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 omega(1) and a weak probe field with frequency omega(p) are incident upon the optomechanical system, then there are output fields with frequencies omega(1) +/- 2 Omega generated, where Omega = omega(p) - omega(1). We analyze the amplitude of the output field omega(1) + 2 Omega 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.