On the integral representation of electromagnetic field vectors

Integral representations of the electromagnetic field vectors are derived by the systematic use of a free-space Green´s function and file appropriate Green´s theorem. The resulting integrals are in terms of the tangential components of the field vectors at the boundary surface. These representations satisfy Maxwell´s equations even for open surfaces, thus additional Kottler´s boundary-line charges are not required. Several alternative representations are derived and related to previously known formulas. Some of the computational aspects of these alternatives are pointed out.