| Abstract: | In this paper we study the scattering of acoustic waves by an obstacle ??. We establish the following relation between the scattering kernel S(s, θ, ω) and the support function h?? of the obstacle: The right endpoint of the support of S(s, θ, ω) as function of s is h??(θ-ω); h?? is defined by  For Dirichlet boundary condition the result is proved in full generality, for Neumann condition only for backscattering, i.e., for θ = -ω. Since the convex hull of ?? can be recovered from knowledge of h??, the above result may be useful in reconstructing ?? from scattering data. |
