The Ipswich data provide a unique opportunity for the validation of the approximate back-propagation (ABP) methods, which were originally developed to identify the shape of acoustic scatterers in the resonance region. Said methods rely on a heuristic relationship, i.e., ABP, between the expansion coefficients that represent the scattered wave in the far zone and those on the obstacle boundary, Γ. The unknown is the shape-parameter vector, ψ→ ∈'Ψ, the admissible set. The objective function to be minimized is the L2(Γ)-norm of the boundary defect. In the vertical-polarization case, ABP consists of an affine map, which is easy to derive. Its ingredients are arrays of inner products in L2(Γ), where outgoing cylindrical wave functions are involved. ©1999 IEEE.
Crosta, G. (1999). The third annual special session on image reconstruction using real data, part 2. The application of back-propagation algorithms to the Ipswich data: Preliminary results. IEEE ANTENNAS & PROPAGATION MAGAZINE, 41(2), 20-26 [10.1109/74.769688].
The third annual special session on image reconstruction using real data, part 2. The application of back-propagation algorithms to the Ipswich data: Preliminary results
CROSTA, GIOVANNI FRANCO FILIPPO
1999
Abstract
The Ipswich data provide a unique opportunity for the validation of the approximate back-propagation (ABP) methods, which were originally developed to identify the shape of acoustic scatterers in the resonance region. Said methods rely on a heuristic relationship, i.e., ABP, between the expansion coefficients that represent the scattered wave in the far zone and those on the obstacle boundary, Γ. The unknown is the shape-parameter vector, ψ→ ∈'Ψ, the admissible set. The objective function to be minimized is the L2(Γ)-norm of the boundary defect. In the vertical-polarization case, ABP consists of an affine map, which is easy to derive. Its ingredients are arrays of inner products in L2(Γ), where outgoing cylindrical wave functions are involved. ©1999 IEEE.
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