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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.

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