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Matched asymptotic expansions for the determination of the electromagnetic field near the edge of a patch antenna
Author(s) -
Bendali Abderrahmane,
Makhlouf Abdelkader,
Tordeux Sébastien
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700910
Subject(s) - ground plane , patch antenna , antenna (radio) , gravitational singularity , electromagnetic field , enhanced data rates for gsm evolution , asymptotic expansion , computation , plane (geometry) , dielectric , mathematical analysis , field (mathematics) , asymptotic analysis , near and far field , mathematics , geometry , physics , optics , telecommunications , computer science , optoelectronics , pure mathematics , algorithm , quantum mechanics
We consider a simple but representative model incorporating the main behavior of the electromagnetic field near the edge of a patch antenna. Recall that this kind of antenna is obtained by a metal patch laying on a dielectric substrate covering a ground metallic plane. The functioning principle of such an electric device is based on the matching of an N‐dimensional behavior of the field outside the antenna with an (N‐1)‐dimensional one inside the zone limited by the patch and the ground plane, N = 3 or 2 according to the considered model. In this study, we make use of the technique of matched asymptotic expansions and computation of singularities to describe this behavior for the two‐dimensional case. Proved error estimates enable us to give a rigorous background to the underlying asymptotic analysis. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)