Sensitivity Limits of a Capacitive Transducer for Gravitational Wave Resonant Antennas

We analyze the performance of a resonant gravitational wave antenna equipped with a resonant, d.c. biased capacitive transducer, an untuned superconducting matching circuit and a d.c. Squid. We derive simple relations for the detector energy sensitivity that serve as guidelines for device development and we show that, with reasonable improvements in Squid technology, an effective temperature for burst detection of 2 μK can be achieved.