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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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<strong>and</strong> yellow areas <strong>in</strong>dicate that a similar amount <strong>of</strong> power is deposited<br />

on both conductors <strong>and</strong> thus the double-sided scenario dom<strong>in</strong>ates.<br />

G<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0.2 0.4 0.6 0.8 1 1.2 1.4 1.6<br />

Z/Z (Z =50 Ω)<br />

0 0<br />

Figure 5.9: Ratio <strong>of</strong> power deposited on the <strong>in</strong>ner <strong>and</strong> outer conductors due<br />

to electron impacts, logarithmic scale log 10(P<strong>in</strong>ner/Pouter). The<br />

same parameters are used as <strong>in</strong> Fig. 5.8.<br />

S<strong>in</strong>ce the theoretically obta<strong>in</strong>ed po<strong>in</strong>ts agree <strong>in</strong> general with the PICsimulations,<br />

this confirms the validity <strong>of</strong> the scal<strong>in</strong>g laws, Eqs. (5.19) <strong>and</strong><br />

(5.20). The two different types <strong>of</strong> modes for s<strong>in</strong>gle-sided discharge, one<br />

with a phase α ≈ 0 <strong>and</strong> the other with α ≈ π/4 can also be seen. The<br />

former type <strong>of</strong> mode is discont<strong>in</strong>ued before reach<strong>in</strong>g the first dashed l<strong>in</strong>e<br />

from the right h<strong>and</strong> side <strong>and</strong> the latter before the other dashed l<strong>in</strong>e <strong>in</strong><br />

Fig. 5.7. This is also evident <strong>in</strong> the PIC-data, especially for values <strong>of</strong> G<br />

between 30 <strong>and</strong> 40 <strong>in</strong> Fig. 5.9 where they are fairly well separated <strong>and</strong><br />

only the lower <strong>of</strong> the paired b<strong>and</strong>s extend <strong>in</strong>to the region between the<br />

dashed l<strong>in</strong>es, as predicted.<br />

In Figs. 5.8 <strong>and</strong> 5.9 the multipactor threshold can not be identified,<br />

s<strong>in</strong>ce the oscillatory velocity is kept constant. In Figs. 5.10 <strong>and</strong> 5.11,<br />

however, the oscillatory velocity has been swept for different G-values<br />

while keep<strong>in</strong>g the ratio Ri/Ro constant <strong>and</strong> equal to 0.7, i.e. Z = 21.4 Ω<br />

(Z/Z0 = 0.428). Each figure is produced for a different maximum SEY.<br />

When σse,max is low, the ability to compensate for losses is weak <strong>and</strong> the<br />

zones are well def<strong>in</strong>ed <strong>and</strong> fairly narrow (cf. Fig. 5.10). With <strong>in</strong>creas<strong>in</strong>g<br />

1<br />

0.5<br />

0<br />

−0.5<br />

−1<br />

−1.5<br />

−2<br />

−2.5<br />

85

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