Abstract
A new class of problems of electromagnetic diffraction associated with the generalized impedance boundary condition (GIBC) is investigated. Methods for obtaining the GIBC and the conditions of its applicability for an arbitrary cylindrical surface are described. The simulation of defects in electromagnetic coatings is studied. A class of problems that can be solved exactly by factorization is isolated. Models of point defects in coatings are constructed and the limits of their applicability are established.
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