage

406

Lastpage

413

Abstract

Recently, Teo et al (IEEE AP-S Int. Symp., vol. 4, pp. 862-864, 2001) proposed a discrete complex image method that is able to represent both the near and far fields of the Green´s function accurately, using only a single approximate Green´s function. In this paper, an error analysis of this method is presented. The error analysis shows an additional term, which represents the quasi-static image of the surface-wave poles plays a crucial role in the convergence and accuracy of this new method. As the extraction of poles is required, a recently proposed algorithm by Teo et al (IEEE Trans. Microwave Theory Tech., vol. 50, pp. 440-445, 2002) is also discussed and compared with existing methods in terms of computational speed.

Keywords

Green´s function methods; convergence of numerical methods; electromagnetic field theory; electromagnetic wave propagation; electromagnetic wave scattering; error analysis; inhomogeneous media; microwave materials; poles and zeros; surface electromagnetic waves; transforms; DCIM; Green´s function far fields; Green´s function near fields; Sommerfeld transform; computational speed; convergence; discrete complex image method; error analysis; planar layered media; pole extraction; quasi-static image term; single approximate Green´s function; spatial-domain; spectral-domain; surface-wave poles; Convergence; Discrete transforms; Error analysis; Helium; Image analysis; Image converters; Laboratories; Microstrip components; Nonhomogeneous media; Robustness;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2002.807834

Filename

1179406