Radiation pressure induced difference-sideband generation beyond linearized description

TL;DR

This paper explores the generation of difference-sidebands in an optomechanical system beyond linear models, revealing a simple power-law dependence and enhancement conditions, with potential applications in integrated photonics.

Contribution

It provides an analytical framework for understanding difference-sideband generation beyond linearized interactions, including a simple law and enhancement strategies.

Findings

Difference-sideband amplitudes follow a square-root law with pump power.

Matching conditions can greatly enhance sideband generation.

Potential for on-chip optomechanical device applications.

Abstract

We investigate radiation-pressure induced generation of the frequency components at the difference-sideband in an optomechanical system, which beyond the conventional linearized description of optomechanical interactions between cavity fields and the mechanical oscillation. We analytically calculate amplitudes of these signals, and identify a simple square-root law for both the upper and lower difference-sideband generation which can describe the dependence of the intensities of these signals on the pump power. Further calculation shows that difference-sideband generation can be greatly enhanced via achieving the matching conditions. The effect of difference-sideband generation, which may have potential application for manipulation of light, is especially suited for on-chip optomechanical devices, where nonlinear optomechanical interaction in the weak coupling regime is within current experimental reach.