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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N e /N 0 [−]<br />
3<br />
2.5<br />
2<br />
1.5<br />
1<br />
<strong>Multipactor</strong> <strong>in</strong> iris<br />
σ = 1.159<br />
σ = 1.151<br />
0.5<br />
0 50 100<br />
Number <strong>of</strong> collisions<br />
150 200<br />
Figure 4.3: The growth <strong>in</strong> electron number as a function <strong>of</strong> the number <strong>of</strong><br />
gap cross<strong>in</strong>gs for two different SEY-coefficients. Parameters used:<br />
f = 1 GHz, N = 1, l = 2 mm, <strong>and</strong> WT = 2 eV.<br />
or equivalently<br />
σse > 1/γ0 > 1. (4.6)<br />
This implies that the secondary electron yield must be greater than a<br />
value that is larger than unity (1/γ0 > 1) to have growth <strong>of</strong> the number<br />
<strong>of</strong> electrons. This modified breakdown criterion is the only difference<br />
between the model considered here <strong>and</strong> the conventional resonance theory<br />
<strong>of</strong> multipactor <strong>in</strong>side a plane-parallel gap (where σse > 1 is used<br />
when determ<strong>in</strong><strong>in</strong>g the threshold). The condition for σse, Eq. (4.6), can<br />
be converted <strong>in</strong>to a range <strong>of</strong> impact energies,<br />
W1 < Wm<strong>in</strong> < Wimpact < Wmax < W2, (4.7)<br />
where the impact energies Wm<strong>in</strong> <strong>and</strong> Wmax are determ<strong>in</strong>ed by σse =<br />
1/γ0. Consequently, us<strong>in</strong>g Wm<strong>in</strong> <strong>and</strong> Wmax <strong>in</strong>stead <strong>of</strong> W1 <strong>and</strong> W2, respectively,<br />
<strong>in</strong> the parallel-plate model, multipactor regions that account<br />
for the electron losses due r<strong>and</strong>om drift can be obta<strong>in</strong>ed.<br />
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