English

The D-bar Method for Diffuse Optical Tomography: a computational study

Numerical Analysis 2016-02-03 v2

Abstract

The D-bar method at negative energy is numerically implemented. Using the method we are able to numerically reconstruct potentials and investigate exceptional points at negative energy. Subsequently, applying the method to Diffusive Optical Tomography, a new way of reconstructing the diffusion coefficient from the associated Complex Geometrics Optics solution is suggested and numerically validated.

Keywords

Cite

@article{arxiv.1601.04636,
  title  = {The D-bar Method for Diffuse Optical Tomography: a computational study},
  author = {Janne P. Tamminen and Tanja Tarvainen and Samuli Siltanen},
  journal= {arXiv preprint arXiv:1601.04636},
  year   = {2016}
}

Comments

Updated: added references to the work of E. Lakshtanov et al

R2 v1 2026-06-22T12:31:59.072Z