3rd harmonic Landau cavity system at Max III - 16th ESLS RF Meeting
3rd harmonic Landau cavity system at Max III - 16th ESLS RF Meeting
3rd harmonic Landau cavity system at Max III - 16th ESLS RF Meeting
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<strong>Landau</strong> <strong>cavity</strong> beam interaction<br />
Total voltage seen by an electron<br />
V φ = V rr sin φ + φ s<br />
+ V L sin nφ + φ L<br />
For a passive <strong>Landau</strong> <strong>cavity</strong><br />
– Harmonic <strong>cavity</strong> voltage: V L = I R ss F cos (ψ) (R ss in “linac def.”)<br />
– Tuning angle: ψ = aaaaaa 2 Q f rrr−n f rr<br />
frrr<br />
– Harmonic phase: φ L = ψ − π 2 − θ<br />
• Constant parameters, determined before hand: V rr , R ss , Q, f rrr , f rr<br />
• Fourier amplitude F and Fourier phase θ derived from bunch shape<br />
A. Hofmann, S. Myers, Beam dynamics in a double <strong>RF</strong> <strong>system</strong>, 1980, CERN-ISR-TH-<strong>RF</strong>-80-26, 728.<br />
L. H. Chang et al., Effects of the <strong>Landau</strong> <strong>cavity</strong> on the electron beam, Proceedings of PAC 1997, 1691.<br />
J. M. Byrd, M. Georgsson, Lifetime increase using passive <strong>harmonic</strong> cavities in synchrotron light sources, Phys. Rev. Special Topics – Acc. and Beams, vol. 4, Iss. 3, 030701.<br />
<strong>ESLS</strong> <strong>RF</strong> meeting 2012 – Alba, Barcelona – Jonas Breunlin 5
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