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@inproceedings{barminova:ipac2021-tupab136,
author = {H.Y. Barminova and B. Kak},
title = {{On Nonlinear Electron Beam Dynamics in a Plasma Environment}},
booktitle = {Proc. IPAC'21},
pages = {1707--1709},
eid = {TUPAB136},
language = {english},
keywords = {plasma, electron, emittance, linear-dynamics, wakefield},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-TUPAB136},
url = {https://jacow.org/ipac2021/papers/tupab136.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB136},
abstract = {{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).}},
}