Photoacoustic tomography in attenuating acoustic media
Thursday, May 2, 2019 - 3:10pm - 4:00pm
The inverse photoacoustic tomography (PAT) problem consists in the recovery of an initial internal source from a single boundary observation of ultrasound waves. This inverse problem arises as one of the two steps of the hybrid imaging modality of the same name, whose ultimate goal is the determination of optical properties of the media from the acoustic measurements. It has been been observed experimentally that for biological tissues the acoustic attenuation of waves is not negligible and the reconstruction of the initial pressure can be severally damage if its effect is not take it into account. In this talk, I will show some theoretical results on the analysis of this problem in the particular case where the attenuation is modeled by a time-convolution. Under some conditions on the parameters and the geometry I will show that it is possible to achieve uniqueness, stability and reconstruction.