Slowing light with a coupled optomechanical crystal array

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.