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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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the FFT. It was concluded that there is a positive correlation between<br />

the modulation depth <strong>and</strong> the strength <strong>of</strong> the detected signal at the<br />

correspond<strong>in</strong>g frequency. By tak<strong>in</strong>g the time average <strong>of</strong> one <strong>of</strong> the test<br />

sequences like <strong>in</strong> Fig. 6.3 <strong>and</strong> plott<strong>in</strong>g it us<strong>in</strong>g l<strong>in</strong>ear scales on both axes,<br />

it was found that there was a more or less l<strong>in</strong>ear relationship between<br />

the <strong>in</strong>put power <strong>and</strong> the result<strong>in</strong>g multipactor noise power (cf. Fig. 6.7),<br />

which can be described by the follow<strong>in</strong>g function:<br />

Pnoise = k · (P<strong>in</strong>put − Pth) [W] P<strong>in</strong>put ≥ Pth (6.2)<br />

where k = 5.3 × 10 −11 <strong>and</strong> Pth = 25.2 W is the multipactor threshold.<br />

Noise Power [nW]<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

L<strong>in</strong>ear Plot <strong>of</strong> Noisepower vs Input Signal Power<br />

Input Signal Power [W]<br />

26 28 30 32 34 36 38 40 42 44<br />

0<br />

50 55 60 65 70 75<br />

Time (s)<br />

80 85 90 95 100<br />

Figure 6.7: Time average <strong>of</strong> the test sequence shown <strong>in</strong> Fig. 6.3 with a l<strong>in</strong>ear<br />

scale on both axes. The straight l<strong>in</strong>e has been added to show the<br />

close to l<strong>in</strong>ear relationship between <strong>in</strong>put power <strong>and</strong> noise power.<br />

Note: The <strong>in</strong>put power is <strong>in</strong>creased every 4 seconds, which is the<br />

reason for the step like behaviour.<br />

The reason why the small modulation was so noticeable <strong>in</strong> the multipactor<br />

noise (see Fig. 6.4) is that the noise signal is a function <strong>of</strong> the<br />

difference between the <strong>in</strong>put power <strong>and</strong> the multipactor threshold, i.e.<br />

no discharge noise is generated until the multipactor threshold has been<br />

reached. Furthermore, s<strong>in</strong>ce the decibel scale is a relative scale, the small<br />

<strong>in</strong>crease <strong>in</strong> absolute numbers becomes very noticeable <strong>in</strong> relation to the<br />

exist<strong>in</strong>g noise floor. As a comparison, the first small steps <strong>in</strong> Fig. 6.7,<br />

103

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