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

Transport models for wave propagation in scattering media with nonlinear absorption