Higher-order sidebands in optomechanically induced transparency

Higher-order sidebands in optomechanically induced transparency are discussed in a generic optomechanical system. We take account of nonlinear terms and give an effective method to deal with such problems. It is shown that, if a strong control field with frequency ω₁ and a weak probe field with frequency ωₚ are incident upon the optomechanical system, then there are output fields with frequencies ω₁±2Ω generated, where Ω=ωₚ-ω₁. We analyze the amplitude of the output field ω₁+2Ω and look at how it varies with the control field and show that the amplitude of the second-order sideband can be controlled by the strong control field.