Pulsed beam diffraction by a perfectly conducting wedge: exact solution

The new canonical problem of scattering of a collimated pulsed beam (PB) by a perfectly conducting wedge is analyzed and solved exactly. The incident PB is modeled by the so called complex-source PB (CSPB). The authors derive an exact closed-form solution for the scattered field and demonstrate, via extensive numerical examples, the local scattering phenomena as a function of the PB parameters (direction, distance from the edge, spatial collimation, and pulse length): if the PB hits near the edge it generates a toroidal diffracted wavepacket that propagates along Keller´s cone as well as transitional shadow boundaries effects. These diffraction phenomena diminish as the distance of the impinging wavepacket from the edge grows