ABSTRACT
Let an axially symmetric obstacle bounded by the surface S be spherically irradiated by a high›frequency acoustic wave; the propagation time of the reected pulse t(q) and the real amplitude of the reected wave |A(q)| are known for any direction q. We denote the convex parts of the surface S by Sex and the nonconvex parts by Sin. We restrict our consideration to an obstacle with a simply connected surface S allowing no more than two points of single mirror reection at any direction of irradiation in the echo mode. It is shown in Druzhinina and Sumbatyan (1992) that this condition is necessarily satised if the angle between the normals erected to the surface S at any two of its points within one nonconvex region is acute. All these facts will be used in the forthcoming study, but here let us restrict the consideration by axially symmetric convex obstacles.
