Abstract
Using the Lagrangian equation for the envelopes of the longitudinal motion of a non-relativistic charged particle bunch in the field of a traveling wave, we obtained solutions to the problem of optimizing this motion. The pronounced extrema of the bunch size and its spectrum were found and confirmed by test calculations. The technique developed and described in the paper can be of high interest for solving the problems of optimizing the dynamics of charged particle beams in resonant linear accelerators for ions at low energies.
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REFERENCES
V. K. Baev, “Longitudinal dynamics of a nonrelativistic bunch of charged particles in a traveling wave field,” Tech. Phys. Lett. 39, 193–195 (2013).
V. K. Baev, B. Y. Bogdanovich, and A. V. Nesterovich, “Analytical description of the charged particle dynamics in the field of a spherical magnetic dipole,” Tech. Phys. 85, 1063 (2015).
V. K. Baev, “Dynamics of a charged-particle bunch in a travelling wave field with focusing by a uniform magnetic field,” At. Energy 121, 56 (2016).
V. K. Baev, “Lagrange equations of envelopes,” J. Phys.: Conf. Ser. 941, 012087 (2017). http://iopscience.iop.org/article/10.1088/1742-6596/941/1/012087.
V. K. Baev, Theory of Oscillations (NRNU MIFI, Moscow, 2015) [in Russian].
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Baev, V.K., Bogdanovich, B.Y. & Buyanov, G.O. Optimizing the Longitudinal Dynamics of a Non-Relativistic Charged Particle Bunch in the Field of a Traveling Wave. Phys. Part. Nuclei Lett. 17, 243–245 (2020). https://doi.org/10.1134/S1547477120020028
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DOI: https://doi.org/10.1134/S1547477120020028