Astigmatic Gaussian Beam Scattering by a PEC Wedge

We are concerned with the scattering of a 3-D time harmonic astigmatic Gaussian beam from a perfectly electric conducting wedge. The incident wave object serves as the wave propagator of the phase-space beam summation method, which is a general framework for analyzing propagation of scalar and electromagnetic fields from extended sources. We perform asymptotic analysis for the total field including fields in the transition regions identifying the corresponding wave phenomena such as reflected beams and diffraction beams.