Diffraction at skew incidence by an anisotropic impedance wedge in electromagnetism theory: a new class of canonical cases

An original mathematical approach for the diffraction of an electromagnetic skew-incident wave by a wedge allows us to reduce such a problem to new elementary functional equations. Using this method, we present an exact analytical solution with closed form expressions for a class of wedge of any angle with a certain type of anisotropic boundary condition which does not require any field component to vanish on the faces. We thereby consider the important case where the principal axes of anisotropy are along and normal to the edge, the relative impedance matrix attached to each face being diagonal with its determinant equal to unity.