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Electromagnetic inverse scattering: Retrievable information and measurement strategies
Author(s) -
Bucci O. M.,
Isernia T.
Publication year - 1997
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/97rs01826
Subject(s) - inverse scattering problem , scattering , inverse problem , object (grammar) , computer science , dimension (graph theory) , radar , representation (politics) , radar cross section , reduction (mathematics) , algorithm , product (mathematics) , mathematics , mathematical optimization , mathematical analysis , optics , artificial intelligence , physics , telecommunications , geometry , politics , law , political science , pure mathematics
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 contrast can be hopefully retrieved. Exploiting the quasi‐band‐limitedness property of scattered fields, an accurate upper bound to the dimension of such a space is evaluated in both the single incidence and multiview cases. Moreover, effective schemes are given to collect all the information available from the scattering experiments in a nonredundant manner. As a by‐product, an optimal (minimally redundant) sampling strategy for the monostatic radar cross section is also provided. Finally, we briefly discuss how the requirement for a globally effective and reliable solution scheme can lead to a reduction of the actually retrievable information.