Om. Bucci et T. Isernia, ELECTROMAGNETIC INVERSE SCATTERING - RETRIEVABLE INFORMATION AND MEASUREMENT STRATEGIES, Radio science, 32(6), 1997, pp. 2123-2137
With reference to inverse scattering from an unknown object of limited
extension embedded in a homogeneous background at a fixed frequency,
we show that only a finite-dimensional representation of the unknown c
ontrast can be hopefully retrieved. Exploiting the quasi-band-limitedn
ess property of scattered fields, an accurate upper bound to the dimen
sion of such a space is evaluated in both the single incidence and mul
tiview cases. Moreover, effective schemes are given to collect all the
information available from the scattering experiments in a nonredunda
nt manner. As a by-product, an optimal (minimally redundant) sampling
strategy for the monostatic radar cross section is also provided. Fina
lly, we briefly discuss how the requirement for a globally effective a
nd reliable solution scheme can lead to a reduction of the actually re
trievable information.