General analytical solutions of static Green´s functions for shielded and open arbitrarily multilayered media

Author

Li, Keren ; Atsuki, Kazuhiko ; Hasegawa, Tsuyoshi

Author_Institution

Dept. of Electron. Eng., Univ. of Electro-Commun., Tokyo, Japan

Volume

45

Issue

1

fYear

1997

fDate

1/1/1997 12:00:00 AM

Firstpage

2

Lastpage

8

Abstract

In this paper, we present for the first time general analytical solutions of the static Green´s functions for shielded and open arbitrarily multilayered media. The analytical formulas for the static Green´s functions, which are expressed in the form of the Fourier series or the Fourier integrals, have simple form and are applicable to arbitrary number of the dielectric layers. The derivation of the formulas is primarily based on a technique by which a recurrence relation between L layers and L+1 layers is developed. Green´s functions for a three-layered dielectric structure are given as an example of the general formulas. These general analytical solutions will provide a new and efficient tool to the analysis of the multilayered medium structures

Keywords

Fourier series; Green´s function methods; integral equations; microwave circuits; waveguide theory; Fourier integrals; Fourier series; dielectric layers; open multilayered media; recurrence relation; shielded multilayered media; static Green´s functions; three-layered dielectric structure; Boundary conditions; Boundary element methods; Conductors; Dielectrics; Fourier series; Integral equations; MMICs; Microwave integrated circuits; Transmission line theory; Two dimensional displays;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.552025

Filename

552025