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Analysis of the radiation properties of a planar antenna on a photonic crystal substrate

✍ Scribed by Habib Ammari; Natacha Béreux; Eric Bonnetier

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
228 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper is concerned with the rigorous investigation of the radiation properties of a planar patch antenna on a photonic crystal substrate. Under the assumptions that the driving frequency of the antenna lies within the band gap of the photonic crystal substrate and that the crystal satisfies a symmetry condition, we prove that the power radiated into the substrate decays exponentially. To do this, we reduce the radiation problem to the study of the well‐posedness of a weakly singular integral equation on the patch antenna, and to the study of the asymptotic behaviour of the corresponding Green's function. We also provide a mathematical justification of the use of a photonic crystal substrate as a perfect mirror at any incidence angle. Copyright © 2001 John Wiley & Sons, Ltd.

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