UAPO solution for the field diffracted by a metamaterial layer with PEC backing

This work deals with a uniform asymptotic solution for solving the diffraction problem arising from a plane wave impinging on a truncated double-negative metamaterial layer with a perfect electric conductor backing. The field diffracted by the edge of the structure is obtained by using a Physical Optics approximation of the electric and magnetic surface currents in the radiation integral and by performing a uniform asymptotic evaluation of this last. The resulting expression contains the Geometrical Optics response of the structure and the transition function of the Uniform Theory of Diffraction. The accuracy of the proposed solution is well assessed by comparisons with a commercial tool based on the Finite Element Method.