Uniqueness of the solution to inverse obstacle scattering problem

摘要

It is proved that the scattering amplitude known at a fixed frequency, a fixed direction of the incident plane wave and all directions of the scattered wave in a solid angle, however small, determine uniquely the shape of a strictly convex obstacle with a smooth but not analytic boundary on which the Dirichlet boundary condition is assumed. (c) 2005 Elsevier B.V. All rights reserved.