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Intense Beam Dynamics Study in Alvarez Accelerator

  • Charged Particle Accelerators for Nuclear Technologies
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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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References

  1. B. I. Bondarev, A. P. Durkin, and A. D. Ovsvannikov, in Proceedings of the PAC’99 (IEEE, 1999), Vol. 4, p. 2808.

  2. A. G. Golovkina, I. V. Kudinovich, and D. A. Ovsyannikov, Vopr. At. Nauki Tekh. 86, 328 (2013).

    Google Scholar 

  3. I. M. Kapchinsky, Theory of Linear Resonance Accelerators: Beam Dynamics (Energoizdat, Moscow, 1982) [in Russian].

    Google Scholar 

  4. A. D. Ovsyannikov, D. A. Ovsyannikov, M. Yu. Balabanov, and S.-L. Chung, Int. J. Mod. Phys. A 24, 941 (2009).

    Article  ADS  Google Scholar 

  5. A. D. Ovsyannikov and A. Y. Shirokolobov, in Proceedings of the RuPAC’12, St. Pet ersburg, 2012, p. 355. http://www.JACoW.org.

  6. A. D. Ovsyannikov, D. A. Ovsyannikov, V. V. Altsybeyev, A. P. Durkin, and V. G. Papkovich, Vopr. At. Nauki Tekh. 91, 116 (2014).

    Google Scholar 

  7. A. D. Ovsyannikov, Mathematical Models of Beam Dynamics Optimization (VVM, St. Pet ersburg, 2014) [in Russian].

    Google Scholar 

  8. D. A. Ovsyannikov, A. D. Ovsyannikov, M. F. Vorogushin, et al., Nucl. Instrum. Met hods Phys. Res., Sect. A 558, 11 (2006).

    Article  ADS  Google Scholar 

  9. D. A. Ovsyannikov, in Proceedings of the RuPAC’12, St. Pet ersburg, 2012, p. 68. http://www.JACoW.org.

  10. S. M. Polozov and A. D. Fertman, At. Energy 113, 192 (2013).

    Article  Google Scholar 

  11. I. D. Rubtsova and E. N. Suddenko, in Proceedings of the RuPAC’12, St. Pet ersburg, 2012, p. 367. http://www.JACoW.org.

  12. I. D. Rubtsova, in Proceedings of the RuPAC’14, Obninsk, 2014, p. 66. http://www.JACoW.org.

  13. I. D. Rubtsova, J. Phys.: Conf. Ser. 747, 012074 (2016). http://iopscience.iop.org/1742-6596/747/1/012074.

    Google Scholar 

  14. I. D. Rubtsova and D. A. Ovsyannikov, J. Phys.: Conf. Ser. 941, 012092 (2016). http://iopscience.iop.org/article/10.1088/1742-6596/941/1/012092.

    Google Scholar 

  15. L. V. Vladimirova, J. Phys.: Conf. Ser. 747, 012070 (2016). http://iopscience.iop.org/1742-6596/747/1/012070.

    Google Scholar 

  16. L. V. Vladimirova, I. D. Rubtsova, and N. S. Edamenko, Cybern.Phys. 7, 152 (2018).

    Google Scholar 

  17. L. V. Vladimirova and I. D. Rubtsova, in Proceedings of the RuPAC’16, St. Pet ersburg, 2016, p. 367. http://www.JA-CoW.org.

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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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Correspondence to I. D. Rubtsova.

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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

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