Skip to main content

Sideband Instabilities

  • Chapter
  • First Online:
Principles of Free Electron Lasers
  • 1075 Accesses

Abstract

This chapter deals with the theory of sideband growth in free-electron lasers. The growth of sidebands of the primary signal in free-electron lasers can occur after the bulk of the electron beam becomes trapped in the ponderomotive potential formed by the beating of the wiggler and radiation fields. Trapped electrons execute an oscillatory bounce motion in the ponderomotive well, and the waves formed by the beating of this oscillation with the primary signal are referred to as the sidebands. The difficulties imposed by the growth of sidebands are that they can compete with and drain energy from the primary signal as well as considerably broaden the output spectrum. Sideband control, therefore, is an important consideration for free-electron laser configurations that operate in the trapped particle regime. Examples of such systems include (1) tapered wiggler configurations designed to trap the beam at an early stage of the interaction and then extract a great deal more energy from the beam over an extended interaction length and (2) oscillators which run at sufficiently high power over an extended pulse time that the electron beam becomes trapped upon entry to the wiggler.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. T.J.T. Kwan, Trapped particle dynamics and efficiency optimization in free-electron lasers. Phys. Fluids 23, 1857 (1980)

    Article  Google Scholar 

  2. N.M. Kroll, M.N. Rosenbluth, Sideband instabilities in trapped particle free-electron lasers, in Physics of Quantum Electronics: Free-Electron Generators of Coherent Radiation, ed. by S. F. Jacobs, H. S. Pilloff, M. Sargent, M. O. Scully, R. Spitzer (Eds), vol. 7, (Addison-Wesley, Reading, 1980), p. 147

    Google Scholar 

  3. A.T. Lin, Saturation of sideband instabilities in a free-electron laser, in Physics of Quantum Electronics: Free-Electron Generators of Coherent Radiation, ed. by S. F. Jacobs, H. S. Pilloff, M. Sargent, M. O. Scully, R. Spitzer (Eds.), vol. 9, (Addison-Wesley, Reading, 1981), p. 867

    Google Scholar 

  4. H.P. Freund, P. Sprangle, C.M. Tang, Effect of fluctuating space-charge fields on sideband instabilities in free-electron lasers. Phys. Rev. A 25, 3121 (1982)

    Article  MathSciNet  Google Scholar 

  5. C.M. Tang, P. Sprangle, Semi-analytic formulation of the two-dimensional pulse propagation in the free-electron laser oscillator, in Free-Electron Generators of Coherent Radiation, ed. by C. A. Brau, S. F. Jacobs, M. O. Scully (Eds), Proc. SPIE 453 (1984), pp. 11–24

    Google Scholar 

  6. J.C. Goldstein, Evolution of long pulses in a tapered wiggler free-electron laser, in Free-Electron Generators of Coherent Radiation, ed. by C. A. Brau, S. F. Jacobs, M. O. Scully (Eds), vol. 453, (SPIE, Bellingham, 1984), p. 2

    Google Scholar 

  7. R.C. Davidson, W.A. McMullin, Detrapping stochastic particle instability for electron motion in combined longitudinal wiggler and radiation fields. Phys. Rev. A 29, 791 (1984)

    Article  Google Scholar 

  8. D.C. Quimby, J.M. Slater, J.P. Wilcoxon, Sideband suppression in free-electron lasers with multiple synchrotron periods. IEEE J. Quantum Electron. QE-21, 979 (1985)

    Article  Google Scholar 

  9. R.C. Davidson, Kinetic description of the sideband instability in a helical-wiggler free-electron laser. Phys. Fluids 29, 2689 (1986)

    Article  Google Scholar 

  10. W.B. Colson, The trapped-particle instability in free-electron laser oscillators and amplifiers. Nucl. Instr, Meth A250, 168 (1986)

    Article  Google Scholar 

  11. R.C. Davidson, J.S. Wurtele, Single-particle analysis of the free-electron laser sideband instability for primary electromagnetic waves with constant phase and slowly varying phase. Phys. Fluids 30, 557 (1987)

    Article  Google Scholar 

  12. F.G. Yee, J. Masud, T.C. Marshall, S.P. Schlesinger, Power and sideband studies of a Raman free-electron laser. Nucl. Instr. Meth. A259, 104 (1987)

    Article  Google Scholar 

  13. S.S. Yu, W.M. Sharp, W.M. Fawley, E.T. Scharlemann, A.M. Sessler, E.J. Sternbach, Waveguide suppression of the free-electron laser sideband instability. Nucl. Instr. Meth. A259, 219 (1987)

    Article  Google Scholar 

  14. J. Masud, T.C. Marshall, S.P. Schlesinger, F.G. Yee, W.M. Fawley, E.T. Scharlemann, S.S. Yu, A.M. Sessler, E.J. Sternbach, Sideband control in a millimeter-wave free-electron laser. Phys. Rev. Lett. 58, 763 (1987)

    Article  Google Scholar 

  15. S. Riyopoulos, C.M. Tang, The free-electron laser sideband instability reconsidered. Nucl. Instr. Meth. A259, 226 (1987)

    Article  Google Scholar 

  16. J.C. Goldstein, B.E. Newnam, R.W. Warren, Sideband suppression by an intracavity optical filter in the Los Alamos free-electron laser oscillator. Nucl. Instr. Meth. A272, 150 (1988)

    Article  Google Scholar 

  17. R.W. Warren, J.C. Goldstein, The generation and suppression of synchrotron sidebands. Nucl. Instr. Meth. A272, 155 (1988)

    Article  Google Scholar 

  18. W.M. Sharp, S.S. Yu, Validity of 1-D free-electron laser sideband models. Nucl. Instr. Meth. A272, 397 (1988)

    Article  Google Scholar 

  19. H. Takeda, Analysis of sideband spectra from untapered undulator using analytical techniques. Nucl. Instr. Meth. A272, 404 (1988)

    Article  Google Scholar 

  20. P.J. Channell, Spectral evolution equation for the sideband instability in a free-electron laser oscillator. Nucl. Instr. Meth. A272, 421 (1988)

    Article  Google Scholar 

  21. S. Riyopoulos, C.M. Tang, The structure of the sideband spectrum in the free-electron laser. Phys. Fluids 31, 1708 (1988)

    Article  Google Scholar 

  22. B. Hafizi, A. Ting, P. Sprangle, C.M. Tang, Development of sidebands in tapered and untapered free-electron lasers. Phys. Rev. A 38, 197 (1988)

    Article  Google Scholar 

  23. J.E. Sollid, D.W. Feldman, R.W. Warren, H. Takeda, S.J. Gitomer, W.J. Johnson, W.E. Stein, Sideband suppression in the Los Alamos free-electron laser using a Littrow grating. Nucl. Instr. Meth. A285, 147 (1989)

    Article  Google Scholar 

  24. J.E. Sollid, D.W. Feldman, R.W. Warren, Sideband suppression for free-electron lasers. Nucl. Instr. Meth. A285, 153 (1989)

    Article  Google Scholar 

  25. A. Bhattacharjee, S.Y. Cai, S.P. Chang, J.W. Dodd, T.C. Marshall, Sideband instabilities and optical guiding in a free-electron laser: experiment and theory. Nucl. Instr. Meth. A285, 158 (1989)

    Article  Google Scholar 

  26. S. Riyopoulos, Instability mechanisms in storage ring free-electron oscillators. Nucl. Instr. Meth. A296, 485 (1990)

    Article  Google Scholar 

  27. W.M. Sharp, S.S. Yu, Two-dimensional Vlasov treatment of free-electron laser sidebands. Phys. Fluids B 2, 581 (1990)

    Article  Google Scholar 

  28. Y. Kishimoto, H. Oda, M. Shiho, Parasitic wave excitation by multimode coupling in a Raman-regime free-electron laser. Phys. Rev. Lett. 65, 851 (1990)

    Article  Google Scholar 

  29. E.J. Sternbach, Coupled-wave theory of free-electron laser sidebands in a waveguide. IEEE Trans. Plasma Sci. PS-18, 460 (1990)

    Article  Google Scholar 

  30. M.N. Rosenbluth, H.V. Wong, B.N. Moore, Sideband instabilities in free-electron lasers. Phys. Fluids B 2, 1635 (1990)

    Article  Google Scholar 

  31. J.N. Elgin, Analysis of the sideband instability in the free-electron laser. Phys. Rev. A 43, 2514 (1991)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Freund, H.P., Antonsen, T.M. (2018). Sideband Instabilities. In: Principles of Free Electron Lasers . Springer, Cham. https://doi.org/10.1007/978-3-319-75106-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-75106-1_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-75105-4

  • Online ISBN: 978-3-319-75106-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics