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meter<br />

phaase<br />

advance per<br />

Linac4 Dynamics y - 2<br />

Prescriptions:<br />

1. Keep zero current phase advance always below 90º, to avoid resonances<br />

22. KKeep llongitudinal i di l to transverse phase h advance d ratio i 05 0.5-0.8, 08 to avoid idemittance i<br />

exchange<br />

3. Keep a smooth variation of transverse and longitudinal phase advance per meter.<br />

4. Keep sufficient safety margin between beam radius and aperture<br />

220<br />

200<br />

180<br />

160<br />

140<br />

120<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

0 10 20 30 40 50 60 70<br />

position [m]<br />

kx<br />

ky<br />

kz<br />

4.50E-07<br />

4.00E-07<br />

3.50E-07<br />

3.00E-07<br />

2.50E-07<br />

2.00E-07<br />

100% Normalised RMS transverse emittance (PI m rad)<br />

0 10 20 30 40 50 60 70 80<br />

Transverse r.m.s. emittance and phase advance along Linac4 (RFQ-DTL-CCDTL-PIMS)<br />

42<br />

x<br />

y<br />

transition<br />

transition

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