Skip to main content
SpringerLink
Log in

Analysis of the Dynamics of a Beam with Elliptical Cross-Section in a Solenoid

  • ELEMENTARY PARTICLES AND FIELDS
  • Experiment
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

The behavior of a beam with elliptical cross-section and arbitrary partial emittances in a solenoid is studied analytically and numerically. The peculiarities of the coupling of the beam oscillations in longitudinal magnetic field are investigated depending on the input beam parameters and the characteristics of magnetic field, the modified KV-model being used. The calculation results are presented which describe the evolution of the beam parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

REFERENCES

  1. C. Adolphsen, D. Angal-Kalinin, T. Arndt, M. Arnold, R. Assmann, B. Auchmann, K. Aulenbacher, A. Ballarino, B. Baudouy, P. Baudrenghien, M. Benedikt, S. Bentvelsen, A. Blondel, A. Bogacz, F. Bossi, L. Bottura, S. Bousson, et al., CERN Yellow Reports: Monographs, CERN-2022-001 (2022).

  2. P. Craievich, R. Zennaro, M. Schaer, et al., in Proceedings of the 13th International Particle Accelerator Conference IPAC’22, Bangkok, Thailand, 12–17 June 2022, p. 2007.

  3. Ch. Steinbach, in Proceedings of the 3rd European Particle Accelerator Conference (Berlin, 1992).

  4. E. Bulyak, V. Mytrochenko, I. Chaikovska, V. Kubytskyi, R. Chehab, and F. Alharthi, https://arxiv.org/abs/2207.06126.

  5. M. V. Kuzelev, O. T. Loza, A. A. Rukhadze, P. C. Strelkov, and A. G. Shvarkunets, Fiz. Plasmy 27, 710 (2001).

    Google Scholar 

  6. E. E. Barminova and A. S. Chikhachev, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 33, 366 (1990).

    Google Scholar 

  7. E. E. Barminova and A. S. Chikhachev, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 34, 1041 (1991).

    Google Scholar 

  8. V. V. Kushin, Tech. Phys. 18, 2262 (1973).

    Google Scholar 

  9. V. P. Murin, in Proceedings of All-Union Workshop on Charged Particle Accelerators (Nauka, Moscow, 1974).

  10. E. E. Barminova and A. S. Chikhachev, Radiophys. Quant. Electron. 34, 818 (1991).

    Article  ADS  Google Scholar 

  11. E. E. Barminova and A. S. Chikhachev, Radiophys. Quant. Electron. 33, 277 (1990).

    Article  ADS  Google Scholar 

  12. E. A. Perelstein and G. D. Shirkov, Tech. Phys. 48, 249 (1978).

    Google Scholar 

  13. H. Y. Barminova and A. S. Chikhachev, Phys. Rev. ST Accel. Beams 16, 050402 (2013).

    Article  ADS  Google Scholar 

  14. E. E. Barminova, PhD Thesis (Mosc. Eng. Phys. Inst., Moscow, 2001).

  15. I. M. Kapchinsky and V. V. Vladimirsky, in Proceedings of the Conference on High Energy Accelerators and Instrumentation (CERN, Geneva, 1959), p. 274.

  16. I. M. Kapchinsky, Theory of Linear Resonance Accelerators: Particle Dynamics (Energoatomizdat, Moscow, 1982) [in Russian].

    Google Scholar 

  17. https://matlab.mathworks.com.

Download references

ACKNOWLEDGMENTS

The publication has been supported by NRNU MEPhI Program ‘‘Priority 2030’’. This paper has been partly supported by the RUDN University Strategic Academic Leadership Program.

Author information

Authors and Affiliations

  1. National Research Nuclear University MEPhI, Moscow, Russia

    H. Y. Barminova

  2. Peoples Friendship University of Russia, Moscow, Russia

    H. Y. Barminova & B. Kak

Authors
  1. H. Y. Barminova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Kak
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. Y. Barminova.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Barminova, H.Y., Kak, B. Analysis of the Dynamics of a Beam with Elliptical Cross-Section in a Solenoid. Phys. Atom. Nuclei 86, 557–561 (2023). https://doi.org/10.1134/S1063778823040075

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778823040075

Search

Navigation