The concept of confluence and the edge conditions for a wedge bounded by material sheets

Abstract

The edge conditions which dictate the asymptotic behaviour of the electromagnetic field near the edges play a crucial role in solving boundary-value problems involving boundaries having edges. In analytical studies they permit one to determine some unknown functions while in numerical investigations they enable one to improve the convergence of some processes by introducing beforehand the edge singularities into the field functions. This work is devoted to the analysis of wedge configurations bounded by material sheets having different constitutive parameters. From mathematical point of view, the problem can be reduced to 9 canonical types. These canonical types are investigated in full detail by introducing the confluence concept which permits one to reveal also the logarithmic singularities, if any.