A Novel Implementation of Discrete Complex Image Method for Layered Medium Green´s Function

Author

Chen, Yongpin P. ; Chew, Weng Cho ; Jiang, Lijun

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Hong Kong, Hong Kong, China

Volume

10

fYear

2011

fDate

7/3/1905 12:00:00 AM

Firstpage

419

Lastpage

422

Abstract

A novel implementation of discrete complex image method (DCIM) based on the Sommmerfeld branch cut is pro posed to accurately capture the far-field behavior of the layered medium Green´s function as a complement to the traditional DCIM. By contour deformation, the Green´s function can be naturally decomposed into branch-cut integration (radiation modes) and pole contributions (guided modes). For branch-cut integration, matrix pencil method is applied, and the alternative Sommerfeld identity in terms of k_z integration is utilized to get a closed-form solution. The guided modes are accounted for with a pole-searching algorithm. Both one-branch-cut and two-branch-cut cases are studied. Several numerical results are presented to validate this method.

Keywords

Green´s function methods; image processing; matrix algebra; Sommmerfeld branch cut; branch-cut integration; contour deformation; discrete complex image method; layered medium Green´s function; matrix pencil method; pole contribution; pole-searching algorithm; Function approximation; Green´s function methods; Kernel; Microstrip; Nonhomogeneous media; Robustness; Transmission line matrix methods; Branch cut; Green´s function; discrete complex image method (DCIM); layered medium; pole;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2011.2152358

Filename

5765649