UNAMBIGUOUS RECONSTRUCTION OF THE 2D BOUNDARY OF A HALF-SPACE PROBED BY ACOUSTIC WAVES
This research was supported in part by the National Science Foundation through Grant Int-9726213 and the Centre National De La Recherche Scientifique through grant NSF/CNRS-5932.
It is shown that the use of: 1) the physical optics approximation (POA) to simulate the response (i.e., predictor), on a line above the open cylindrical boundary in its cross-section plane, to two probe plane waves of different frequencies, 2) the intersecting canonical boundary approximation (ICBA) of the wave-boundary interaction for a trial boundary (i.e., estimator), and 3) an analysis of the comparison equation and/or cost function, employing the ICBA as estimator and either the ICBA or POA as predictor, enables a non-ambiguous identification of the scattering boundary.