Skip to main content
Log in

Abstract.

To take complete benefit of the Free Electron Laser (FEL) features, we have developed a feedback control scheme designed to suppress the dynamical instabilities affecting the FEL output intensity. The principle is to stabilize an unstable stationary state that coexists with the unwanted limit cycle. This paper gives a theoretical and experimental description of the stabilized stationary regime of a storage ring FEL in presence of the feedback control. We present a numerical model of the FEL with control, that describes the longitudinal dynamics of the laser pulse in condition of detuning between the FEL and the electron beam. These theoretical results are compared with experiments performed on the Super-ACO FEL. The established feedback control provides stable operation of the FEL.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • W.L. Ditto, S.N. Rauseo, M.L. Spano, Phys. Rev. Lett. 65, 3211 (1990)

    Article  ADS  Google Scholar 

  • E. Hunt, Phys. Rev. Lett. 67, 1953 (1991)

    Article  ADS  Google Scholar 

  • T.L. Carroll, I. triandaf, I. Schwartz, L. Pecora, Phys. Rev. A 46, 6184 (1992)

    Article  ADS  Google Scholar 

  • R. Roy, T.W. Murphy, T.D. Maier, Z. Gills, E.R. Hunt, Phys. Rev. Lett. 68, 1259 (1992)

    Article  ADS  Google Scholar 

  • S. Bielawski, D. Derozier, P. Glorieux, Phys. Rev. A 47, R2492 (1993)

  • S. Bielawski, D. Derozier, P. Glorieux, Phys. Rev. E 49, R971 (1994)

  • R. Meucci, W. Gadomski, M. Ciofini, F.T. Arecchi, Phys. Rev. E 49, R2528 (1994)

  • V. Petrov, V. Gaspar, J. Masere, K. Showalter, Nature 361, 240 (1993)

    Article  ADS  Google Scholar 

  • R.J. Wiener, D. Dolby, G.C. Gibbs, B. Smeby, T. Olsen, A.M. Smiley, Phys. Rev. Lett. 83, 2340 (1999)

    Article  ADS  Google Scholar 

  • A. Garfinkel, M. Spano, W. Ditto, J. Weiss, Science 257, 1230 (1992)

    ADS  Google Scholar 

  • S. Boccaletti, J. Kurths, G. Osipov, D. Valladares, C. Zhou, Phys. Rep. 366, 1 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Z. Gills, C. Iwata, R. Roy, Phys. Rev. Lett. 69, 3169 (1992)

    Article  ADS  Google Scholar 

  • B. Macke, J. Zemmouri, N.E. Fettouhi, Phys. Rev. A 47, R1609 (1993)

  • S. Bielawski, M. Bouazaoui, D. Derozier, P. Glorieux, Phys. Rev. A 47, 3276 (1993)

    Article  ADS  Google Scholar 

  • N. Joly, S. Bielawski, Opt. Lett. 26, 692 (2001)

    ADS  Google Scholar 

  • K. Pyragas, F. Lange, T. Letz, J. Parisi, A. Kittel, Phys. Rev. E 61, 3721 (2000)

    Article  ADS  Google Scholar 

  • S. Bielawski, C. Bruni, G.L. Orlandi, D. Garzella, M.E. Couprie, Phys. Rev. E 69, R045502 (2004)

  • G. De Ninno, D. Fanelli, Phys. Rev. Lett. 92, 094801 (2004)

    Article  ADS  Google Scholar 

  • M. Billardon, D. Garzella, M.E. Couprie, Phys. Rev. lett. 69, 2368 (1992)

    Article  ADS  Google Scholar 

  • C. Bruni, M.E. Couprie, D. Garzella, G. Lambert, G.L. Orlandi, M. Danailov, G. De Ninno, B. Diviacco, M. Trovó, L. Gianessi et al., Proceedings of the Europeen particle Accelerator conference, p. 381 (2004)

  • S. Bielawski, C. Szwaj, C. Bruni, D. Garzella, G.L. Orlandi, M.E. Couprie, M. Hosaka, A. Mochihashi, Y. Takashima, M. Katoh et al., Proceedings of the 27th International Free Electron laser Conference, p. 391 (2005)

  • G. De Ninno, D. Fanelli, C. Bruni, M.E. Couprie, Eur. Phys. J. D 22, 269 (2003)

    ADS  Google Scholar 

  • P. Wang, V.N. Litvinenko, M. Emamian, J. Faircloth, J. Gustavsson, S. Hartman, S. Mikhailov, P. Morcombe, O. Oakeley, J. Patterson et al., Proceedings of the Particle Accelerator Conference, p. 2819 (2001)

  • G. De Ninno, M. Trovó, M. Danailov, M. Marsi, E. Karantzoulis, B. Diviacco, R.P. Walker, R. Bartolini, G. Dattoli, L. Gianessi et al., Nucl. Instrum. Meth. A 507, 274 (2003)

    Article  ADS  Google Scholar 

  • K. Yamada, N. Sei, M. Yasumoto, H. Ogawa, T. Mikado, H. Ohgaki, Nucl. Instrum. Meth. A 483, 162 (2002)

    Article  ADS  Google Scholar 

  • R. Roux, M.E. Couprie, R.J. Bakker, D. Garzella, D. Nutarelli, L. Nahon, M. Billardon, Phys. Rev. E 58, 6584 (1998)

    Article  ADS  Google Scholar 

  • M. Hosaka, S. Koda, J. Yamazaki, H. Hama, Nucl. Instrum. Meth. A 445, 208 (2000)

    Article  ADS  Google Scholar 

  • A. Renieri, Nuovo Cim. B 50, 160 (1979)

    ADS  Google Scholar 

  • G. Dattoli, T. Harmsen, A. Renieri, A. Torre, Phys. Rev. A 37, 4326 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  • G. Dattoli, T. Harmsen, L. Mezi, A. Renieri, A. Torre, Phys. Rev. A 37, 4334 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  • W. Colson, P. Elleaume, Appl. Phys. B 29, 101 (1982)

    Article  ADS  Google Scholar 

  • G. De Ninno, D. Fanelli, M.E. Couprie, Nucl. Instrum. Meth. A 483, 177 (2002)

    Article  ADS  Google Scholar 

  • M.E. Couprie, G. De Ninno, G. Moneron, D. Nutarelli, M. Hirsch, D. Garzella, E. Renault, R. Roux, C.A. Thomas, Nucl. Instrum. Meth. A 475, 229 (2001)

    Article  ADS  Google Scholar 

  • V.N. Litvinenko, S.H. Park, I.V. Pinayev, Y. Wu, A. Lumpkin, B. Yang, Nucl. Instrum. Meth. A 475, 234 (2001)

    Article  ADS  Google Scholar 

  • V.N. Litvinenko, S.H. Park, I.V. Pinayev, Y. Wu, Nucl. Instrum. Meth. A 475, 240 (2001)

    Article  ADS  Google Scholar 

  • G. De Ninno, M. Trovó, M. Danailov, M. Marsi, B. Diviacco, Proceedings of the Europeen particle Accelerator conference p. 799 (2002)

  • K. Yamada, N. Sei, H. Ohgaki, T. Mikado, S. Sugiyama, T. Yamazaki, Nucl. Instrum. Meth. A 445, 173 (2000)

    Article  ADS  Google Scholar 

  • S. Koda, M. Hosaka, J. Yamazaki, M. Katoh, H. Hama, Nucl. Instrum. Meth. A 475, 211 (2001)

    Article  ADS  Google Scholar 

  • M.E. Couprie, D. Garzella, T. Hara, J.H. Codarbox, M. Billardon, Nucl. Instrum. Meth. A 358, 374 (1995)

    Article  ADS  Google Scholar 

  • P. Elleaume, J. Phys. (Paris) 44, C1 (1983)

  • N.A. Vinokurov, A.N. Skrinsky, Novossibirsk Preprint INP77.59 (1977)

  • D. Nutarelli, D. Garzella, M.E. Couprie, M. Billardon, Nucl. Instrum. Meth. A 393, 64 (1997)

    Article  ADS  Google Scholar 

  • H. Hama, Nucl. Instrum. Meth. A 375, 57 (1996)

    Article  ADS  Google Scholar 

  • P. Elleaume, J. Phys. 45, 997 (1984)

    Google Scholar 

  • G. Dattoli, L. Giannessi, P.L. Ottaviani, A. Renieri, Nucl. Instrum. Meth. A 365, 559 (1995)

    Article  ADS  Google Scholar 

  • G. De Ninno, C. Bruni, D. Nutarelli, D. Garzella, C. Thomas, M.E. Couprie, Phys. Rev. E 67, 026501 (2003)

    Article  ADS  Google Scholar 

  • V.N. Litvinenko, Nucl. Instrum. Meth. A 359, 50 (1995)

    Article  ADS  Google Scholar 

  • V.N. Litvinenko, B. Burnham, J.M.J. Madey, Y. Wu, Nucl. Instrum. Meth. A 358, 369 (1995)

    Article  ADS  Google Scholar 

  • R. Bartolini, G. Dattoli, L. Giannessi, L. Mezi, Nucl. Instrum. Meth. A 492, 276 (2002)

    Article  ADS  Google Scholar 

  • C.A. Thomas, J.I.M. Botman, C. Bruni, D. Garzella, M.E. Couprie, G. De Ninno, G. Dattoli, Nucl. Instrum. Meth. A 507, 281 (2003)

    Article  ADS  Google Scholar 

  • G.L. Orlandi, C. Bruni, D. Garzella, M.E. Couprie, C. Thomas, R. Bartolini, C. Rippon, G. Dattoli, Phys. Rev. ST Accel. Beams 7, 060701 (2004)

    Article  ADS  Google Scholar 

  • A. Dunlop, W. Firth, D. Heatley, E. Wright, Opt. Lett. 21, 770 (1996)

    ADS  Google Scholar 

  • H. Haus, J. Fujimoto, E. Ippen, J. Opt. Soc. Am. B 8, 2068 (1991)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. Bruni.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bruni, C., Bielawski, S., Orlandi, G. et al. Suppression of limit cycles in a free electron laser. Eur. Phys. J. D 39, 75–85 (2006). https://doi.org/10.1140/epjd/e2006-00077-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2006-00077-3

PACS.

Navigation