Rice University

Events at Rice

Colloquium

Computational and Applied Mathematics
Dean of Engineering

Speaker: Kui Ren
Department of Mathematics and Institute of Computational Engineering and Sciences
University of Texas at Austin

Nonlinear Quantitative Photoacoustic Tomography with Two-photon Absorption

Monday, March 20, 2017
3:00 PM  to 4:00 PM

1064  Duncan Hall
Rice University
6100 Main St
Houston, Texas, USA

Two-photon photoacoustic tomography (TP-PAT) is a non-invasive optical molecular imaging modality that aims at inferring two-photon absorption property of heterogeneous media from photoacoustic measurements. In this work, we analyze an inverse problem in quantitative TP-PAT where we intend to reconstruct optical coefficients in a semilinear elliptic PDE, the mathematical model for the propagation of near infra-red photons in tissue-like optical media, from the internal absorbed energy data. We derive uniqueness and stability results on the reconstructions of single and multiple coefficients, and perform numerical simulations based on synthetic data to validate the theoretical analysis.



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