- Physical Review Journals
All JournalsPhysics Magazine

Physical Review Accelerators and Beams

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 3.0 License. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Gain length fitting formula for free-electron lasers with strong space-charge effects

G. Marcus, E. Hemsing, and J. Rosenzweig

  • Particle Beam Physics Laboratory, Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, California 90095, USA

PDF

Phys. Rev. ST Accel. Beams 14, 080702 – Published 23 August, 2011

DOI: https://doi.org/10.1103/PhysRevSTAB.14.080702

Abstract

We present a power-fit formula, obtained from a variational analysis using three-dimensional free-electron laser theory, for the gain length of a high-gain free-electron laser’s fundamental mode in the presence of diffraction, uncorrelated energy spread, and longitudinal space-charge effects. The approach is inspired by the work of Xie [Nucl. Instrum. Methods Phys. Res., Sect. A 445, 59 (2000)], and provides a useful shortcut for calculating the gain length of the fundamental Gaussian mode of a free-electron laser having strong space-charge effects in the 3D regime. The results derived from analytic theory are in good agreement with detailed numerical particle simulations that also include higher-order space-charge effects, supporting the assumptions made in the theoretical treatment and the variational solutions obtained in the single-mode limit.

View figure in article

Article Text

References (22)

  1. R. Bonifacio, C. Pellegrini, and L. M. Narducci, Opt. Commun. 50, 373 (1984).
  2. M. Xie, Nucl. Instrum. Methods Phys. Res., Sect. A 445, 59 (2000).
  3. P. Emma et al., Nat. Photon. 4, 641 (2010).
  4. E. Jerby and A. Gover, IEEE J. Quantum Electron. 21, 1041 (1985).
  5. E. Jerby and A. Gover, Phys. Rev. Lett. 63, 864 (1989).
  6. H. Freund, Nucl. Instrum. Methods Phys. Res., Sect. A 331, 496 (1993).
  7. A. Murokh et al., Phys. Rev. E 67, 066501 (2003).
  8. J. F. Schultz, M. J. Lavan, E. W. Pogue, and T. W. Meyer, Nucl. Instrum. Methods Phys. Res., Sect. A 318, 9 (1992).
  9. S. Benson et al., in Proceedings of the 26th International Free Electron Laser Conference, Trieste, Italy (2004), pp. 229–232.
  10. T. Watanabe et al., in Proceedings of the 27th International Free Electron Laser Conference, Palo Alto, CA (2005), pp. 320–323.
  11. D. Nguyen, in Proceedings of Linear Accelerator Conference 2006, Knoxville, Tennessee (2006), pp. 205–207.
  12. G. Geloni, E. Saldin, E. Schneidmiller, and M. Yurkov, Nucl. Instrum. Methods Phys. Res., Sect. A 554, 20 (2005).
  13. A. Marinelli and J. B. Rosenzweig, Phys. Rev. ST Accel. Beams 13, 110703 (2010).
  14. L. Serafini and J. B. Rosenzweig, Phys. Rev. E 55, 7565 (1997).
  15. E. L. Saldin, E. A. Schneidmiller, and M. V. Yurkov, Nucl. Instrum. Methods Phys. Res., Sect. A 475, 86 (2001).
  16. E. L. Saldin, E. A. Schneidmiller, and M. V. Yurkov, Opt. Commun. 97, 272 (1993).
  17. E. Hemsing, A. Marinelli, S. Reiche, and J. Rosenzweig, Phys. Rev. ST Accel. Beams 11, 070704 (2008).
  18. S. Reiche, Nucl. Instrum. Methods Phys. Res., Sect. A 429, 243 (1999).
  19. M. Xie and D. A. G. Deacon, Nucl. Instrum. Methods Phys. Res., Sect. A 250, 426 (1986).
  20. J. Murphy, C. Pellegrini, and R. Bonifacio, Opt. Commun. 53, 197 (1985).
  21. A. Gover and P. Sprangle, IEEE J. Quantum Electron. 17, 1196 (1981).
  22. G. T. Moore, Nucl. Instrum. Methods Phys. Res., Sect. A 239, 19 (1985).

Outline

Information

Phys. Rev. ST Accel. Beams 14, 080702– Published 23 August, 2011
  • Received 31 May 2011
Article part of CHORUS
Creative Commons Logo

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation