Linear negative dispersion with a gain doublet via optomechanical interactions

TL;DR

This paper demonstrates a method to achieve tunable negative dispersion in an optomechanical cavity using a silicon nitride membrane and blue detuned pumping, which could enhance gravitational wave detector sensitivity.

Contribution

It introduces a classical approach to realize tunable negative dispersion with an optomechanical cavity pumped by a blue detuned doublet, advancing potential applications in GW detection.

Findings

Negative dispersion achieved with phase derivative from -0.14 to -4.2e-3 Deg/Hz

Utilized an 85mm cavity with a silicon nitride membrane

Demonstrated tunability of negative dispersion in the system

Abstract

Optical cavities containing a negative dispersion medium have been proposed as a means of improving the sensitivity of laser interferometric gravitational wave (GW) detectors through the creation of white light signal recycling cavities. Here we classically demonstrate that negative dispersion can be realized using an optomechanical cavity pumped by a blue detuned doublet. We used an 85mm cavity with an intra-cavity silicon nitride membrane. Tunable negative dispersion is demonstrated, with a phase derivative $d\varphi/df$ from $-0.14$ Deg$\cdot$Hz$^{-1}$ to $-4.2\times10^{-3}$ Deg$\cdot$Hz$^{-1}$.