1. An Overview of Collective Effects in 3rd Generation Light Sources
At John Adams Institute, 03 February 2011, Oxford UK
R. Nagaoka, Synchrotron SOLEIL, Gif-sur-Yvette, France

2. Content: 1. Introduction 2. Induced EM self-field
3. Notion of Wake field
4. Geometric wake field and numerical (GdfidL) calculations
5. Impedance
6. Beam spectra
7. Equations of collective motions
8. Beam spectra overlap with impedance
9. Single bunch instabilities
10. Multibunch instabilities
11. Numerical methods of instability studies
12. Summary
R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

3. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

4.  What could be the origins of collective forces?
 (Resonant) interactions with self-induced EM fields (resistive-wall/geometric/CSR)
(AW Chao, “Physics of collective beam instabilities…”)
 Beam-ion interaction
(YH. Chin, “Experimental study of FBII at PLS”, BIW 2000)
R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

5.  Why do they become an issue for 3rd generation light sources?
 High average/bunch current aimed
 Small aperture all around the ring (low gap ID sections/higher magnetic fields)
10 mm gap ID (Insertion Device) chamber at SOLEIL
Vertical half aperture (standard) of some light sources
 Low emittance optics and its consequence on instability
Low dispersion  low a  Short bunch length  Wider spectra
 Stronger interactions with high frequency wakes
R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

6. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

7. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

8. (AW Chao, “Physics of collective beam instabilities…”)
R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

9. (AW Chao, “Physics of collective beam instabilities…”)
R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

10. (AW Chao, “Physics of collective beam instabilities…”)
R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

11. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

12. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

13. (From JL Laclare’s lecture note)
R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

14. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

15. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

16. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

17. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

18. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

19. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

20. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

21. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

22. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

23. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

24. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

25. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26

26. R. Nagaoka
An Overview of Collective Effects in 3rd Generation Light Sources …
At JAI, Oxford, 03 February /26