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Multipole Theory and Algorithms for Target Support Estimation
Author(s) -
Edwin A. Marengo
Publication year - 2013
Publication title -
international journal of antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.282
H-Index - 37
eISSN - 1687-5877
pISSN - 1687-5869
DOI - 10.1155/2013/515240
Subject(s) - multipole expansion , helmholtz equation , fast multipole method , scalar (mathematics) , inverse , inverse problem , algorithm , scattering , scalar field , inverse scattering problem , field (mathematics) , helmholtz free energy , mathematics , computer science , mathematical optimization , physics , mathematical analysis , geometry , optics , mathematical physics , quantum mechanics , boundary value problem , pure mathematics
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 scalarHelmholtz equation. The proposed approach allows the estimation of possibly nonconvex minimum source regions. The derived method is illustratedwith an example relevant to inverse scattering

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