Skip to main content
SpringerLink
Log in

On the relation between the original and difference trajectories of beam in linear accelerators

  • Published:
Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

The relation between the original and difference trajectories of beam in linear accelerators is considered. A new integral equation for beam trajectory was obtained and a recurrent analytical solution was given for determination of the central trajectory on the basis of information about the difference trajectory. The results of numerical simulation for the undulator section of the European X-Ray FEL are presented.

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

Similar content being viewed by others

References

  1. Kubo, K., et al., ICFA Beam Dyn. Newsletter, 2007, vol. 44.

  2. Kubo, K., Phys. Rev. ST Accel. Beams, 2011, vol. 14, p. 014401.

    Article  ADS  Google Scholar 

  3. Amatuni, G., Izvestiya NAN Armenii, Fizika, 2005, vol. 40, p. 416.

    Google Scholar 

  4. Brinkmann, R., Decking, W., et al., The European X-Ray Free-Electron Laser (XFEL) Technical design report, DESY 2006-097, 2007.

    Google Scholar 

  5. Zimmermann, F., et al., Linac Coherent Light Source (LCLS) Design Study Report, SLAC-R-521, 1998.

    Google Scholar 

  6. Tenenbaum, P. and Raubenheimer, T., Phys. Rev. ST Accel. Beams, 2000, vol. 3, p. 052801.

    Article  ADS  Google Scholar 

  7. Raubenheimer, T. and Ruth, R., NIM (A), 1991, vol. 302, p. 191.

    Article  ADS  Google Scholar 

  8. Schulte, D. and Raubenheimer, T., Proc. 1999 Particle Accelerator Confer., New York, 1999, p. 3441.

    Google Scholar 

  9. Raubenheimer, T. and Tenenbaum, P., Brief Review of Linear Collider Beam-Based Alignment for Linacs, LCC-0129, SLAC-TN-03-071, 2004.

    Google Scholar 

  10. Wiedemann, H., Particle Accelerator Physics — I. Basic Principles and Linear Beam Dynamics, Springer, 1999.

    Google Scholar 

  11. Borland, M., Elegant: A Flexible SDDS-compliant Code for Accelerator Simulation, APS LS-287, 2000.

    Book  Google Scholar 

  12. Strang, G., Linear Algebra and its Applications, Harcourt, Orland, 1988.

    Google Scholar 

  13. Polyanin, A. and Manzhirov. A., Handbook of Integral Equations, Boca Raton: CRC Press, 1998.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CANDLE Synchrotron Research Institute, Yerevan, Armenia

    A. A. Sargsyan, G. A. Amatuni, V. V. Sahakyan & V. M. Tsakanov

Authors
  1. A. A. Sargsyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. A. Amatuni
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Sahakyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. M. Tsakanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Sargsyan.

Additional information

Original Russian Text © A.A. Sargsyan, G.A. Amatuni, V.V. Sahakyan, V.M. Tsakanov, 2015, published in Izvestiya NAN Armenii, Fizika, 2015, Vol. 50, No. 1, pp. 3–13.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sargsyan, A.A., Amatuni, G.A., Sahakyan, V.V. et al. On the relation between the original and difference trajectories of beam in linear accelerators. J. Contemp. Phys. 50, 1–8 (2015). https://doi.org/10.3103/S1068337215010016

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068337215010016

Keywords

Search

Navigation