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

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

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 coeff...

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Hauptverfasser: Tamminen, Janne P, Tarvainen, Tanja, Siltanen, Samuli
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Numerical Analysis
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Zusammenfassung: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.
DOI:10.48550/arxiv.1601.04636