Recently a lot of attention has been devoted to the electromagnetic scattering from anisotropic impedance wedges. Specifically, rigorous spectral solutions for three-dimensional scattering from anisotropic impedance wedges with a PEC face have been presented, when the impedance tensor of the loaded face exhibits a vanishing surface impedance along an anisotropy axis and a finite value in the orthogonal direction. However, these solutions are valid only when the direction of vanishing impedance is either parallel or perpendicular to the edge. A new rigorous spectral solution is presented in this paper, which is valid when the vanishing impedance direction is arbitrarily oriented with respect to the diffracting edge. The solution applies to both the half-plane and the planar-junction configurations. It is worth noting that the anisotropic impedance model is also suitable to simulate corrugated surfaces or strip loaded grounded dielectric slabs
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