Numerical Computation of Electromagnetic Far-field from Near-Field using Integral Equation based on Clifford Algebra

In this paper, it is proposed to compute the full far-field from the full near-field data by using integral equation based on Clifford algebras. This method can be used to solve directly the Maxwell´s equation based on Clifford algebras (Dirac equation) since the key tool is the fundamental solution of them. The formulation of this method is structured in the form Clifford arithmetic and the results appear in the form of Clifford numbers. However, the results are decoded into the electric and magnetic fields in order to compare directly with known analytical results.