STUDIES OF ENERGY RECOVERY LINACS AT ... - CASA
STUDIES OF ENERGY RECOVERY LINACS AT ... - CASA
STUDIES OF ENERGY RECOVERY LINACS AT ... - CASA
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occurred at approximately 2 mA of average beam current. The process of slowly<br />
ramping up the current was repeated several times to ensure that the instability<br />
developed at the same current each time. With the FEL Upgrade Driver in a<br />
configuration to readily observe beam breakup, the mode causing the instability was<br />
identified (Section 5.3) and measurements of the threshold current were conducted<br />
(Section 5.4) to benchmark BBU simulation codes.<br />
5.3 HOM Voltage<br />
Upon identifying cavity 7 as containing the unstable mode, the next measure-<br />
ment was identifying the frequency of the mode. To do this, the signals from the<br />
HOM coupler are split further after the −20 dB directional coupler, with one part<br />
connected to a Schottky diode to measure the power while the other part is sent di-<br />
rectly to an oscilloscope to measure the voltage. A schematic of this setup is shown<br />
in Fig. 5.3. If the oscilloscope is fast enough and the signal sufficiently sampled, the<br />
frequency of the offending mode can be extracted by Fourier analysis. A screen shot<br />
of the oscilloscope screen showing the HOM power and voltage during BBU is given<br />
in Fig. 5.4. Taking the FFT of the voltage signal reveals that the mode frequency<br />
is 2106.007 MHz (see Fig. 5.5).<br />
The results of the measurements show that with nominal, decoupled optics for<br />
an 88 MeV machine configuration, the most dangerous mode is at a frequency of<br />
2106.007 MHz and located in cavity 7. This is in agreement with simulation results<br />
presented in Section 4.8.2. The 2106 MHz mode was considered one of the prime<br />
candidates for causing BBU because it has the second highest impedance, (R/Q)QL,<br />
of the 224 modes measured in zone 3. In fact, the highest impedance mode is also in<br />
cavity 7, at a frequency of 2116 MHz. However subsequent measurements, described<br />
116<br />
in Section 5.4.3, confirmed that this HOM was not a threat for causing BBU because