Abstract: | A rigorous method is developed for transforming a boundary-value problem of electrodynamics in a domain with an uneven boundary to an equivalent problem in a domain with a boundary of a new form. The resulting problem is reduced to an integral boundary equation. This equation is solved by expansion into a series in powers of a small parameter, which is determined by the height of the irregularities in the case of a rough boundary. Impedance corrections for roughness-both determinate and randomare found for an underlying surface of arbitrary form in an inhomogeneous medium.Kharkov State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 36, No. 3-–, pp. 240–257, March–April, 1993. |