Quaternionic fundamental solutions for the numerical analysis of   electromagnetic scattering problems
  We propose a new class of fundamental solutions for the numerical analysis of boundary value problems for the Maxwell equations. We prove completeness of systems of such fundamental solutions in appropriate Sobolev spaces on a smooth boundary and support the relevancy of our approach by numerical results. 
Kira V. Khmelnytskaya, Vladislav V. Kravchenko and Vladimir S.   Rabinovich