Case studies in space charge and plasma acceleration of charged beams

Tajima, 1979, Laser electron accelerator, Phys. Rev. Lett., 43, 267, 10.1103/PhysRevLett.43.267 Chen, 1985, Acceleration of electrons by the interaction of a bunched electron beam with a plasma, Phys. Rev. Lett., 54, 693, 10.1103/PhysRevLett.54.693 Chen, 1986, Energy transfer in the plasma wake-field accelerator, Phys. Rev. Lett., 56, 1252, 10.1103/PhysRevLett.56.1252 Leemans, 2006, GeV electron beams from a centimetre-scale accelerator, Nat. Phys., 2, 696, 10.1038/nphys418 Blumenfeld, 2007, Energy doubling of 42 GeV electrons in a metre-scale plasma wakefield accelerator, Nature, 445, 741, 10.1038/nature05538 Caldwell, 2009, Proton-driven plasma-wakefield acceleration, Nat. Phys., 5, 363, 10.1038/nphys1248 Kapchinskij, 1959, Limitations of proton beam current in a strong focusing linear accelerator associated with the beam space charge, 274 Reiser, 2008, Theory and Design of Charged Particle Beams, 10.1002/9783527622047 Low, 1958, A Lagrangian formulation of the Boltzmann–Vlasov equation for plasmas, Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci., 248, 282, 10.1098/rspa.1958.0244 Morrison, 1987, Variational principle and stability of nonmonotonic Vlasov–Poisson equilibria, Z. Naturforsch., 42a, 1115, 10.1515/zna-1987-1009 Turchetti, 2002, Mathematical models in beam dynamics, 117 A. Franchi, M. Comunian, A. Pisent, G. Turchetti, S. Rambaldi, et al., HALODYN: a 3D Poisson–Vlasov code to simulate the space charge effects in the high intensity TRASCO linac, 2002. Bergamini, 1999, The micromaps description of a beam with space charge, Il Nuovo Cimento A, 112, 429, 10.1007/BF03035854 Franchetti, 2006, Towards the description of long term self-consistent effects in space charge induced resonance trapping Franchetti Rambaldi, 2006, Accuracy analysis of a spectral Poisson solver, Proceedings of the Workshop on High Intensity Beam Dynamics Coulomb05 Workshop on High Intensity Beam Dynamics, Nucl. Instrum. Methods A, 561, 223 Turchetti, 2006, Hamiltonian maps and normal forms for intense beams, Proceedings of the Workshop on High Intensity Beam Dynamics Coulomb05 Workshop on High Intensity Beam Dynamics, Nucl. Instrum. Methods A, 561, 151 Qiang, 2004, Space-charge driven emittance growth in a 3D mismatched anisotropic beam, Phys. Rev. Lett., 92, 174801, 10.1103/PhysRevLett.92.174801 Yamaguchi, 2004, Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model, Phys. A, Stat. Mech. Appl., 337, 36, 10.1016/j.physa.2004.01.041 Bachelard, 2011, Stability of inhomogeneous states in mean-field models with an external potential, J. Stat. Mech. Theory Exp., 2011, P03022, 10.1088/1742-5468/2011/03/P03022 Arnold, 2007, Mathematical Aspects of Classical and Celestial Mechanics Morrison, 2005, Hamiltonian and Action principle formulations of plasma physics, Phys. Plasmas (1994–present), 12, 10.1063/1.1882353 Ye, 1992, Action principles for the Vlasov equation, Phys. Fluids, B Plasma Phys. (1989–1993), 4, 771, 10.1063/1.860231 Brizard, 2000, New variational principle for the Vlasov–Maxwell equations, Phys. Rev. Lett., 84, 5768, 10.1103/PhysRevLett.84.5768 Brizard, 1998, A new Lagrangian formulation for laser-plasma interactions, Phys. Plasmas (1994–present), 5, 1110, 10.1063/1.872641 A.B. Stamm, B.A. Shadwick, E.G. Evstatiev, Variational formulation of macro-particle models for electromagnetic plasma simulations, ArXiv e-prints, October 2013. Evstatiev, 2013, Variational formulation of particle algorithms for kinetic plasma simulations, J. Comput. Phys., 245, 376, 10.1016/j.jcp.2013.03.006 Hockney, 2010 Eastwood, 1991, The virtual particle electromagnetic particle-mesh method, Comput. Phys. Commun., 64, 252, 10.1016/0010-4655(91)90036-K Benedetti, 2008, ALaDyn: a high-accuracy PIC code for the Maxwell–Vlasov equations, IEEE Trans. Plasma Sci., 36, 1790, 10.1109/TPS.2008.927143 Londrillo, 2010, Charge preserving high order PIC schemes, Coulomb'09 – Ions Acceleration with High Power Lasers: Physics and Applications, Nucl. Instrum. Methods A, 620, 28 Rossi, 2012, Towards robust algorithms for current deposition and dynamic load-balancing in a GPU particle in cell code, AIP Conf. Proc., 1507, 184 Lee, 2012, Modeling asymmetric beams using higher-order phase-space moments, AIP Conf. Proc., 1507, 393 Shadwick, 2012, Hamiltonian reductions for modeling relativistic laser-plasma interactions, Commun. Nonlinear Sci. Numer. Simul., 17, 2153, 10.1016/j.cnsns.2011.05.045 Caldwell, 2013 Lotov, 2010, Simulation of proton driven plasma wakefield acceleration, Phys. Rev. Spec. Top., Accel. Beams, 13, 041301, 10.1103/PhysRevSTAB.13.041301 Kumar, 2010, Self-modulation instability of a long proton bunch in plasmas, Phys. Rev. Lett., 104, 255003, 10.1103/PhysRevLett.104.255003 Caldwell, 2011, Plasma wakefield excitation with a 24 GeV proton beam, Plasma Phys. Control. Fusion, 53, 014003, 10.1088/0741-3335/53/1/014003 R. Assmann, M. Giovannozzi, Y. Papaphilippou, F. Zimmermann, A. Caldwell, G. Xia, Generation of short proton bunches in the CERN accelerator complex, CERN-ATS-2009-050, 4 p., Sep. 2009. E. Gschwendtner, C. Bracco, B. Goddard, M. Meddahi, A. Pardons, E. Shaposhnikova, H. Timko, F. Velotti, H. Vincke, Feasibility study of the AWAKE facility at CERN, CERN-ACC-2013-0275, 4 p., May 2013. Bracco, 2013 Timko, 2013 Dawson, 1959, Nonlinear electron oscillations in a cold plasma, Phys. Rev., 113, 383, 10.1103/PhysRev.113.383 Lotov, 2011, Controlled self-modulation of high energy beams in a plasma, Phys. Plasmas (1994–present), 18, 10.1063/1.3558697 Pukhov, 2011, Phase velocity and particle injection in a self-modulated proton-driven plasma wakefield accelerator, Phys. Rev. Lett., 107, 145003, 10.1103/PhysRevLett.107.145003 Schroeder, 2011, Growth and phase velocity of self-modulated beam-driven plasma waves, Phys. Rev. Lett., 107, 145002, 10.1103/PhysRevLett.107.145002 Whittum, 1991, Electron-hose instability in the ion-focused regime, Phys. Rev. Lett., 67, 991, 10.1103/PhysRevLett.67.991 Lotov, 2012, Optimum angle for side injection of electrons into linear plasma wakefields, J. Plasma Phys., 78, 455, 10.1017/S0022377812000335 Rosenzweig, 1991, Acceleration and focusing of electrons in two-dimensional nonlinear plasma wake fields, Phys. Rev. A, 44, R6189, 10.1103/PhysRevA.44.R6189 Rosenzweig, 2004, Energy loss of a high charge bunched electron beam in plasma: simulations, scaling, and accelerating wakefields, Phys. Rev. Spec. Top., Accel. Beams, 7, 061302, 10.1103/PhysRevSTAB.7.061302 Lu, 2005, Limits of linear plasma wakefield theory for electron or positron beams, Phys. Plasmas (1994–present), 12, 10.1063/1.1905587 Rosenzweig, 2010, Plasma wakefields in the quasi-nonlinear regime, AIP Conf. Proc., 1299, 500, 10.1063/1.3520373 Rosenzweig, 2012, Plasma wakefields in the quasi-nonlinear regime: experiments at ATF, AIP Conf. Proc., 1507, 612 Londrillo, 2014, Numerical investigation of beam-driven PWFA in quasi-nonlinear regime, Proceedings of the First European Advanced Accelerator Concepts Workshop 2013, Nucl. Instrum. Methods A, 740, 236 Joshi, 2002, High energy density plasma science with an ultrarelativistic electron beam, Phys. Plasmas (1994–present), 9, 1845, 10.1063/1.1455003