22 January 2004

14:00

Prof Simon Chandler-Wilde

Abstract

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.
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This is joint work with Claire Lines (Brunel University).