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Article Dans Une Revue Physical Review E Année : 2016

Solution of the inverse scattering problem by T-matrix completion. II. Simulations

Howard Levinson
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Vadim Markel
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Résumé

This is Part II of the paper series on data-compatible T -matrix completion (DCTMC), which is a method for solving nonlinear inverse problems. Part I of the series [H. W. Levinson and V. A. Markel, Phys. Rev. E 94, 043317 (2016)] contains theory and here we present simulations for inverse scattering of scalar waves. The underlying mathematical model is the scalar wave equation and the object function that is reconstructed is the medium susceptibility. The simulations are relevant to ultrasound tomographic imaging and seismic tomography. It is shown that DCTMC is a viable method for solving strongly nonlinear inverse problems with large data sets. It provides not only the overall shape of the object, but the quantitative contrast, which can correspond, for instance, to the variable speed of sound in the imaged medium.
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Dates et versions

hal-01282084 , version 1 (03-03-2016)
hal-01282084 , version 2 (26-10-2016)

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Howard Levinson, Vadim Markel. Solution of the inverse scattering problem by T-matrix completion. II. Simulations. Physical Review E , 2016, 94, pp.043318. ⟨10.1103/PhysRevE.94.043318⟩. ⟨hal-01282084v2⟩
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