Development of the self-modulation instability of a relativistic proton bunch in plasma

Author:

Verra L.1ORCID,Wyler S.2,Nechaeva T.3ORCID,Pucek J.3ORCID,Bencini V.14ORCID,Bergamaschi M.3ORCID,Ranc L.3,Zevi Della Porta G.13ORCID,Gschwendtner E.1ORCID,Muggli P.3,Agnello R.5ORCID,Ahdida C. C.1,Amoedo C.1,Andrebe Y.5,Apsimon O.67ORCID,Apsimon R.78ORCID,Arnesano J. M.1,Blanchard P.5ORCID,Burrows P. N.4ORCID,Buttenschön B.9ORCID,Caldwell A.3ORCID,Chung M.10ORCID,Cooke D. A.11,Davut C.67ORCID,Demeter G.12ORCID,Dexter A. C.78ORCID,Doebert S.1ORCID,Elverson F. A.1,Farmer J.3ORCID,Fasoli A.5ORCID,Fonseca R.1ORCID,Furno I.5ORCID,Gorn A.1ORCID,Granados E.1ORCID,Granetzny M.13ORCID,Graubner T.14,Grulke O.19ORCID,Guran E.1,Henderson J.27ORCID,Kedves M. Á.12,Kim S.-Y.110,Kraus F.14ORCID,Krupa M.1ORCID,Lefevre T.1ORCID,Liang L.67,Liu S.15,Lopes N.16ORCID,Lotov K.1ORCID,Calderon M. Martinez1ORCID,Mazzoni S.1ORCID,Moon K.10ORCID,Morales Guzmán P. I.3ORCID,Moreira M.16ORCID,Pakuza C.4ORCID,Pannell F.11ORCID,Pardons A.1ORCID,Pepitone K.17ORCID,Poimendidou E.1,Pukhov A.18ORCID,Ramjiawan R. L.14ORCID,Rey S.1,Rossel R.1ORCID,Saberi H.67ORCID,Schmitz O.13ORCID,Senes E.1ORCID,Silva F.19ORCID,Silva L.16ORCID,Spear B.4ORCID,Stollberg C.5ORCID,Sublet A.1,Swain C.27,Topaloudis A.1ORCID,Torrado N.1ORCID,Tuev P.1ORCID,Turner M.1ORCID,Velotti F.1,Verzilov V.15ORCID,Vieira J.16,Weidl M.20ORCID,Welsch C.27ORCID,Wendt M.1ORCID,Wing M.11ORCID,Wolfenden J.27ORCID,Woolley B.1,Xia G.67ORCID,Yarygova V.1ORCID,Zepp M.13ORCID,

Affiliation:

1. CERN 1 , 1211 Geneva 23, Switzerland

2. Ecole Polytechnique Federale de Lausanne (EPFL), Laboratory of Particle Accelerator Physics (LPAP) 2 , 1015 Lausanne, Switzerland

3. Max Planck Institute for Physics 3 , 80805 Munich, Germany

4. John Adams Institute, Oxford University 4 , Oxford OX1 3RH, United Kingdom

5. Ecole Polytechnique Federale de Lausanne (EPFL), Swiss Plasma Center (SPC) 5 , 1015 Lausanne, Switzerland

6. University of Manchester M13 9PL 6 , Manchester M13 9PL, United Kingdom

7. Cockcroft Institute 7 , Warrington WA4 4AD, United Kingdom

8. Lancaster University 8 , Lancaster LA1 4YB, United Kingdom

9. Max Planck Institute for Plasma Physics 9 , 17491 Greifswald, Germany

10. UNIST 10 , Ulsan 44919, South Korea

11. UCL 11 , London WC1 6BT, United Kingdom

12. Wigner Research Centre for Physics 12 , 1121 Budapest, Hungary

13. University of Wisconsin 17 , Madison, Wisconsin 53706, USA

14. Philipps-Universität Marburg 18 , 35032 Marburg, Germany

15. TRIUMF 21 , Vancouver, British Columbia V6T 2A3, Canada

16. GoLP/Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Universidade de Lisboa 14 , 1049-001 Lisbon, Portugal

17. Angstrom Laboratory, Department of Physics and Astronomy 22 , 752 37 Uppsala, Sweden

18. Heinrich-Heine-Universität Düsseldorf 23 , 40225 Düsseldorf, Germany

19. INESC-ID, Instituto Superior Técnico, Universidade de Lisboa 24 , 1049–001 Lisbon, Portugal

20. Max Planck Institute for Plasma Physics 26 , 80805 Garching, Germany

Abstract

Self-modulation is a beam–plasma instability that is useful to drive large-amplitude wakefields with bunches much longer than the plasma skin depth. We present experimental results showing that, when increasing the ratio between the initial transverse size of the bunch and the plasma skin depth, the instability occurs later along the bunch, or not at all, over a fixed plasma length because the amplitude of the initial wakefields decreases. We show cases for which self-modulation does not develop, and we introduce a simple model discussing the conditions for which it would not occur after any plasma length. Changing bunch size and plasma electron density also changes the growth rate of the instability. We discuss the impact of these results on the design of a particle accelerator based on the self-modulation instability seeded by a relativistic ionization front, such as the future upgrade of the Advanced WAKefield Experiment.

Funder

National Research Foundation of Korea

National Office for Research, Development and Innovation

Publisher

AIP Publishing

Subject

Condensed Matter Physics

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