Three-mode opto-acoustic parametric interactions with coupled cavity

TL;DR

This paper provides a theoretical analysis of three-mode opto-acoustic interactions in coupled cavities, highlighting their potential for studying parametric instability and cooling, relevant for advanced gravitational-wave detectors.

Contribution

It introduces a novel theoretical framework for three-mode interactions in coupled cavities, enabling exploration of both instability and cooling regimes in a single setup.

Findings

Coupled cavities enable high parametric gain for instability and cooling.

The scheme can be implemented in gravitational-wave detectors for better control.

Potential to develop new models and control techniques for opto-acoustic interactions.

Abstract

We theoretically analyze three-mode opto-acoustic parametric interactions in a coupled Fabry-Perot cavity, where one acoustic mode interacts with two optical modes. We show explicitly that extra degrees of freedom in a coupled cavity allow explorations of both parametric instability and cooling regimes with high parametric gain in a single table top experiment. This work can motivate experimental realizations of the three-mode parametric instability which might be an issue in next-generation gravitational-wave detectors with high optical-power cavities, helping in the development of better models, and in developing techniques for controls. In addition, we show that the same scheme can be implemented in the resolved-sideband acoustic-mode cooling.