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An Introduction to the Ion-Optics of Magnet Spectrometers

An Introduction to the Ion-Optics of Magnet Spectrometers

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Emittance ε measurement<br />

by tuning a quadrupole<br />

Lee, p. 55<br />

The emittance ε can also be<br />

determined with a quadrupole<br />

and a viewer at distance L.<br />

x max =<br />

σ 11 (1 + σ 12 L/ σ 11 − L g) + (εL) 2 /σ 22<br />

(13)<br />

g =<br />

dBz/dx ∗ l<br />

Bρ<br />

(Quadr. field strength<br />

l = eff. field length)<br />

(14)<br />

L = Distance between quadrupole and<br />

beam pr<strong>of</strong>ile moni<strong>to</strong>r<br />

Take minimum 3 measurements <strong>of</strong><br />

x max (g) and determine Emittance ε

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