Semi-analytical approach for electromagnetic field diffusion using hertz potential

(Paper written in French) This paper contains two parts: In the first part the Hertz vectorial potential is introduced and its possible use in solving electromagnetic diffusion problems common in electrical engineering is considered. Links between this potential and other commonly used potentials are established, and a formulation procedure using three vectorial equations is proposed. This approach has several advantages due to its simplicity and the fact that it requires only a few values for computation. This method is next applied efficiently to the interaction in the static regime between a line conductor crossed by a sine-shaped current and a finite-thickness metallic plate. In the second part, a specific field quadrature method is employed in integral form. This allows the confirmation of the methods accuracy and good numerical stability.