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STUDIES OF ENERGY RECOVERY LINACS AT ... - CASA

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TABLE 5.1: Comparison of simulation predictions, experimental results and the analytic<br />

calculation of the threshold current.<br />

Method Threshold Current (mA)<br />

Simulation TDBBU 2.1<br />

M<strong>AT</strong>BBU 2.1<br />

ERLBBU 2.1<br />

BI 2.1<br />

Experimental Direct Observation 2.3 ± 0.2<br />

Kicker-based BTF 2.3 ± 0.1<br />

Cavity-based BTF 2.4 ± 0.1<br />

Growth Rates 2.3 ± 0.2<br />

(method 1) 2.3 ± 0.1<br />

2.3 ± 0.1<br />

(method 2) 2.2 ± 0.2<br />

Analytic Analytic Formula 2.1<br />

in different current regimes (above and below the threshold) and working in both<br />

the time and frequency domain, there is complete agreement in determining the<br />

threshold current.<br />

To emphasize the value of the single mode threshold current derived in Sec-<br />

tion 4.2, Table 5.1 includes the threshold current as determined by plugging values<br />

for the 2106 MHz mode in Eq. (4.21). The analytic formula agrees very well with<br />

both simulations and experimental data.<br />

The results summarized in Table 5.1 represent the first time BBU simulation<br />

codes have been benchmarked with experimental data. The measured data and the<br />

simulation predictions agree to within 10%. As a consequence of benchmarking the<br />

codes, the validity of the analytic model used to describe BBU, and the threshold<br />

current formula in particular, have been confirmed.<br />

137

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