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Multipactor in Low Pressure Gas and in ... - of Richard Udiljak

Multipactor in Low Pressure Gas and in ... - of Richard Udiljak

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only model, the <strong>in</strong>clusion <strong>of</strong> ionisation <strong>and</strong> thermal spread leads to a<br />

decreased threshold with <strong>in</strong>creas<strong>in</strong>g pressure.<br />

Thresholds as <strong>in</strong> Fig. 3.7 can be found for all impact velocities between<br />

W1 <strong>and</strong> W2 <strong>and</strong> by construct<strong>in</strong>g the envelope <strong>of</strong> all these curves<br />

for each order <strong>of</strong> resonance, the complete, classical multipactor zones can<br />

be found for a given pd-product for each zone. This is done <strong>in</strong> Fig. 3.8,<br />

which shows the complete zones for three different pd-values. The drawback<br />

with this chart is that the model does not account for the hybrid<br />

zones <strong>and</strong> thus the right boundary <strong>of</strong> each zone will not accurately reflect<br />

the true multipactor threshold for those fd-values. The model can,<br />

however, be extended to <strong>in</strong>clude also the hybrid modes, but due to the<br />

<strong>in</strong>creased complexity, this is left as future work<br />

Voltage [V]<br />

10 3<br />

10 2<br />

pd=10 Pa mm<br />

10 0<br />

pd=4 Pa mm<br />

Frequency−Gap product [GHz⋅mm]<br />

pd=2 Pa mm<br />

Figure 3.8: <strong>Multipactor</strong> susceptibility zones <strong>in</strong> low pressure argon (solid l<strong>in</strong>es)<br />

together with vacuum zones (dotted l<strong>in</strong>es) for comparison. Parameters<br />

used are: W1 = 23 eV, W2 = 1000 eV, W0 = 3.68 eV,<br />

σse,max(0) = 3 <strong>and</strong> ɛ0 = 0.<br />

3.2.4 Key f<strong>in</strong>d<strong>in</strong>gs<br />

Among the ma<strong>in</strong> results is that the friction force dom<strong>in</strong>ates the low<br />

pressure multipactor threshold for materials with a low first cross-over<br />

52<br />

10 1

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