  Dynamical back-action cooling of phonons in optomechanical systems having one
optical mode is well studied. Systems with two optical modes have the potential
to reach significantly higher cooling rate through resonant enhancement of both
pump and scattered light. Here we experimentally investigate the role of dual
optical densities of states on optomechanical cooling, and the deviation from
theory caused by thermal locking to the pump laser. Using this, we demonstrate
a room temperature system operating very close to the strong coupling regime,
where saturation of cooling is anticipated.
