Diffraction by a wedge at skew incidence: integral representations of Cauchy–Carleman for the electromagnetic fields

An electromagnetic diffraction problem in a wedge shaped region is reduced to a system of coupled functional difference equations by means of Sommerfeld integrals and Malyuzhinets theorem. By introducing an integral operator it is shown that the solutions of this system of functional equations can be defined in terms of integral representations whose kernels are solutions of a singular integral equation of Cauchy–Carleman type for which an explicit solution is given.  2003 Elsevier Science (USA). All rights reserved.