Title: Time-reversal-based noniterative exact inverse scattering of multiply scattering point targets
Abstract: This research investigates within exact scattering theory time-reversal-based approaches for the inverse scattering in a known but rather arbitrary embedding background medium of an unknown total scatterer composed of a number of dominant subwavelength (pointlike) scattering centers (targets) that are located at unknown positions and have unknown scattering strengths or reflectivities (characterizing a scattering potential). Of particular interest is the formulation of a new inverse scattering method (comprising both inverse support and inverse medium aspects) based on a two-step procedure. The first step (support inversion) consists of the localization of the targets via signal subspace approaches such as time-reversal MUSIC and a new, high-dimensional signal subspace method that is shown to be linked to maximum likelihood estimation. The second step (nonlinear medium inversion) is a new, noniterative scattering strength inversion formula for the reconstruction of the target scattering strengths or reflectivities. Importantly, the derived method is valid even in the presence of multiple scattering between the targets, which is remarkable since the mapping from the reflectivities to the field data is then nonlinear. The theory is illustrated with several computer examples. [Work supported by AFOSR under Grant FA9550-06-01-0013.]
Publication Year: 2006
Publication Date: 2006-05-01
Language: en
Type: article
Indexed In: ['crossref']
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