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

29 pages, 10 figures

Cited by in corpus (7)

• Dynamical non-axisymmetric instabilities in rotating relativistic stars
• Complete model of a spherical gravitational wave detector with capacitive transducers. Calibration and sensitivity optimization
• Detection of high energy cosmic rays with the resonant gravitational wave detector NAUTILUS and EXPLORER
• Silicon-nitride nanosensors toward room temperature quantum optomechanics
• A theoretical approach to thermal noise caused by an inhomogeneously distributed loss -- Physical insight by the advanced modal expansion
• A kg-mass prototype demonstrator for DUAL gravitational wave detector: opto-mechanical excitation and cooling
• On the Sensitivity of a Hollow Sphere as a Multi-modal Resonant Gravitational Wave Detector