Location identification and shape reconstruction of an impenetrable body by matching the measurements of scattered sound to a canonical body field representation.

摘要

The location (identification) and determination of the shape of a generally non spherical impenetrable body submitted to a plane sonic wave are performed. Analytic solutions of scattering of a plane wave by a particular centered sphere are used to compute an approximation of the diffracted field by the real body during the inversion. The inverse problem reduces to finding, in each scattering direction, the radius of this particular sphere and to associate the latter with the local radius of the unknown body (in the aformentioned scattering direction). Numerical examples of the inversion scheme are given for effipsoids and finite cylinders.