  In a medium where the dielectric permittivity is perturbed in the presence of
an acoustic wave, optical scattering generates frequency-shifted light. In this
paper we consider the inverse problem of recovering the optical properties of
this medium from measurements of the frequency-shifted light, using a radiative
transport equation (RTE) model for light propagation. Given some assumptions on
the regularity and isotropicity of the coefficients of the RTE, we show that
the absorption coefficient can be reconstructed from the boundary measurements
of a single well chosen illumination, and that the scattering coefficients can
be reconstructed from boundary measurements of a one-parameter family of
illuminations.
