Abstract
An asymptotic solution in the format of the uniform geometrical theory of diffraction (UTD) for the field diffracted by an anisotropic impedance wedge has been presented, when the wedge is illuminated by an arbitrarily polarized plane wave impinging at very skew incidence on its edge. The surface impedance tensor principal anisotropy axes are along directions parallel and perpendicular to the edge. The solution is derived by resorting to the perturbation technique with respect to the oblique incident angle based on an exactly solved special case: grazing to the edge incidence. The numerical examples provide a uniform and continuous behaviour of the field with respect to the observation angle.