Extension of Maliuzhinets´ solution to arbitrary permittivity and permeability of coatings on a perfectly conducting wedge

The scattering of a plane wave is considered at normal incidence on a perfectly conducting wedge whose faces are coated by uniform electrically thin layers of arbitrary permittivity and permeability. Although the face impedances are inhomogeneous in the plane wave spectral representation and are differential operators in the co-ordinate representation, an exact analytical solution for the field is developed by analogy with Maliuzhinets´ solution for a wedge with constant face impedances