Diverging and converging beam diffraction by wedges and cones

Abstract

The complex source (CS) approach has long been used to obtain exact and approximate solutions for problems of beam-waves diffraction. However, the straightforward CS formulation may be applied only when the incident beam is diverging as it hits the scatterer, but not when it is converging. The present paper extends the CS method in the context of beam diffraction by wedges and cones, and present somewhat surprising rules for modifying the CS model so that it can addresses both the diverging incident beam (DIB) and the converging incident beam (CIB) cases. Using these models we demonstrate the different phenomenologies associated with each case.