# Enhancement of optomechanically induced sum sideband using parametric interactions

## TL;DR

This paper theoretically demonstrates that incorporating an optical parametric amplifier within an optomechanical system significantly enhances the generation of sum sidebands, with tunable properties for potential applications in light manipulation and precision sensing.

## Contribution

It introduces a novel method to enhance sum sideband generation in optomechanics using an internal OPA, including a new matching condition and tunable peak characteristics.

## Key findings

- Sum sideband amplitude is greatly increased by the OPA.
- A new matching condition for upper sum sideband is identified.
- The peak height and width are tunable via the OPA gain and phase.

## Abstract

We theoretically study radiation pressure induced generation of the frequency components at the sum sideband in an optomechanical system containing an optical parametric amplifier (OPA). It is shown that an OPA inside a cavity can considerably enhance the amplitude of sum sideband even with low power input fields. We find a new matching condition for the upper sum sideband generation. The height and width of the new peak can be adjusted by the nonlinear gain of the OPA. Furthermore, the lower sum sideband generation can be enhanced with several orders of magnitude by tuning the nonlinear gain parameter and the phase of the field pumping the OPA. The enhanced sum sideband may have potential applications to the manipulation of light in a on-chip optomechanical device and the sensitively sensing for precision measurement in the weak optomechanical coupling regime.