Superconducting Storage Cavity for RHIC Page: 4 of 16
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Table 1. Electromagnetic and electromechanical parameters of the 56 MHz SRF cavity
Stored energy 216 Joules (At 2.5 MV gap voltage)
Operating temperature 4.2 K
Power dissipation 42 W (Assuming 10 nQ residual surface resistivity)
Qo 1.8 10+ (Same assumption as above)
Design loaded Q 4107
r/Q (acceleration notation) 81 Q
Maximum surface magnetic field 84 kA/m
Maximum surface electric field 44 MV/m
Tuning rate of mechanical tuner 15.8 kHz/mm, 0.016 Hz/step, 790 Hz/second
Elastic tuning range >24 kHz
Plastic tuning range 95 kHz
Pressure frequency detuning 0.28 Hz/mB
Lorentz detuning at 2.5 MV 231 Hz
First mechanical mode frequency 98.5 Hz
Piezoelectric tuner range 25 Hz
Piezoelectric tuner natural resonance 160 Hz
It is worth noticing that the resonator is beam driven, and has a large Lorentz frequency shift and a
rather small loaded bandwidth. A monotonic instability is not an issue since the resonant frequency is
approaching the generator (beam) frequency from below, however amplitude feedback is necessary to
provide stability against the oscillatory ponderomotive instability.
The work referenced above provides details of the optimization method and also provides the details of
setting the room temperature on-the-bench frequency right to obtain the desired cold, operational
frequency.
" The shape of the resonator is affected by a few other considerations, some of which will be
detailed in a few of the following sections. These include:
" The accessibility of the internal surface area to chemical polishing and high-pressure water
rinsing, two important fabrication and preparation steps.
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Ben-Zvi, Ilan. Superconducting Storage Cavity for RHIC, report, January 1, 2009; United States. (https://digital.library.unt.edu/ark:/67531/metadc846424/m1/4/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.