Exciton-phonon scattering in a microcavity

In this subsection we take into account the exciton-phonon interaction and show that the exciton-cavity photon interaction also gives rise to a nonelastic Wannier-Frenkel interaction with phonons. Let us begin with the exciton-phonon interaction Hamiltonian 

Operator (13.113) has terms with p p which give us the transitions from one branch p to another p. It is seen from eqn (13.114) that in the region of strong renormalization of cavity modes, the polariton-phonon interaction will be determined by the structure of the p, p modes. For example, to have a large contribution of the exciton-phonon interaction from organic QWs to the transition p — p with emission of a phonon we need large enough values of NF (7, ) and NF(k — q) 2. 

---