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Yayın The concept of confluence and the edge conditions for a wedge bounded by material sheets(IEEE, 2000) İdemen, Mehmet MithatThe 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.Yayın The confluent edge and tip singularities of the electromagnetic wave on material sheets(2004) İdemen, Mehmet MithatThe 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.
