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High Brightness Electron Beam Diagnostics and their ... - CASA

High Brightness Electron Beam Diagnostics and their ... - CASA

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length<strong>and</strong>NthenumberofparticleswithinabunchN'n2eqz)yieldsfortheexpressionofthe Henceameasureofthedegreeofself-elddominanceoversingleparticledynamicsisdeducedfrom theratioR=2eq=2D: Debyelength:<br />

R'I 2D=2~"2nIA 2IA()(~"2n) IP 2 (4.52)<br />

CollimatingthebeamwithaslitwillscaleRby,denedastheratiooftheslitrms-width(=p12) totherms-beamsize: whereisthebeamsize(assumedtoberound). ! (4.53)<br />

Therefore,inthecaseofaroundbeam,<strong>and</strong>undertheassumption

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