Abstract
We present a numerical analysis to simulate the response of a spherical resonant gravitational wave detector and to compute its sensitivity. Under the assumption 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. We use our model for computing the sensitivity and therefore compare different designs of spherical detectors. In particular, we present the case of 1 m radius bulk and hollow spheres equipped with transducers in a TIGA configuration, and we explore the sensitivity of a hollow sphere as a multi-modal detector.
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