Abstract
Longitudinal beam dynamics is investigated in a traveling-wave field with variable synchronous phase assumed to be a control function. The dynamic controlled process is considered to be a complex of synchronous particle motion and the motions of particles of a beam. In generalization, the model is represented by a system of integro-differential equations. The problem of joint optimization of program motion and the ensemble of perturbed motions is formulated. Numerical simulation of beam dynamics is performed; the example of optimization is considered.
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Acknowledgments
We are deeply grateful to Prof. D.A. Ovsyannikov and A.P. Durkin for useful advice and to graduate student A.Yu. Zhdanova for help in calculations.
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Russian Text © The Author(s), 2019, published in Yadernaya Fizika i Inzhiniring, 2019, Vol. 10, No. 2.
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Rubtsova, I.D., Vladimirova, L.V., Edamenko, N.S. et al. Intense Beam Dynamics Study in Alvarez Accelerator. Phys. Atom. Nuclei 82, 1527–1531 (2019). https://doi.org/10.1134/S106377881911019X
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DOI: https://doi.org/10.1134/S106377881911019X