New closed-form Green's functions for microstrip structures - Theory and results

Yuehe Ge*, Karu P. Esselle

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)
67 Downloads (Pure)


This paper presents an efficient technique to evaluate the Green's functions of single-layer and multilayer structures. Using the generalized pencil of function method, a Green's function in the spectral domain is accurately approximated by a short series of exponentials, which represent images in spatial domain. New compact closed-form spatial-domain Green's functions are found from these images using several semi-infinite integrals of Bessel functions. With the numerical integration of the Sommerfeld integrals avoided, this method has the advantages of speed and simplicity over numerical techniques, and it leads to closed-form expressions for the method-of-moments matrix coefficients. Numerical examples are given and compared with those from numerical integration.

Original languageEnglish
Pages (from-to)1556-1560
Number of pages5
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number6
Publication statusPublished - Jun 2002

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Copyright 2002 IEEE. Reprinted from IEEE transactions on microwave theory and techniques. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to By choosing to view this document, you agree to all provisions of the copyright laws protecting it.


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