The eigenvector-expansion method is applied to obtain the electromagnetic fields in a closed region of space in terms of volume integrals over the sources and surface integral of the tangential electric field over the boundary. The field expressions are written in a convenient dyadic form, and thus the appropriate electric and magnetic dyadic Green's functions in an infinite triple-series form are extracted. Finally, the general formulas for the Green's dyadics are specialized for the case of a circular cylindrical cavity for which the series is reduced to a double summation. This reduction reveals the discontinuous nature of the fields in the source region.La mtthode de dheloppement en vecteurs propres est appliqute au calcul des champs tlectromagnttiques dans une rtgion fermte de I'espace en termes d'inttgrales de volume sur les sources et d'une inttgrale de surface de la cornposante tangentielle du champ tlectrique sur la frontiere. Les expressions des champs sont tcrites sous une forme dyadique commode, et on peut obtenir les fonctions de Green dyadiques tlectriques et magnttiques approprites sous forme de triples stries infinies. Finalement, les formules gtntrales donnant les dyadiques de Green sont particularistes pour le cas d'une cavitt cylinarique circulaire, pour lequel la strie se rtduit a une double sornmation. Cette rtduction rtvele la nature discontinue du champ dans la rtgion des sources.[Traduit par la revue]Can. J. Phys. 66, 249 (1988)
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.