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    Energy streamlines for qualitative inverse scattering in fluids and solids

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    In time-harmonic acoustic fields, energy streamlines are defined as the integral curves of the power-flux density vector, averaged over a period. They provide a tool to visualize the details of propagation of energy. After reviewing the role of energy streamlines in the linear sampling method for acoustic inverse scattering, this work formulates a physical interpretation of the same qualitative method in the case of an isotropic homogeneous solid matrix. Specifically, it is shown that the linear sampling method results from conservation of energy along streamline tubes of energy flow associated with elastic waves

    A new formulation of the linear sampling method: spatial resolution and post-processing

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    A new formulation of the linear sampling method is described, which requires the regularized solution of a single functional equation. This new approach presents notable advantages: it is computationally fast; it allows a quantitative estimate of the spatial resolution; it facilitates a post-processing procedure for the optimal selection of the scatterer profile by means of deformable models
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