Principles of wide bandwidth acoustic detectors and the single-mass DUAL detector

TL;DR

This paper develops a theoretical framework for wide bandwidth acoustic gravitational wave detectors, proposing a single-mass dual detector design that monitors two acoustic modes, optimizing sensitivity in the 2-5 kHz range.

Contribution

It introduces a novel single-mass dual detector concept using two acoustic modes, simplifying implementation while maintaining advantages of nested oscillators.

Findings

Derived equations for 3D elastic body behavior in GW detection

Proposed a single-mass dual detector design for 2-5 kHz

Calculated the SQL sensitivity for the proposed detector

Abstract

We apply the standard theory of the elastic body to obtain a set of equations describing the behavior of an acoustic Gravitational Wave detector, fully taking into account the 3-dimensional properties of the mass, the readout and the signal. We show that the advantages given by a Dual detector made by two nested oscillators can also be obtained by monitoring two different acoustic modes of the same oscillator, thus easing the detector realization. We apply these concepts and by means of an optimization process we derive the main figures of such a single-mass Dual detector designed specifically for the frequency interval 2-5kHz. Finally we calculate the SQL sensitivity of this detector.