Comments Corrections Yuris Comments about the Periodic Mode

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Comments & Corrections

Comments & Corrections

Yuri’s Comments about the Periodic Mode Justification Frank: I got an interesting question about

Yuri’s Comments about the Periodic Mode Justification Frank: I got an interesting question about why the periodic solution can be justified other than the fact that it is the only way to go forward. Yuri: The question is quite legitimate. In our defense I can say that if the distribution is matched (non-linearly!) it should be quasi-stationary with no free oscillations component. So when we are thinking of long-term evolution (which automatically means slow emittance growth) the quasi-stationary (almost) periodic approximation is the way to go. 04. 11. 19 3 D SC Kick - F. Schmidt 2

SC Tune Spreads • Yesterday’s late evening in-depth analysis that the 2 off integer

SC Tune Spreads • Yesterday’s late evening in-depth analysis that the 2 off integer resonance tune spreads were fine. • For the one case very close to the integer the following things were found: • The SUSSIX code (25 years of service!) and only in the 6 D case and in the postprocessing procedure has the nasty bug of occasionally producing zero values instead of the tunes. • Moreover, I should have used the eigenvector matrix from the Sigma. Matrix to normalize data before performing a high quality tune calculation. • Action: • Tune Figures redone • One statement tuned down • SUSSIX bug fix will come in the coming weeks ➔ Effect on some studies. 04. 11. 19 3 D SC Kick - F. Schmidt 3

Tune Spread Qx = 6. 060 A few particles locked to the integer resonance

Tune Spread Qx = 6. 060 A few particles locked to the integer resonance 04. 11. 19 3 D SC Kick - F. Schmidt 4

New Tune Spread Qx = 6. 039 04. 11. 19 3 D SC Kick

New Tune Spread Qx = 6. 039 04. 11. 19 3 D SC Kick - F. Schmidt 5

Tune Spread Qx = 6. 039 Close-Up 04. 11. 19 3 D SC Kick

Tune Spread Qx = 6. 039 Close-Up 04. 11. 19 3 D SC Kick - F. Schmidt 6

H Phase Space Qx = 6. 039 (0 Ampl. ) ~1/8 of 2 s

H Phase Space Qx = 6. 039 (0 Ampl. ) ~1/8 of 2 s 04. 11. 19 3 D SC Kick - F. Schmidt 7

H Phase Space Qx = 6. 039 (0 Ampl. and Island ) 04. 11.

H Phase Space Qx = 6. 039 (0 Ampl. and Island ) 04. 11. 19 3 D SC Kick - F. Schmidt 8