Abstract

We propose a scheme for generating a new kind of sideband, i.e., the fraction-order sideband, in an optomechanical system. In the conventional scheme of high-order sideband generation [Opt. Lett. 38, 353 (2013) [CrossRef]  ], the sideband interval has a minimum frequency limitation, which is equal to the mechanical frequency ${\omega _b}$, and this limits the precision of the sideband comb. With our proposed fraction-order sidebands, the sideband interval can break that limitation and reach ${\omega _b}/n$ ($n$ is an integer). The scheme we propose can be realized by driving the optomechanical system with three laser fields, including a control field (${\omega _c}$) and two probe fields (${\omega _{\!p}}$, ${\omega _{\!f}}$), in which the detuning between ${\omega _c}$ and ${\omega _{\!p}}$ is equal to the mechanical frequency ${\omega _b}$, while the detuning between ${\omega _c}$ and ${\omega _{\!f}}$ is equal to ${\omega _b}/n$. In this case, we find that not only the integer-order (high-order) sidebands, but also the fraction-order sidebands, and the sum and difference sidebands between the integer- and fraction-order sidebands, will appear in the output spectrum. Moreover, the sideband interval becomes ${\omega _b}/n$, and it can be decreased by increasing $n$. Our work paves the way to achieve a tunable optical frequency comb based on the optomechanical system.

© 2020 Optical Society of America

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