On the Sensitivity of a Hollow Sphere as a Multi-modal Resonant Gravitational Wave Detector

TL;DR

This paper numerically analyzes a hollow spherical resonant gravitational wave detector's response and sensitivity, demonstrating how multiple transducers improve detection capabilities through coherent analysis.

Contribution

It introduces a numerical simulation method for the detector's response and sensitivity, including multi-transducer coherent analysis, advancing gravitational wave detection techniques.

Findings

Sensitivity curve computed for single transducer

Enhanced sensitivity with coherent multi-transducer analysis

Method applicable to optimizing spherical gravitational wave detectors

Abstract

We present a numerical analysis to simulate the response of a spherical resonant gravitational wave detector and to compute its sensitivity. Under the assump- tion of optimal filtering, we work out the sensitivity curve for a sphere first taking into account only a single transducer, and then using a coherent analysis of the whole set of transducers.