Abstract
In this paper, a quantum-mechanical model of interacting radiation and nonmetallic matter is used to study the connection between excitons, plasmons, and polaritons. An explicit description of polaritons as mixed particles consisting of photons and matter oscillators is given, and it is shown that polariton states form a suitable basis for calculations of nonlinear optical effects in crystals. Plasmon-photon interactions, in addition, are shown to occur in the crystal.