A solution for the transient field diffracted by an obtuse-angled dielectric wedge

A solution is proposed in the time domain framework for evaluating the field diffracted by an obtuse-angled penetrable wedge in the case of pulsed plane waves orthogonally impinging on the edge. It takes advantage of the knowledge of a uniform asymptotic solution based on a Physical Optics approximation for the surface currents involved in the radiation integral. The corresponding frequency domain diffraction coefficients are used to determine the time domain counterparts in closed form via the inverse Laplace transform. Numerical tests and comparisons with Finite Difference Time Domain results confirm the effectiveness of the solution.