We analyze the ill-posedness of the photoacoustic imaging problem in the case of an attenuating medium. To this end, we introduce an attenuated photoacoustic operator and determine the asymptotic behavior of its singular values. We show that for strong attenuation the singular values decay exponentially while for weak attenuation they are decaying like in the non-attenuating case.

This presentation is part of Minisymposium “MS61 - Imaging with Light and Sound (3 parts)”
organized by: Felix Lucka (CWI & UCL) , Tanja Tarvainen (University of Eastern Finland) .

Authors:

Otmar Scherzer (Computational Science Center, University of Vienna)

Peter Elbau (University of Vienna)

Cong Shi (Georg-August-Universität Göttingen)

Keywords:

image reconstruction, inverse problems