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Synchrotron Radiation Source R&D at BESSY II in Berlin

Synchrotron Radiation Source R&D at BESSY II in Berlin

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vertical tune shift<br />

0,07<br />

0,06<br />

0,05<br />

0,04<br />

0,03<br />

0,02<br />

0,01<br />

0,00<br />

Wiggler Implement<strong>at</strong>ion <strong>in</strong> <strong>BESSY</strong> <strong>II</strong><br />

♦ e-beam can be <strong>in</strong>jected <strong>at</strong> max. field<br />

but: strong lifetime degrad<strong>at</strong>ion<br />

♦ Nonl<strong>in</strong>ear field components are small<br />

♦ However: tune shift and β-be<strong>at</strong> disturb<br />

nonl<strong>in</strong>ear tun<strong>in</strong>g and reduce dynamic<br />

aperture, → must be compens<strong>at</strong>ed<br />

♦ Compens<strong>at</strong>ion method: tune the Q-pole<br />

pairs <strong>in</strong>dividually <strong>in</strong> all straight sections<br />

such th<strong>at</strong><br />

►<br />

- nom<strong>in</strong>al tune is restored,<br />

- β-be<strong>at</strong> is m<strong>in</strong>imized,<br />

- β function phase error is kept<br />

localized <strong>at</strong> the wiggler straight sec.<br />

Residual degrad<strong>at</strong>ion of lifetime<br />

only ~ 15%<br />

HMI-Multipole-Wiggler<br />

tune shift<br />

~ B**2<br />

0 1 2 3 4 5 6 7<br />

wiggler field [T]<br />

87,5<br />

75,0<br />

62,5<br />

50,0<br />

37,5<br />

25,0<br />

12,5<br />

0,0<br />

bet<strong>at</strong>ron frequency shift [kHz]<br />

E:user:berger:e<strong>in</strong>fahren042003:tuneshift.op<br />

β-funtion phase difference with<br />

- global correction only (red)<br />

- local tune compens<strong>at</strong>ion (black)<br />

4th N<strong>at</strong>. Congress on Particle Acceler<strong>at</strong>ors and Applic<strong>at</strong>ions / Bodrum / Turkey 30.8. – 1.9. 2010 Ernst Weihreter / HZB <strong>BESSY</strong> <strong>II</strong><br />

16

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