Abstract
It is shown that the integral of the scalar product of the current density with the electric field dyadic Green's function can be carried out without difficulty by allowing the observation point to be an arbitrarily located point within a small spherical volume and using an appropriate representation for the Green's dyadic function obtained from the eigenfunction expansion. On the basis of this result it is established that the integral operator using the Green's dyadic function is the correct inverse operator for the vector wave equation provided the integration is taken over the whole volume (the support of the current density).
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