22 January 2004
Prof Simon Chandler-Wilde
We consider the problem of recovering the position of a scattering surface from measurements of the scattered field on a finite line above the surface. A point source algorithm is proposed, based on earlier work by Potthast, which reconstructs, in the first instance, the scattered field in the whole region above the scattering surface. This information is used in a second stage to locate the scatterer. We summarise the theoretical results that can be obtained (error bounds on the reconstructed field as a function of the noise level in the original measurements). For the case of a point source of the incident field we present numerical experiments for both a steady source (time harmonic excitation) and a pulse source typical of an antenna in ground penetrating radar applications. \\ This is joint work with Claire Lines (Brunel University).
- Computational Mathematics and Applications Seminar