Title :
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
fDate :
7/3/1905 12:00:00 AM
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 kz 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;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2011.2152358