  In this paper, we propose a variational formulation with the use of high
order impedance boundary condition (HOIBC) to solve the scattering problem. We
study the existence and uniqueness of the solution. Then, a discretization of
this formulation is done with Rao-Wilton-Glisson (RWG). We give validations of
the HOIBC obtained with a 3D MoM code that show the improvement in accuracy
over the standard impedance boundary condition (SIBC) computations.
