A Well Conditioned Integral Formulation for Maxwell Equations in Three Dimensions

This paper presents a new boundary integral equation dedicated to the solution of the perfect electrical conductor (PEC) problem of electromagnetism in unbounded domain. Our approach consists in establishing a new integral formulation of this scattering problem such that its discretization directly produces a well-conditioned linear system. To achieve this, the strategy for acoustics are applied to Maxwell equations, leading to equations which are always well-posed at any frequency and very well-conditioned