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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(cf. Fig. 2.7). When tak<strong>in</strong>g the envelope <strong>of</strong> these zones, the differences<br />
<strong>in</strong> the right boundaries <strong>of</strong> the ma<strong>in</strong> zones, between the constant <strong>in</strong>itial<br />
velocity <strong>and</strong> the constant k approaches, become negligible. This can be<br />
seen clearly <strong>in</strong> Fig. 2.7 [40]. The existence <strong>of</strong> the hybrid modes requires<br />
Figure 2.7: Vacuum multipactor with the ma<strong>in</strong> zones as well as a few hybrid<br />
zones [40]. With the envelope <strong>of</strong> the hybrid zones <strong>in</strong>cluded<br />
the resemblance between the Sombr<strong>in</strong> chart <strong>and</strong> the Hatch <strong>and</strong><br />
Willams chart (cf. Fig. 2.5) is strik<strong>in</strong>g.<br />
phase stability, just as for the classical zones discussed above. However,<br />
the width <strong>of</strong> each hybrid zone is very small <strong>and</strong> thus it is very sensitive<br />
to an <strong>in</strong>itial velocity spread. On the other h<strong>and</strong>, there are many hybrid<br />
zones very close to one other <strong>and</strong> this spread will result <strong>in</strong> a mix<strong>in</strong>g or<br />
overlapp<strong>in</strong>g <strong>of</strong> the resonances [39].<br />
2.1.3 Factors effect<strong>in</strong>g the threshold<br />
There are many different aspects that need to be considered when determ<strong>in</strong><strong>in</strong>g<br />
the multipactor threshold. The most important <strong>and</strong> most obvious<br />
ones are type <strong>of</strong> material, gap size, <strong>and</strong> amplitude <strong>and</strong> frequency<br />
<strong>of</strong> the electric field. These are all part <strong>of</strong> the basic theory as described<br />
above. Apart from these there are other more or less important factors.<br />
The supply <strong>of</strong> primary electrons does not effect the theoretical<br />
threshold, which can be determ<strong>in</strong>ed with methods described earlier <strong>in</strong><br />
this thesis. Nevertheless, a weak source <strong>of</strong> seed electrons can result <strong>in</strong><br />
an apparent higher threshold dur<strong>in</strong>g test<strong>in</strong>g. In a typical test setup for<br />
determ<strong>in</strong>ation <strong>of</strong> the breakdown amplitude, an electric field is applied<br />
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