New vector Green theorem using dyadic operator

A vector-Green-Theorem extended form of the scalar Green theorem is introduced and is compared with the revised Stratton vector Green theorem. The potential translation of the vector Poisson equation in a multimedium magnetostatic field is discussed. It is shown that the integral form of A given by the new vector Green Formula can be connected with the boundary value problem of the vector Poisson equation, but the integral form obtained by the revised Stratton formula cannot.>