  We consider a one-dimensional optomechanical lattice where each site is
strongly driven by a control laser to enhance the basic optomechanical
interaction. We then study the propagation of photons injected by an additional
probe laser beam; this is the lattice-generalization of the well-known
optomechanically-induced transparency (OMIT) effect in a single optomechanical
cavity. We find an interesting interplay between OMIT-type physics and
geometric, Fabry-Perot type resonances. In particular, phonon-like polaritons
can give rise to high-amplitude transmission resonances which are much narrower
than the scale set by internal photon losses. We also find that the local
photon density of states in the lattice exhibits OMIT-style interference
features. It is thus far richer than would be expected by just looking at the
band structure of the dissipation-free coherent system.
