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MUSIC-type imaging of 3-D inclusions from asymptotic formulations within the framework of the full Maxwell system

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Abstract

Fast, non-iterative, single-frequency imaging of a collection of small 3-D bounded inclusions buried within homogeneous or stratified linear isotropic media via electromagnetic means, using the least amount of (vector field) data is studied herein. The framework is the one of small-scatterer asymptotic formulations derived from the full 3D Maxwell equations and involving the pertinent Green dyads. They in particular call for polarization tensors in specific coordinate systems (spherical, bispherical) yielded by low-frequency scattering theory. Algorithms of the MUltiple SIgnal Classification type (MUSIC) are proposed to achieve the above imaging from the Multi-Static Response matrix which is assumed to be available in dipole array configurations. Inverse-crime asymptotic data as well as exact ones (with discretization), noise added, are computed and pros and cons of the imaging method in a variety of configurations is investigated from them. Potential applications and necessary extensions are briefly browsed through.
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Dates and versions

hal-00641084 , version 1 (14-11-2011)

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  • HAL Id : hal-00641084 , version 1

Cite

Dominique Lesselier, Souhir Gdoura, Gaële Perrusson, Won-Kwang Park. MUSIC-type imaging of 3-D inclusions from asymptotic formulations within the framework of the full Maxwell system. Workshop Imaging Microstructures - Mathematical and Computational Challenges, Jun 2008, Paris, France. ⟨hal-00641084⟩
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