Multi-static response of spherical scatterers and the back-propagation of singular fields

Abstract : In view of the development of multiple signal clas- sification-type, non-iterative imaging procedures based on the singular value decomposition of the multistatic response (MSR) matrix of a collection of inclusions, the full 3-D electromagnetic case with arbitrary contrasts of permeability and permittivity (including perfectly electric conducting or perfectly magnetic con- ducting limit cases) is studied. The structure of the MSR matrix of a single inclusion (or a set of well-separated ones) is analyzed. Emphasis is on a far-field situation, in which one considers an electric dipole array operated in the transmit/receive mode at a single frequency. Back-propagated electric and magnetic fields associated to the singular vectors of the MSR matrix for a single spherical inclusion (or again for well-separated ones) are given in closed form and their leading-order values are exhibited. Numerical illustrations (cross-sectional maps of back-propagated fields computed from a singular value decomposition of the MSR matrix) are presented, for one and two inclusions, to illustrate this behavior as a function of the geometric and electromagnetic parameters of the configuration in a possibly noisy case.
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Contributor : Dominique Lesselier <>
Submitted on : Wednesday, November 2, 2011 - 4:19:30 PM
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Ekaterina Iakovleva, Dominique Lesselier. Multi-static response of spherical scatterers and the back-propagation of singular fields. IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers, 2008, 56 (3), pp.825-833. ⟨10.1109/TAP.2008.916913⟩. ⟨hal-00637679⟩



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