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We propose an approach for the simultaneous reconstruction of theelectromagnetic and acoustic material parameters, in the given medium $\Omega$where to image, using the photo-acoustic pressure, measured on a single pointof the boundary of $\Omega$, generated by plasmonic nanoparticles. We provethat the generated pressure, that we denote by $p^{\star}\left(x, s, \omega\right)$, depending on only one fixed point $x \in \partial \Omega$, the timevariable $s$, in a large enough interval, and the incidence frequency $\omega$,in a large enough band, is enough to reconstruct both the sound speed, the massdensity and the permittivity inside $\Omega$. Indeed, from the behavior of themeasured pressure in terms of time, we can estimate the travel time of thepressure, for arriving points inside $\Omega$, then using the eikonal equationwe reconstruct the acoustic speed of propagation. In addition, we reconstructthe internal values of the acoustic Green's function. From the singularityanalysis of this Green's function, we extract the integrals along thegeodesics, for internal arriving points, of the logarithmic-gradient of themass density. Solving this (internal) integral geometric problem provides uswith the values of the mass density function inside $\Omega$. Finally, from thebehavior of $p^{\star}\left(x, s, \omega \right)$ with respect to the frequency$\omega$, we detect the generated plasmonic resonances from which wereconstruct the permittivity inside $\Omega$.

Simultaneous Reconstruction of Optical and Acoustical Properties in Photo-Acoustic Imaging using plasmonics