We solve the low-energy part of the spectrum of a model that describes a cavity mode strongly coupled to an exciton, and both modes coupled to continua of bosonic excitations which give rise to homogeneous broadenig. The spectral density of the cavit
y modes in the low-energy manifold agrees with measured photoluminiscense spectra. We suggest fitting these spectra with a sum of two asymmetric Lorentzians.
We present calculations of the intensity of polariton-mediated inelastic light scattering in semiconductor microcavities within a Greens function framework. In addition to reproducing the strong coupling of light and matter, this method also enables
the inclusion of damping mechanisms in a consistent way. Our results show excellent agreement with recent Raman scattering experiments.
