Solution of the inverse scattering problem by T-matrix completion. II. Simulations
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.
Domaines
Optique [physics.optics]Origine | Fichiers produits par l'(les) auteur(s) |
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