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Inverse problem in elasticity and in electromagnetics.

Abstract : Small inclusions of congestion are sources of disruption to ambient electromagnetic fields (those that exist in their absence, by example). It is easily conceivable that the extent of these disturbances can provide information enabling the identification of inclusions, which by iden- cation means at least one location, but where we could also quantifocation serve their electrical parameters, even in the best assumptions, congestion and characterization of their shapes. Recently, mathematical theory was developed to identify small inclusions from border measures, see [7] and references therein. This thesis focuses on the identi? Cation of homogeneous inclusions (from a priori unknown number) of a given medium from measurements of amplitudes di? raction at the appropriate illumination of the medium. First, we pro- Nisson new asymptotic formulas, as sturdy as specific fields electromagnetic phenomenon resulting from diffraction. Then, we ex- ploitons for the construction of identification algorithms noniterative relevant. The problem is treated in three parts, each dedicated to a specific geometry? that: 1) The burial environment of the collection is homogeneous, free space. 2) The medium consists of two half-spaces separated by a plane interface, collection studied lying in the lower half-space and sources and sensors located in the upper half-space. 3) The medium is a waveguide, and the collection is in the heart of this guide wave
Keywords : Diffraction inverse
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Ekaterina Iakovleva. Inverse problem in elasticity and in electromagnetics.. Mathematics [math]. Ecole Polytechnique X, 2004. English. ⟨pastel-00001126⟩

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