Justification of the cavity model in the numerical simulation of patch antennas by the method of matched asymptotic expansions - Archive ouverte HAL Access content directly
Journal Articles Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Year : 2010

Justification of the cavity model in the numerical simulation of patch antennas by the method of matched asymptotic expansions

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Abstract

The cavity model is a widespread empirical approach for the numerical simulation of patch antennas. An attempt to give a rigorous mathematical background for this way to proceed is presented. The justification is carried out in the framework of a two-dimensional representation of the underlying radiation problem. It is obtained by a suitable application of the method of matched asymptotic expansions. Furthermore, it is shown how to improve the cavity model by pushing the asymptotic expansion to the next order. A remarkable outcome of the asymptotic expansions is that they clearly confirm that the way to feed the antenna only determines the level of its radiation pattern but not its shape. Some numerical experiments are given to illustrate the theoretical developments.
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Dates and versions

hal-00644409 , version 1 (13-12-2019)

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Abderrahmane Bendali, Abdelkader Makhlouf, Sébastien Tordeux. Justification of the cavity model in the numerical simulation of patch antennas by the method of matched asymptotic expansions. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2010, 8 (5), pp.1902--1922. ⟨10.1137/090771041⟩. ⟨hal-00644409⟩
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