On the problem of coastal refraction in an impedance waveguide

The problem of wave propagation in an irregular plane impedance waveguide is considered. This problem is similar to the classical coastal refraction problem with arbitrary geometry of the coastline. The two-dimensional integral equation is converted asymptotically in the large parameter kr1 to a one-dimensional equation, which contains, besides the conventional terms, a curvilinear integral taken along the interface (coastline). A convenient formula is obtained for the case of a straight coastline. The results of numerical calculations are presented.State University, St. Petersburg. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, No. 11, pp. 1168–1176, November, 1995.