Diffraction of a pulsed electromagnetic plane wave by a right-angled dielectric wedge

This work deals with closed form time-domain solutions for the scalar field diffracted by a right-angled dielectric wedge. The approach exploits the knowledge of the frequency-domain expressions for the considered problem, and uses the inverse Laplace transform for obtaining the time-domain diffraction coefficients. These last are involved in the convolution integral expressing the transient diffracted field originated by a pulsed plane wave. The accuracy of the proposed solutions is confirmed by comparisons with data provided by a reliable numerical code based on the Finite Difference Time Domain technique. Although some solutions exist in the frequency domain for the diffraction by dielectric wedges, at the best authors´ knowledge, no analytical time domain solutions are available to date.