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TY - CONF AU - Barminova, H.Y. AU - Kak, B. ED - Liu, Lin ED - Byrd, John M. ED - Neuenschwander, Regis T. ED - Picoreti, Renan ED - Schaa, Volker R. W. TI - On Nonlinear Electron Beam Dynamics in a Plasma Environment J2 - Proc. of IPAC2021, Campinas, SP, Brazil, 24-28 May 2021 CY - Campinas, SP, Brazil T2 - International Particle Accelerator Conference T3 - 12 LA - english AB - The nonlinear dynamics of an electron beam propagating in a low-density plasma is investigated. The beam envelope equation is obtained analytically for the case of an axisymmetric beam using a model approximation close to the Kapchinsky-Vladimirsky model. Solutions of the envelope equation are presented for various initial conditions (beam current, initial beam radius, transverse beam emittance). PB - JACoW Publishing CP - Geneva, Switzerland SP - 1707 EP - 1709 KW - plasma KW - electron KW - emittance KW - linear-dynamics KW - wakefield DA - 2021/08 PY - 2021 SN - 2673-5490 SN - 978-3-95450-214-1 DO - doi:10.18429/JACoW-IPAC2021-TUPAB136 UR - https://jacow.org/ipac2021/papers/tupab136.pdf ER -