  We study the propagation of light in a resonator optical waveguide consisting
of evanescently coupled optomechanical crystal array. In the strong driving
limit, the Hamiltonian of system can be linearized and diagonalized. In this
case we obtain the polaritons, which is formed by the interaction of photons
and the collective excitation of mechanical resonators. By analyzing the
dispersion relations of polaritons, we find that the band structure can be
controlled by changing the related parameters. It has been suggested an
engineerable band structure can be used to slow and stop light pulses.
