Multipactor in Low Pressure Gas and in ... - of Richard Udiljak
Multipactor in Low Pressure Gas and in ... - of Richard Udiljak
Multipactor in Low Pressure Gas and in ... - of Richard Udiljak
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Voltage [V]<br />
10 2<br />
µ=0<br />
µ=0.75<br />
10 0<br />
Frequency − Gap product [GHz⋅mm]<br />
µ=0.75<br />
µ=0<br />
Vacuum multipactor<br />
Figure 3.11: <strong>Multipactor</strong> thresholds <strong>in</strong> low pressure argon for the two lowest<br />
order modes (N = 1 <strong>and</strong> N = 3) with µ = 0.75 <strong>and</strong> µ = 0<br />
respectively. Parameters used are: W1 = 23 eV, W0 = 3.68 eV,<br />
σse,max(0) = 3, ɛ0 = 0, pd = 15 Pa·mm for N = 1, <strong>and</strong> pd =<br />
7 Pa·mm for N = 3.<br />
directly from the vacuum threshold without show<strong>in</strong>g any maximum <strong>and</strong><br />
the same behaviour is seen <strong>in</strong> Figs. 3.9 <strong>and</strong> 3.10. Even with a low W1,<br />
where the contribution <strong>of</strong> electrons from collisional ionisation is low, a<br />
monotonically decreas<strong>in</strong>g threshold is obta<strong>in</strong>ed. The cause <strong>of</strong> this dist<strong>in</strong>ct<br />
lowered threshold is the partial thermalisation <strong>of</strong> the electrons due<br />
to the collisions. The velocity spread results <strong>in</strong> a total impact velocity,<br />
which is greater than the drift velocity alone <strong>and</strong> thus for the same<br />
secondary electron emission, a lowered impact drift velocity is possible.<br />
Even though the friction force requires a higher voltage to achieve the<br />
same impact drift velocity, the thermalisation effect dom<strong>in</strong>ates, with a<br />
lowered threshold as a result. This becomes clear <strong>in</strong> Fig. 3.11, where it is<br />
apparent that it is not the electrons from ionisation that constitute the<br />
ma<strong>in</strong> reason for a decreased threshold, rather it is a consequence <strong>of</strong> the<br />
partial thermalisation. In the case with a high W1, the thermalisation<br />
effect is also important, but without the contribution from collisional<br />
ionisation, the behaviour would not be the same, which can be seen <strong>in</strong><br />
Fig. 3.12.<br />
To summarise the key f<strong>in</strong>d<strong>in</strong>gs from the more advanced model, it<br />
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