Derivation of Closed-Form Green’s Functions for a General Microstrip Geometry
Date
1992Source Title
IEEE Transactions on Microwave Theory and Techniques
Print ISSN
189480
Volume
40
Issue
11
Pages
2055 - 2062
Language
English
Type
ArticleItem Usage Stats
214
views
views
329
downloads
downloads
Abstract
The derivation of the closed-form spatial domain Green’s functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and a super-state, whose thicknesses can be arbitrary. The spatial domain Green’s functions for printed circuits are typically expressed as Sommerfeld integrals, that are inverse Hankel transform of the corresponding spectral domain Green’s functions, and are quite time-consuming to evaluate. Closed-form representations of these Green’s functions in the spatial domains can only be obtained if the integrands are approximated by a linear combination of functions that are analytically integrable. In this paper, we show we can accomplish this by approximating the spectral domain Green’s functions in terms of complex exponentials by using the least square Prony’s method. © 1992 IEEE
Keywords
Boundary value problemsIntegral equations
Mathematical transformations
Printed circuits
Spectrum analysis
Closed-form Green's functions
Hankel transforms
Sommerfeld integrals
Microstrip devices