  We explore the viability of using optical refrigeration as a low-vibration
cooling method for a phase-sensitive optomechanical amplifier proposed to
improve the sensitivity of future gravitational wave detectors. We find that
with moderate improvements on coolants currently available, optical
refrigeration can improve the amplifier gain by a factor of 10 relative to what
is possible with radiative cooling. We also show that the technique does not
add significant noise to the amplifier. These results indicate that optical
refrigeration can play an important role in cooling optomechanical devices.
