De nouvelles équations intégrales pour l'étude de la radiation électromagnétique dans les enceintes

Abstract

For stationary solutions of Maxwell's equations in the interior of a closed surface, we derive two new vectorial integral equations. They consist of integrals over the surface that the values of the fields on the surface must satisfy. These integral equations have two advantages over integral equations with singular kernels obtained by taking the limiting form of the equations of Stratton and Chu as the point of observation approaches the surface. In our integral equations the kernel is regular, and the point of observation may be taken anywhere inside, outside, or on the surface. The new method of solution of Maxwell's equations for boundary value problems independent of the time which we propose, is analogous to that which we proposed previously for the boundary value problem of Helmholtz's equation.