  Optomechanical arrays made of structured flexible dielectrics are a promising
system for exploring quantum and many-body optomechanical phenomena. We
generalize investigations of the optomechanical properties of periodic arrays
of one-dimensional scatterers in optical resonators to the case of vibrating
membranes whose thickness is not necessarily small with respect to the optical
wavelength of interest. The array optical transmission spectrum and its
optomechanical coupling with a linear Fabry-Perot cavity field are investigated
both analytically and numerically.
