Acoustic scattering by permeable solids

The problem of scattering by an obstacle inR ₃, the index of refraction of which differs from the index of refraction of free space, is examined. The problem reduces to an integral equation in the region defined by the obstacle. A scheme is proposed for regularizing the derived integral equation which ensures convergence of the iteration procedure.Published in Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Institute im. V. A. Steklova AN SSSR, Vol. 195, pp. 113–137, 1991.