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Quelques singularités des sources et champs électromagnétiques

Some singularities of electromagnetic sources and fields

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On montre d’abord comment les sources très concentrées peuvent être représentées à l’aide de fonctions de Dirac et de leurs dérivées. Le développement multipolaire est examiné jusqu’aux termes quadrupolaires. On analyse ensuite les singularités de la dyade de Green, et leur répercussion sur les processus numériques. On examine enfin la façon dont les champs deviennent infinis au voisinage d’arêtes de dièdres et de sommets de cônes circulaires.

Abstract

This paper first shows how concentrated sources can be represented in terms of Dirac functions and derivatives. The multipole expansion is carried out to terms of quadrupole order. The author subsequently analyzes the singularities of the Green’s dyadic, and their consequences for numerical procedures. He finally examines the manner in which fields become infinite in the vicinity of edges and tips of circular cones.

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Authors and Affiliations

  1. Laboratorium voor elektromagnetisme en acustica, St.-Pietersnieuwstraat 41, B-9000, Gent, Belgium

    Jean Van Bladel

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  1. Jean Van Bladel
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Van Bladel, J. Quelques singularités des sources et champs électromagnétiques. Ann. Télécommun. 38, 115–122 (1983). https://doi.org/10.1007/BF02995896

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  • DOI: https://doi.org/10.1007/BF02995896

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