  This work considers the propagation of high-frequency waves in
highly-scattering media where physical absorption of a nonlinear nature occurs.
Using the classical tools of the Wigner transform and multiscale analysis, we
derive semilinear radiative transport models for the phase-space intensity and
the diffusive limits of such transport models. As an application, we consider
an inverse problem for the semilinear transport equation, where we reconstruct
the absorption coefficients of the equation from a functional of its solution.
We obtain a uniqueness result on the inverse problem.
