  We propose a scheme generating robust squeezed light by using double cavity
optomechanical system driven by a blue detuned laser in one cavity and by a red
detuned laser in the other. This double cavity system is shown to mimic
effectively an interaction that is similar to the one for the downconverter,
which is known to be a source of strong squeezing for the light fields. There
are however distinctions as the phonons, which lead to such an interaction, can
contribute to the quantum noise. We show that the squeezing of the output
fields in the order of $10$dB can be achieved even at the mirror temperature at
the order of $10$mK.
