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

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [16 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01282084
Contributor : Vadim Markel <>
Submitted on : Wednesday, October 26, 2016 - 4:29:29 PM
Last modification on : Monday, March 4, 2019 - 2:04:24 PM

File

Paper.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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

Share

Metrics

Record views

129

Files downloads

63