Numerical analysis of the performance of a resonant gravity-wave detector

This paper presents the results of a detailed numerical calculation of the performance of a resonant gravitational radiation detector which uses an inductive transducer and a superconducting quantum interference device amplifier. We demonstrate the correctness of the calculations by comparing them to the present performance of the Louisiana State University antenna. We show that a standard cryogenic resonant bar detector operating at 4 K is capable of a noise temperature of less than 0.75 mK, corresponding to an rms gravitational-wave amplitude of 1.9×${10}^{-19\mathrm{}}$.