Slow light effect caused by optomechanically induced transparency in multimode optomechanical system

Due to the radiation pressure, cavity optomechanical system can couple optical field with mechanical resonator, so state of resonator be regulated through field. Conversely, in also by modulating element. Therefore, many interesting phenomena, such as Fano resonance, optomechanically induced absorption and amplification, transparency, generated a system. Especially transparent windows, both dispersion properties change strongly, which results extensive applications slow light storage. Because its ultra-high quality factor, small size, mass production on chip convenient all-optical control, it provides an ideal platform for realizing engineering. In this work, solving Heisenberg equation motion multimode consisting two oscillators, then using input-output relationship cavity, intensity probe transmission obtained. Taking experiment date realistic parameter, behavior different detuning conditions are presented. By controlling pump power under blue detuning, undergoes parametric critical is case red resonance phase studied, coupling strengths, frequency relations compared. The numerical show that strength between oscillators increases, splitting distance becomes larger, larger ratio will result peak width. resonators, spectra undergo series transitions from transparency. window accompanied rapid change, lead group delay. effect caused transparency further discussed, propagation fast controlled pump-cavity detuning. delay reach order milliseconds. based array structure has potential application prospect slowing storage pulses.