Integral equation for low frequency scattering problem of perfect electric conductors in quasi-static regime

In this paper we present a low frequency integral formulation for the scattering of perfect electric conducting objects. The formulation is a first order approximation for low frequency and is based on the fact that the vector and scalar potentials are decoupled at zero frequency. In this regime we find suitable boundary conditions for the vector potential and for the scalar potential. We test the accuracy of this approximation at low frequency. The geometry under test is the sphere and the exact reference solution used is the Mie series.