Hosing and self-modulation competition in self-modulated plasma acceleration

ORAL

Abstract

It was recently proposed that large amplitude plasma waves could be resonantly excited by the self-modulation instability (SMI) of long particle bunches [Kumar, PRL 104 255003 (2010)]. Best conditions for particle acceleration are met after the saturation of the SMI when the driver and wake phase velocities are similar. It is therefore crucial to understand whether beam breakup due to the growth of the hosing instability (HI) can occur once the SMI has saturated. Here we show analytically and numerically that the HI is suppressed after the saturation of the SMI. We find that each self-modulated beamlet centroid performs harmonic betatron oscillations driven by the transverse wake associated with the preceding beamlets. Hence, resonances between beamlet centroids are avoided in the linear regime as the wake amplitude grows along the bunch, leading to different betatron frequencies for different beamlets. This suppression mechanism is analogous to the BNS damping [Balakin et al, Proc. 12th Int. Conf. High Energy Accel., Fermilab, 1983, p.119] used in conventional linear accelerators. These findings are confirmed by direct numerical solutions of the model. 3D particle-in-cell simulations confirm our predictions for a wide range of conditions.

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Authors

  • Jorge Vieira

    GoLP/IPFN, Instituto Superior T\'ecnico, Lisbon, Portugal, GoLP/Instituto de Plasmas e Fus\~ao Nuclear - Laborat\'orio Associado, Instituto Superior T\'ecnico, Lisbon, Portugal, Instituto de Plasmas e Fus\~ao Nuclear-Laborat\'orio Associado, Instituto Superior T\'ecnico, Instituto Superior Tecnico, Lisboa, Portugal

  • Ricardo Fonseca

    GoLP/IPFN - IST; DCTI, ISCTE, GoLP/Instituto de Plasmas e Fusao Nuclear - LA, Instituto Superior Tecnico, Portugal, DCTI, ISCTE, Lisbon University Institute, Portugal, GoLP/Instituto de Plasmas e Fus\~ao Nuclear - Laboratorio Associado, Instituto Superior Tecnico, Lisbon, Portugal, Departamento de Ci\^encias e Tecnologias da Informa\c{c}\~ao, Instituto Superior de Ci\^encias do Trabalho e da Empresa, Lisbon, Portugal, GoLP/IPFN, Instituto Superior T\'ecnico, ISCTE-IUL, DCTI, ISCTE, Lisbon University Institute

  • Warren Mori

    UCLA, (UCLA), University of California, Los Angeles, University of California at Los Angeles, Department of Physics and Astronomy, UCLA, University of California Los Angeles

  • Patric Muggli

    Max Planck Institute for Physics, MPI, Max Plank Institute for Physics, Munich, Max Planck Institute for Physics, Munich, Germany

  • Luis Silva

    GoLP/IPFN - IST, GoLP/Instituto de Plasmas e Fusao Nuclear - LA, Instituto Superior Tecnico, Portugal, GoLP/IPFN, Instituto Superior T\'ecnico, Lisbon, Portugal, GoLP/Instituto de Plasmas e Fus\~ao Nuclear - Laboratorio Associado, Instituto Superior Tecnico, Lisbon, Portugal, GoLP/Instituto de Plasmas e Fus\~ao Nuclear - Laborat\'orio Associado, Instituto Superior T\'ecnico, Lisbon, Portugal, Instituto Superior T\'ecnico - GoLP/Instituto de Plasmas e Fusao Nuclear, Instituto de Plasmas e Fus\~ao Nuclear-Laborat\'orio Associado, Instituto Superior T\'ecnico, Instituto Superior Tecnico, Lisboa Portugal, GoLP, Instituto Superior T\'ecnico