NDLI: “Relay race” closed-form expressions of Green's functions for planar layered media

Content Provider	IEEE Xplore Digital Library
Author	Boix, R.R. Fructos, A.L. Mesa, F.
Copyright Year	2010
Description	Author affiliation: Microwaves Group, Department of Applied Physics 1, University of Seville, Spain (Mesa, F.) \|\| Microwaves Group, Dept. of Electronics and Electromagnetism, University of Seville, Spain (Boix, R.R.; Fructos, A.L.)
Abstract	The application of the method of moments (MoM) to the solution of mixed potential integral equations (MPIE) has proven to be an efficient numerical tool for the analysis of planar circuits and antennas [1]. In order to solve the MPIE arising from the analysis of planar structures, it is necessary to calculate the spatial domain Green's functions (GF) for the scalar and vector potentials in multilayered media. These GF can be determined via numerical computation of infinite integrals that are commonly known as Sommerfeld integrals (SI). However, the highly-oscillatory nature of the integrands involved makes the numerical computation of SI cumbersome and time consuming. Among the many different methods that have been proposed for speeding up the evaluation of SI, the most efficient ones are the discrete complex image method (DCIM) [2] and the rational function fitting method (RFFM) [3]. These two methods lead to closed-form expressions of the GF that consist of either spherical waves (DCIM) or cylindrical waves (RFFM). Unfortunately, both the DCIM and the RFFM lead to problems in the computation of multilayered GF for certain ranges of distances between the source and observation points. On the one hand, the DCIM is reliable in the near field, but it fails to provide accurate results when the distance between source and observation points goes beyond a few wavelengths [4]. On the other hand, the RFFM is reliable in the far field when this far field is dominated by surface waves. However, the RFFM encounters difficulties in the approximation of the near field of the spatial domain GF [5], especially at low frequencies. Also, the standard RFFM fails to reproduce the far field of the spatial domain GF when this far field is dominated by residual waves [6]. This happens because residual waves are related to the branch point of the spectral GF at kϱ = k0, and this branch point is not explicitly included in the spectral domain approximation of the standard RFFM.
Starting Page	1
Ending Page	4
File Size	193634
Page Count	4
File Format	PDF
ISBN	9781424449675
ISSN	15223965
DOI	10.1109/APS.2010.5561844
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-11
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Tin Least squares approximation Silicon Closed-form solution Surface waves Spectral analysis
Content Type	Text
Resource Type	Article

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