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Computer algebra systems applied to some electromagnetic problems

Les systèmes de calcul formel appliqués À quelques problèmes d’électromagnétisme

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Abstract

This paper deals with computer algebra systems and explains how these systems are likely to be extremely relevant in addressing electromagnetic problems. After a historical survey, it discusses the various off-the-shelf systems and their features. We suggest how given problems can be formalized and analysed using symbolic algebra systems. Several applied examples are given, with an important bibliography. We study the flat and conformai microstrip antennas : Green’s functions, solutions of the characteristic equations, and so on. We give many informations on the computer algebra systems on the Internet network.

Résumé

Cet article présente les systèmes de calcul formel et explique de quelle manière ils peuvent être d’un grand intérêt pour résoudre des problèmes électromagnétiques. Après avoir traité des aspects historiques, les différents systèmes disponibles sur le marché avec leurs caractéristiques sont présentés. Pour un problème donné, des indications pour le formaliser et organiser le logiciel symbolique sont données ainsi que de nombreux exemples d’application et une bibliographie importante relative au sujet. Le cas des antennes imprimées planes et conformées : fonctions de Green, solutions des équations caractéristiques, etc. est proposé ainsi que de nombreuses sources d’informations sur les systèmes de calcul formel, comme par exemple les serveurs accessibles par Internet.

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Authors and Affiliations

  1. Laboratoire d’Electronique, Antennes et Télécommunications, Université de Nice-Sophia Antipolis, cnrs, Bât.4, 250, rue Albert-Einstein, F-06560, Valbonne, France

    Jean-Pierre Damiano & Géraldine Ghio

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  1. Jean-Pierre Damiano
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  2. Géraldine Ghio
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Correspondence to Jean-Pierre Damiano.

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Damiano, JP., Ghio, G. Computer algebra systems applied to some electromagnetic problems. Ann. Télécommun. 52, 306–318 (1997). https://doi.org/10.1007/BF02996073

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