Spectral properties of the forward operator in photo-acoustic tomographyMS12

Photo-acoustic tomography (PAT) exploits an interaction between electromagnetic and acoustic phenomena. Accordingly, a standard forward model underlying PAT involves an elliptic PDE with internal data coupled with a hyperbolic initial-boundary problem. For both component problems one can formulate a forward operator that maps a feature of the sample (light absorption, diffusivity) to internal or boundary data. We investigate spectral properties of the composition of the two forward operators, exploring the interplay between the component operators.

This presentation is part of Minisymposium “MS12 - New directions in hybrid data tomography (2 parts)
organized by: Kim Knudsen (Technical University of Denmark) , Cong Shi (Georg-August-Universität Göttingen) .

Mirza Karamehmedović (Technical University of Denmark)
inverse problems, partial differential equation models