1 / 15

E. Métral (10 min)

AMPLITUDE AND POWER SPECTRA COMPARISON BETWEEN DIFFERENT TYPES OF LONGITUDINAL BUNCH PROFILES FOR THE SPS MKE KICKER HEATING. E. Métral (10 min). This is a f ollow-up of the APC presentation of Jan Uythoven on 17/09/04 (presented at RLC meeting on 01/10/04) Theory

efuru
Download Presentation

E. Métral (10 min)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. AMPLITUDE AND POWER SPECTRA COMPARISON BETWEEN DIFFERENT TYPES OF LONGITUDINAL BUNCH PROFILES FOR THE SPS MKE KICKER HEATING E. Métral (10 min) • This is a follow-up of the APC presentation of Jan Uythoven on 17/09/04 (presented at RLC meeting on 01/10/04) • Theory • Comparison with measured spectra in 2003 and 2004 (given by Jan Uythoven)

  2. APC presentation of Jan Uythoven on 17/09/04 (1/2) Bump

  3. APC presentation of Jan Uythoven on 17/09/04 (2/2) For the operational scenarios presented at APC on 03/10/03 only (afterwards real measured spectra were used)

  4. THEORY (1/5)

  5. THEORY (2/5) Bumps

  6. THEORY (3/5) The bumps disappear in the power spectra

  7. THEORY (4/5) Computation of the power loss in the case of a broad-band resonator impedance (fit used by Elena Shaposhnikova for the longitudinal impedance of 1 SPS MKE kicker, Chamonix XIII, p. 47)

  8. THEORY (5/5) Average power deposited per unit length [W/m] from theory • Parabolic amplitude density = 893 • Parabolic line density = 677 • Gaussian amplitude density = 605 • Water-bag bunch = 530  • Power (Parabolic amplitude density) = 1.48 × Power (Gaussian) • Power (Parabolic line density) = 1.12 × Power (Gaussian) • Power (Water-bag bunch) = 0.88 × Power (Gaussian)

  9. Comparison with measured spectra in 2003 and 2004 (given by Jan Uythoven) (1/6)

  10. Comparison with measured spectra in 2003 and 2004 (given by Jan Uythoven) (2/6)

  11. Comparison with measured spectra in 2003 and 2004 (given by Jan Uythoven) (3/6) The bump is well fitted here

  12. Comparison with measured spectra in 2003 and 2004 (given by Jan Uythoven) (4/6) The bump is well fitted here

  13. Comparison with measured spectra in 2003 and 2004 (given by Jan Uythoven) (5/6) Average power deposited per unit length [W/m] from measured spectra • Spectrum2003@8p4sec = 509 • Spectrum2003@16p8sec = 958 • Spectrum2004@17sec = 593 • Spectrum2004@34sec = 590  ~600 W/m for 2004, with more stable spectra

  14. Comparison with measured spectra in 2003 and 2004 (given by Jan Uythoven) (6/6) For 472 bunches, Jan finds ~600 W/m before acceleration  In good agreement with the previous estimates

  15. CONCLUSION • Good agreement between Jan and myself • The estimates of Jan are made using the real measured spectra (one cannot do better than that if the spectra measurement is reliable) • ~600 W/m are found for 472 bunches, with 1.21011 p/b, using either the measured spectrum or the measured bunch length (0.7 ns rms) assuming a Gaussian distribution • No bumps appear in the amplitude spectrum for a Gaussian bunch, but these bumps are not important for the power loss as they disappear in the power spectrum!

More Related