The confluent edge and tip singularities of the electromagnetic wave on material sheets

Abstract

The singularities of the electromagnetic wave at sharp edges and tips effect the performance of electric devices and, hence, requires serious precautions at both the design and production stages. Furthermore, in theoretical investigations they cause to some hard mathematical difficulties. Their knowledge in analytical investigations permits one to determine some auxiliary functions while in numerical works they enable one to improve the convergence of some procedures if the singularities are incorporated into the field expressions explicitly. Therefore, one has to know the types as well as the orders of possible singularities for various situations. This work is devoted to the investigation of these singularities in their most general framework.