The results described in Section 3 were obtained using two important approximations. First, the electrodynamics field is treated classically, and second, the molecular quantum dynamics is evaluated using mean field theory, specifically it is assumed that the molecular wavefunction can be approximately written as a product of wavefunctions of the individual molecules. While the validity of these approximations is not obvious, they were found to compare favorably, in the weak excitation limit, with a fully quantum calculation of a similar model in the one-exciton approximation. While the strong coupling character of our simple model is clearly established and can be clearly identified in the numerical results for transmission and reflection, a significant observation is the early time slowdown of the dissociation dynamics for when the system is driven at the upper or lower polariton frequencies.