Information for “ Electromagnetically Induced Transparency and Slow Light with Optomechanics ”

With the pump detuned from the cavity by a two-photon detuning ∆, the spectral selectivity of the optical cavity causes the sideband populations to be skewed in a drastic fashion. It is then an acceptable approximation to neglect one of these sidebands, depending on whether the pump is on the red or blue side of the cavity. When the pump resides on the red side (∆OC > 0), the α+ is reduced and can be neglected. This is the rotating wave approximation (RWA) and is valid so long as ∆ κ. Then Eqs. (S3-S4) may be solved for the reflection and transmission coefficients r(ωs) and t(ωs) of the side-coupled cavity system. We find that