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International Journal of Antennas and Propagation
Volume 2013, Article ID 515240, 15 pages
Research Article

Multipole Theory and Algorithms for Target Support Estimation

Department of Electrical and Computer Engineering, Northeastern University, Boston, MA 02115, USA

Received 25 April 2013; Accepted 1 July 2013

Academic Editor: Francesco Soldovieri

Copyright © 2013 Edwin A. Marengo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The inverse problem of estimating the smallest region of localization (minimum source region) of a source or scatterer that can produce a given radiation or scattered field is investigated with the help of the multipole expansion. The results are derived in the framework of the scalar Helmholtz equation. The proposed approach allows the estimation of possibly nonconvex minimum source regions. The derived method is illustrated with an example relevant to inverse scattering.