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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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2.1.4 Methods <strong>of</strong> suppression<br />

Many <strong>of</strong> the factors mentioned <strong>in</strong> the previous section that affect the<br />

multipactor threshold can also be utilised to suppress the discharge. The<br />

without doubt easiest method <strong>of</strong> avoid<strong>in</strong>g a breakdown is to pressurise<br />

the component. The field strength required to achieve breakdown at<br />

atmospheric pressure is <strong>in</strong> general much higher than at low pressures or<br />

<strong>in</strong> vacuum. However, such a method is seldom feasible for components<br />

that will be used e.g. <strong>in</strong> space, where the external environment is a high<br />

vacuum. A small leakage can lead to slow vent<strong>in</strong>g <strong>of</strong> the component <strong>and</strong><br />

thus risk<strong>in</strong>g severe corona discharge when the pressure reaches the range<br />

where the m<strong>in</strong>imum breakdown field occurs.<br />

Another way <strong>of</strong> suppress<strong>in</strong>g multipactor is to amplitude modulate<br />

the ma<strong>in</strong> carrier [21, 41]. If both signals are s<strong>in</strong>usoidal, the total field<br />

can be written:<br />

Etot = E1 s<strong>in</strong>ω1t + E2 s<strong>in</strong> ω2t (2.23)<br />

This means that the envelope <strong>of</strong> the signal will vary accord<strong>in</strong>g to (see<br />

also Fig. 2.8):<br />

�<br />

Eenv = E2 1 + E2 2 + 2E1E2 cos (ω1 − ω2)t (2.24)<br />

When the total field strength is well above the multipactor threshold<br />

(see Fig. 2.8), the secondary electron yield will <strong>in</strong>crease quickly accord<strong>in</strong>g<br />

to Eq. (2.22). However, as soon as the voltage drops below the<br />

threshold aga<strong>in</strong>, the electron loss will be large <strong>and</strong> accord<strong>in</strong>g to Ref. [21]<br />

all electrons will be lost <strong>in</strong> just a few RF cycles. However, whether or<br />

not this is true also depends on the secondary yield properties <strong>of</strong> the<br />

electrode material. For materials with a very high maximum secondary<br />

yield, the number <strong>of</strong> electrons ga<strong>in</strong>ed while above the threshold can be<br />

greater than the losses <strong>in</strong>curred while below. In such a case, no suppression<br />

is achieved <strong>and</strong> <strong>in</strong> some cases, the discharge may even become<br />

more powerful than before the modulation carrier was added [42] (cf.<br />

Fig. 2.9). Thus <strong>in</strong> order to successfully suppress a multipactor discharge<br />

us<strong>in</strong>g amplitude modulation, it is vital that the material has a low maximum<br />

secondary yield (preferably less than about 1.5). Due to the risk<br />

<strong>of</strong> contam<strong>in</strong>ation, which can greatly <strong>in</strong>crease the maximum secondary<br />

yield, great care should be taken to assure a high level <strong>of</strong> cleanl<strong>in</strong>ess if<br />

this method <strong>of</strong> suppression is to be used.<br />

To AM-modulate the carrier is probably not feasible <strong>in</strong> most cases, as<br />

it would require extra hardware to produce the AM-signal. However, the<br />

20

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