Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging

TL;DR

This paper develops a mathematical and numerical framework for quantitatively reconstructing the electric susceptibility and Gr"uneisen parameter of dielectric media using combined photoacoustic and optical coherence tomography data.

Contribution

It introduces a Galerkin-based numerical method to solve a Fredholm integral equation for the Gr"uneisen parameter in multi-modal imaging.

Findings

Successful numerical reconstruction of medium properties

Validation of the Galerkin method for integral equations

Enhanced quantitative imaging capabilities

Abstract

In this paper we perform quantitative reconstruction of the electric susceptibility and the Gr\"uneisen parameter of a non-magnetic linear dielectric medium using measurement of a multi-modal photoacoustic and optical coherence tomography system. We consider the mathematical model presented in [11], where a Fredholm integral equation of the first kind for the Gr\"uneisen parameter was derived. For the numerical solution of the integral equation we consider a Galerkin type method.