Derivation of N-Müller equations using Calderón identities

Muller equations are well known for solving scattering problems by dielectric objects. However, they are not widely used because the solution is unstable when Galerkin´s method is applied. In this paper, the Calderon relation and the Calderon identities are used to derive the N-Muller equations from the electric field integral equation (EFIE) and magnetic field integral equation (MFIE) for scattering by a dielectric object, and the nx Buffa-Christiansen (BC) functions are used to test the N-Muller equations to avoid the appearance of the contour integral.