Converging beam diffraction by a wedge

In previous publications, the problem of 2D beam diffraction by a wedge has been solved via the complex source (CS) approach. However, the straightforward CS formulation may be applied only when the incident beam is diverging as it hits the edge, but not when it is converging. In the present paper, we present a novel solution for the diffraction of a converging beam. In that approach, we use the CS approach to construct the plane wave spectrum of the field of the incident converging beam, and then calculate the diffracted field using a multipole expansion. The overall goal of this research is the derivation of techniques for the analysis of 3D beam diffraction by a cone.