Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Prac- tice, Cambridge, UK, 11-15th July 2005 A NEW INVERSE SOLVER FOR DIFFUSION TOMOGRAPHY USING MULTIPLE SOURCES

نویسنده

  • T. R. LUCAS
چکیده

Abstract This is a preliminary report on the development of a diffusion based inverse solver for the Helmholtz equation in the frequency domain, in the context of optical tomography. This utilizes a great simplification of the previously developed Elliptical Systems Method with the use of a certain new PDE of the 2nd order, with related boundary and special conditions. In this report we consider the recovery of just the absorption coefficient with both theory and numerical examples, focusing on the case of incomplete data collection using multiple continuous wave (zero frequency) sources. The incomplete data collection is over a rectangular region and includes use of sources and detectors limited to the top and bottom sides, detectors on the transmitted sides only and detectors on the back-reflected sides only.

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تاریخ انتشار 2005