Closed-form Green's functions for general sources and stratified media
Date
1995-07Source Title
IEEE Transactions on Microwave Theory and Techniques
Print ISSN
0018-9480
Electronic ISSN
1557-9670
Publisher
Institute of Electrical and Electronics Engineers
Volume
43
Issue
7
Pages
1545 - 1552
Language
English
Type
ArticleItem Usage Stats
231
views
views
352
downloads
downloads
Abstract
The closed-form Green's functions of the vector and scalar potentials in the spatial domain are presented for the sources of horizontal electric, magnetic, and vertical electric, magnetic dipoles embedded in general, multilayer, planar media. First, the spectral domain Green's functions in an arbitrary layer are derived analytically from the Green's functions in the source layer by using a recursive algorithm. Then, the spatial domain Green's functions are obtained by adding the contributions of the direct terms, surface waves, and complex images approximated by the Generalized Pencil of Functions Method (GPOF). In the derivations, the main emphasis is to put these closed-form representations in a suitable form for the solution of the mixed potential integral equation (MPIE) by the method of moments in a general three-dimensional geometry. The contributions of this paper are: 1) providing the complete set of closed-form Green's functions in spectral and spatial domains for general stratified media; 2) using the GPOF method, which is more robust and less noise sensitive, in the derivation of the closed-form spatial domain Green's functions; and 3) casting the closed-form Green's functions in a form to provide efficient applications of the method of moments.
Keywords
Green's function methodsMagnetic domains
Moment methods
Magnetic multilayers
Magnetic analysis
Algorithm design and analysis
Surface waves
Integral equations
Geometry
Nonhomogeneous media