Skip to main content
SpringerLink
Log in

Nonlinear Analysis and Modeling of Free-Electron Laser and Microwave Devices

  • Conference paper
Computer Applications in Plasma Science and Engineering

  • 102 Accesses

Abstract

The nonlinear analysis and numerical simulation of Free-Electron Laser and other microwave devices is discussed. The technique employed makes use a single-mode approximation which permits an average of the Maxwell-Poisson equations to be performed over the wave period. The advantage of this technique is that the averaging process permits the consideration of only one “beamlet” of electrons which enters the interaction region within one wave period. This results in the requirement of far fewer electrons than is possible in large-scale particle-in-cell simulations. In addition, the average also removes the fast-time-scale phenomena from the field equations which permits a relatively large step size to be used in the integration. As a result, the computational requirements are substantially less than that for a particle-in-cell simulation, and the technique is a powerful tool in the study of narrow bandwidth coherent radiation sources. This includes the Free-Electron Laser, Cyclotron Maser (i.e., Gyroton, Gyro-TWT, Gyro-Klystron, CARM), and the Orbitron Maser. Because the fast-time-scale phenomena are excluded from the averaged equations, the formulation will also scale to the analysis of short wavelength (i.e., optical) operation of the Free-Electron Laser. A detailed discussion of the derivation of the relevant equations is given in 1-dimension for the Free-Electron Laser, and the generalization to 3-dimensions is discussed. Numerical examples will be given. Applications to other devices will be discussed.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. M. Phillips, IRE Trans. Electron Dev. 7, 231 (1960).

    Article  Google Scholar 

  2. V. L. Granatstein, S. P. Schlesinger, M. Herndon, R. K. Parker, J. A. Pasour, Appl. Phys. Letter. 30, 384 (1977).

    Article  Google Scholar 

  3. R. K. Parker, R. H. Jackson, S. H. Gold, H. P. Freund, V. L. Granatstein, P. C. Efthimion, M. Herndon, A. K. Kinkead, Phys. Rev. Lett. 48, 238 (1982).

    Article  Google Scholar 

  4. J. Fajans, G. Bekefi, Y. Z. Yin, B. Lax, Phys. Rev. Lett. 53, 246 (1984).

    Article  Google Scholar 

  5. J. A. Pasour, R. F. Lucey, C. W. Roberson, in Free-Electron Generators of Coherent Radiation, edited by C. A. Brau, S. F. Jacobs and M. O. Scully [Proc. Soc. Photo. Opt. Instrum. Eng. 453, 328 (1984)].

    Google Scholar 

  6. J. Masud, T. C. Marshall, S. P. Schlesinger, F. G. Yee, Phys. Rev. Lett 56, 1567 (1986).

    Article  Google Scholar 

  7. T. J. Orzechowski, B. Anderson, J. C. Clark, W. N. Fawley, A. C. Paul, D. Prosnitz, E. T. Scharlemann, S. Yarema, D. B. Hopkins, A. M. Sessler, J. Wurtele, Phys. Rev. Lett. 57, 2172 (1986).

    Article  Google Scholar 

  8. L. R. Elias, W. M. Fairbanks, J. M. J. Madey, H. A. Schwettman, T. I. Smith, Phys. Rev. Lett. 36, 111 (1976).

    Article  Google Scholar 

  9. R. W. Warren, B. E. Newnam, J. G. Winston, W. E. Stein, L M. Young, C. A. Brau, IEEE J. Quantum Electron. QE-19, 391 (1983).

    Google Scholar 

  10. M. Billandon, P. Ellaume, J. M. Ortega, C. Bazin, M. Bergher, M. Velghe, Y. Petroff, D. A. G. Deacon, K. E. Robinson, J. M. J. Madey, Phys. Rev. Lett. 51, 1652 (1983).

    Article  Google Scholar 

  11. J. M. Slater, J. L. Adamski, D. C. Quimby, T. L. Churchill, L. Y. Nelson, R. E. Center, IEEE J. Quantum Electron QE-19, 31A (1983).

    Google Scholar 

  12. J. A. Edighoffer, G. R. Neil, C. E. Hess, T. I. Smith, S. W. Fornaca, H. A. Schwettman, Phys. Rev. Lett. 52, 344 (1984).

    Article  Google Scholar 

  13. P. A. Sprangle, C. M. Tang, W. M. Manheimer, Phys. Rev. A 21, 302 (1980).

    Article  Google Scholar 

  14. N. M. Kroll, P. L. Morton, M. N. Rosenbluth, in Physics of Quantum Electronics: Free-Electron Generators of Coherent Radiation, edited by S. F. Jacobs, H. S. Pilloff, M. Sargent, M. O. Scully, and R. Spitzer (Addison -Wesley, Reading, Massachussetts, 1980), Vol. 7, p. 89.

    Google Scholar 

  15. D. Prosnitz, A. Szoke, V. K. Neil, ibid., p. 571.

    Google Scholar 

  16. W. B. Colson, in Free-Electron Lasers, edited by S. Martellucci, A. N. Chester (Plenum, New York, 1983), p. 189.

    Google Scholar 

  17. J. C. Goldstein, in Free-Electron Generators of Coherent Radiation, eds. C. A. Brau, S. F. Jacobs, and M. O. Scully [Proc. SPIE453, Bellingham, Washington, 1984], p. 2.

    Google Scholar 

  18. H. P. Freund, Phys. Rev. A. 27, 1977 (1983).

    Article  Google Scholar 

  19. H. P. Freund, P. A. Sprangle, D. Dillenburg, E. H. da Jornada, R. S. Schneider, B. Liberman, Phys. Rev. A 26, 2004 (1982).

    Article  Google Scholar 

  20. A. K. Ganguly, H. P. Freund, Phys. Rev. A 32, 2275 (1985).

    Article  Google Scholar 

  21. H. P. Freund, A. K. Ganguly, Phys. Rev. A 33, 1060 (1986).

    Article  Google Scholar 

  22. H. P. Freund. A. K. Ganguly, Phys. Rev. A 34, 1242 (1986).

    Article  Google Scholar 

  23. H. P. Freund, A. K. Ganguly, IEEE J. Quantum Electron. QE - 23, 1657 (1987).

    Article  Google Scholar 

  24. H. P. Freund, H. Bluem, C.-L. Chang, Phys. Rev. A 36, 2182 (1987).

    Article  Google Scholar 

  25. H. P. Freund, C.-L. Chang, H. Bluem, Phys. Rev. A 36, 3218 (1987).

    Article  Google Scholar 

  26. H. P. Freund, Phys. Rev. A (submitted for publication).

    Google Scholar 

  27. P. Sprangle, C. M. Tang, Appl. Phys. Lett. 39, 677 (1981).

    Article  Google Scholar 

  28. C. M. Tang, P. Sprangle, IEEE J. Quantum Electron. QE-21, 970 (1985).

    Google Scholar 

  29. P. A. Amir, L. Elias, J. Gallardo, in Free-Electron Generators of Coherent Radiation, eds. C. A. Brau, S. F. Jacobs, and M. O. Scully [Proc. SPIE453, Bellingham, Washington, 1984], p. 453.

    Google Scholar 

  30. A. Amir and Y. Greenzweig, Nucl. Instr. Meth. Phys. Res.A250, 404 (1986).

    Google Scholar 

  31. G. T. Moore, Nucl. Instr. Meth. Phys. Res. A250, 418, (1986).

    Google Scholar 

  32. M. Xie, D. A. G. Deacon, Nucl. Instr. Meth. Phys. Res. A250, 426 (1986).

    Google Scholar 

  33. J. Gallardo, L. Elias, Nucl. Instr. Meth. Phys. Res. A250, 438 (1986).

    Google Scholar 

  34. P. Sprangle, A. Ting, C. M. Tang, Phys. Rev. A36, 2773 (1987).

    Google Scholar 

  35. G. I. Bourianoff, B. N. Moore, M. N. Rosenbluth, R. Waelbroeck, W. Waelbroeck, H. V. Wong, Bull. Am. Phys. Soc. 31, 1539 (1986).

    Google Scholar 

  36. P. Sprangle, A. Ting, C. M. Tang, Phys. Rev. Lett. 59, 202 (1987).

    Article  Google Scholar 

  37. A. K. Ganguly, H. P. Freund, S.Ahn, Phys. Rev. A36, 2199 (1987).

    Google Scholar 

  38. V. A. Flyagin, A. V. Gaponov, M. I. Petelin, V. K. Yulpatov, IEEE Trans, MTT-25, 514 (1977).

    Google Scholar 

  39. A. W. Fliflet, M. E. Read, K. R. Chu, R. Seeley, Int. J. Electron. 53, 505 (1982).

    Article  Google Scholar 

  40. A. K. Ganguly, S. Ahn, Int. J. Electron 53, 641 (1982).

    Article  Google Scholar 

Download references

Authors
  1. Henry P. Freund
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Science Applications International Corporation, 1710 Goodridge Drive, 22102, McLean, VA, USA

    Adam T. Drobot

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag New York, Inc.

About this paper

Cite this paper

Freund, H.P. (1991). Nonlinear Analysis and Modeling of Free-Electron Laser and Microwave Devices. In: Drobot, A.T. (eds) Computer Applications in Plasma Science and Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3092-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-3092-2_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97455-2

  • Online ISBN: 978-1-4612-3092-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation