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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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(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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