Skip to main content
SpringerLink
Log in

Hierarchical Self-Consistent Theory of Free Electron Lasers

  • Chapter
Book cover Hierarchical Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 128))

  • 301 Accesses

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
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. U. Bizzarri, F. Ciocci, G. Dattoll et. al. The free-electron laser: status and perspectives. Rivista del Nuovo Cimento, 10(5):1–131, 1987.

    Article  ISI  ADS  Google Scholar 

  2. C.A. Brau. Free-electron lasers. Science, 239(4844):1115–1121, 1988.

    Article  ADS  ISI  Google Scholar 

  3. A. Gaupp. Free electron laser. CERN Scientific Report, 1:207–230, 1989.

    Google Scholar 

  4. S. Leach. The free electron laser as a source of synchrotron radiation. In Frontiers Laser Spectrosc. Gases, pages 89–152, Vimeuro, 30 mar–10 Apr 1988. Proc. NATO Adv. Study Inst., Dordrecht etc.

    Google Scholar 

  5. V.V. Kulish. The physics of free electron lasers. General principles. Deposited in Ukrainian Scientific Research Institute of Technical Information, Kiev, 05 Sep 1990.

    Google Scholar 

  6. P. Luchini, U. Motz. Undulators and free electron lasers. Clarendon Press, Oxford, 1990.

    Google Scholar 

  7. T.C. Marshall. Free electron laser. MacMillan, New York, London, 1985.

    Google Scholar 

  8. C. Brau. Free electron laser. Academic Press, Boston, 1990.

    Google Scholar 

  9. V.V. Kulish. On the theory of devices with difference-frequency signal separation in an electron beam. Sov. Microwave Electronics, 4:25–38, 1978. Super-high Frequency Electronics.

    Google Scholar 

  10. Ed. by A.A. Rukhadze. Free electron generators of coherent radiation. Mir, Moscow, 1983.

    Google Scholar 

  11. J. Weiland, H. Wilhelmsson. Coherent nonlinear interactions of waves in plasmas. Pergamon Press, Oxford, 1977.

    Google Scholar 

  12. V.A. Zhurahovski, V.V. Kulish, V.T. Cheremis. Generation of energy by a flow electron in the field of two wave of transverse electromagnetic type. Preprint 218, Institute of Electrodynamic Academy of Science of Ukraine, Kiev, 1980. 41 pages.

    Google Scholar 

  13. I.A. Berezhnoi, V.P. Zakharov, V.V. Butuzov, V.V. Kulish. Free electron laser. Patent of USSR No 1023950, 16 Jan 1981.

    Google Scholar 

  14. M.I. Rabinovich. On the asymptotic in the theory of distributed system oscillations. Sov. Phys.-Doklady, 191:253–1268, 1971. ser. Fiz. Dok. Akad. Nauk. SSSR.

    MathSciNet  Google Scholar 

  15. A.P. Sukhorukov. Nonlinear wave-interactions in optics and radiophysics. Nauka, Moscow, 1988.

    Google Scholar 

  16. N. Bloembergen. Nonlinear optics. Benjamin, New York, 1965.

    Google Scholar 

  17. A.N. Kalmykov, N.Y. Kotsarenko, V.V. Kulish. On the theory of parametric frequency-increasing transformation in electron beams. Sov. Radio Eng. and Electron., 24(10):2084–2088, 1979.

    Google Scholar 

  18. A.N. Kalmykov, N.Y. Kotsarenko, V.V. Kulish. Parametric generation and amplification of electromagnetic waves with frequencies higher than the pump wave frequency in electron beams. Sov.Radioelectron., 10:76–78, 1977. Izv. Vyssh. Uchebn. Zaved. Radioelectron.

    ADS  Google Scholar 

  19. I.A. Berezhnoi, V.V. Kulish, V.P. Zakharov. On the explosive instability of relativistic electron beams in the fields of transverse electromagnetic waves. Sov. Phys.-Tech. Journal, 51:660–662, 1981.

    Google Scholar 

  20. N.Y. Kotsarenko, V.V. Kulish. Superheterodyne amplification of electromagnetic waves in a beam-plasma system. Sov. Radio Eng. and Electron., 25(11):2470–2471, 1980.

    Google Scholar 

  21. V.P. Zakharov, V.V. Kulish. Parametric instability of a relativistic electron beam in the field of two arbitrary-polarization electromagnetic waves. Deposited manuscript, VINITI, Moscow, 27 Jul 1982.

    Google Scholar 

  22. V.V. Butuzov, V.P. Zakharov, V.V. Kulish. Parametric instability of a relativistic electron beam in the disperse wave field. Deposited in Ukrainian Scientific Research Institute of Technical Information, Kiev, 14 Apr 1983.

    Google Scholar 

  23. V.P. Zakharov, V.V. Kulish. Discrimination effects of parametric wave interaction in an electron beam plasma. Ukrainian Journal Phys., 28(2):406–411, 1983.

    Google Scholar 

  24. V.P. Zakharov, V.V. Kulish. Polarization effects under parametric interaction of transverse electromagnetic waves with a high-current relativistic electron beam. Ukrainian Journal Phys., 53(10):1904–1906, 1983.

    Google Scholar 

  25. V.P. Zakharov, V.V. Kulish. Polarization effects under electromagnetic wave interaction in the high-current relativistic electron beam plasma. Sov. Radio Eng. and Electron., 29(6):1162–1170, 1984.

    Google Scholar 

  26. V.V. Butuzov, V.P. Zakharov, V.V. Kulish. Stationary state establishment under parametric interaction of electron waves in the high-current relativistic electron beam plasma. Sov. Radio Eng. and Electron., 29(11):2192–2198, 1984.

    Google Scholar 

  27. V.P. Zakharov, V.V. Kulish. Explosive instability of a high-current relativistic electron beam in the field of two electromagnetic waves. Sov.Phys.-Tech. Journal, 53(6):1226–1228, 1983.

    Google Scholar 

  28. V.V. Kulish, S.A. Kuleshov. Nonlinear self-consistent theory of free electron lasers. Ukrainian J.Phys., 38(2):198–205, 1993.

    Google Scholar 

  29. V.V. Kulish, S.A. Kuleshov, A.V. Lysenko. Averaged kinetic equation method in the theory of three-wave parametric resonance in relativistic electron beam plasmas. Jour.Plasma Phys., 19(2):199–216, 1993. Fizika Plazmy.

    Google Scholar 

  30. V.V. Kulish, A.V. Lysenko. Method of averaged kinetic equation and its use in the nonlinear problems of plasma electrodynamics. Fizika Plazmy, 19(2):216–227, 1993.

    Google Scholar 

  31. V.V. Kulish, S.A. Kuleshov, A.V. Lysenko. Nonlinear self-consistent theory of superheterodyne and free electron lasers. The International journal of infrared and millimeter waves, 14(3):451–568, 1993.

    Article  ADS  Google Scholar 

  32. V.V. Kulish. Hierarchical oscillations and averaging methods in nonlinear problems of relativistic electronics. The International Journal of Infrared and Millimeter Waves, 18(5):1053–1117, 1997.

    Article  ADS  Google Scholar 

  33. V.V. Kulish, Miliukov V.V. Explosive instability of a high-current relativistic electron beam in h-ubitron fields. Ukrainian J.Phys., 2:389–390, 1984.

    Google Scholar 

  34. V.P. Zakharov, A.V. Kisletsov, V.V. Kulish. Generation of static transverse periodic magnetic field in the relativistic electron beam plasma. Sov.Jour.Plasma Phys., 12(1):77–79, 1986. Fiz.Plazmy.

    ADS  Google Scholar 

  35. N.S. Ginzburg. Diamagnetic and paramagnetic effects in free-electron laser. IEEE Transactions in Plasma Science, 15(4):411–417, 1987.

    Article  ADS  Google Scholar 

  36. V.V. Kulish, O.B. Krutko. Nonlinear self-consistent theory of free electron lasers pumped by crossed periodic magnetic and electric fields. In Proc.Int. Conf. “Physics and Technology of Electron Systems”, Sumy, 18–20 May 1995. SSU.

    Google Scholar 

  37. A.A. Sokolov, I.M. Ternov. Relativistic electron. Nauka, Moscow, 1974.

    Google Scholar 

  38. G.A. Korn, T.W. Korn. Mathematical handbook for scientists and engineers. McGraw Hill, NY, 1961.

    MATH  Google Scholar 

  39. B.I. Ivanov et al. Direct observation of waves under the anomalous doppler effect. Sov.Tech.Phys.Lett, 5(18):662–663, 1979.

    Google Scholar 

  40. V.A. Zhurakhovsky. Gyro-resonance beam retardation without preliminary coiling. Radio Engineering, 36:72–78, 1976.

    Google Scholar 

  41. A.M. Kalmykov, N.Ja. Kotsarenko, V.V. Kulish. Laser radiation frequency transformation in electron beams. Sov. Letters in the Journ. of Technical Physics, 4(14):820–822, 1978.

    Google Scholar 

  42. V.V. Kulish, N.J Kotsarenko. Electronic microwave device. Patent of USSR No. 668491 (cl. H01 J 25/00). Priority of 17 May 1977.

    Google Scholar 

  43. A.N. Kondratenko. Plasma waveguides. Atomizdat, Moscow, 1976.

    Google Scholar 

  44. A.F. Aleksandrov, L.S. Bogdankevich, A. A. Rukhadze. Fundamentals of plasma electrodynamics. Vysshaya Shkola, Moscow, 1988.

    Google Scholar 

  45. V.P. Zakharov, S.S. Kochmanski, V.V. Kulish. Phase discrimination of electromagnetic signals in modulated relativistic electron beams. Sov. Radio Eng. and Electron., 28(11):2217–2224, 1983.

    Google Scholar 

  46. N.Y. Kotsarenko, A.M. Fedorchenko. Absolute and convective instability criteria and absolute to convective instability transition. Sov.Phys.-Tech. Journ, 40(1):41–46, 1970.

    Google Scholar 

  47. A.I. Akhiezer, R.V. Polovin. Wave increase criteria. Sov.Phys.-Usp., 104(3):185–200, 1971.

    Google Scholar 

  48. T.A. Davydova, V.P. Zakharov, V.V. Kulish. Three-wave parametric resonance in relativistic electron beam plasmas. Sov.Phys.-Tech.Jour., 57(4):687–694, 1987.

    Google Scholar 

  49. V.P. Zakharov, V.V. Kulish. Electron beam explosive instability in the field of disperse electromagnetic waves. Ukrainian J.Phys., 30(6):878–881, 1985.

    Google Scholar 

  50. I.A. Berezhnoi, V.P. Zakharov, V. V. Kulish. Electronic device. Patent of USSR No. 1023949 (cl. H01 J 25/00). Priority of 22 Dec 1980.

    Google Scholar 

  51. R.A. Silin, V.P. Sazonov. Retarding systems. Sovetskoye Radio, Moscow, 1966.

    Google Scholar 

  52. A.E. Collin. Field theory and guided waves. McGraw Hill, N.Y., Toronto, London, 1960.

    Google Scholar 

  53. A.A. Silivra. Synchronism conditions for an electron beam with transverse electromagnetic fields. Sov. Radio Eng. and Electron., 26(6):1335–1336, 1981.

    Google Scholar 

  54. V.P. Zakharov, V. V. Kulish. Parametric instability of a relativistic electron beam in the field of two arbitrary-polarization electromagnetic waves. Deposited manuscript, VINITI, Moscow, 23 Nov 1982. No 5804-82.

    Google Scholar 

  55. T.A. Davydova, V.P. Pavlenko, V.B. Taranov, K.P. Shamrai. Self-similar dynamics of nonlinear wave interaction near the instability threshold. Preprint of Kiev Institute for Nuclear Research, Kiev, 1977. No 78-41.

    Google Scholar 

  56. I.V. Dzedolik, V.P. Zakharov, V.V. Kulish. Nonlinear theory of parametric resonance interaction of electromagnetic waves in relativistic electron beam plasmas. Sov. Radio Eng. and Electron., 33(6): 1255–1264, 1988.

    Google Scholar 

  57. I.V. Dzedolik, V.P. Zakharov, V.V. Kulish. Self-consistent nonlinear analysis of parametric resonance interaction of electromagnetic waves in relativistic electron beam plasmas. Sov. Radio Eng. and Electron., 33(6):1254–1271, 1988.

    Google Scholar 

  58. A.I. Moroz. Lectures on system theory. Vysshaya shkola, Moscow, 1987.

    Google Scholar 

  59. A.A. Kuraev. High-power microwave devices: methods of analysis and parameter optimization. Radio i Sviaz’, Moscow, 1982.

    Google Scholar 

  60. L.A. Vainshtein, V.A. Solntsev. Lectures in microwave electronics. Sovetskoye Radio, Moscow, 1973.

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

(2002). Hierarchical Self-Consistent Theory of Free Electron Lasers. In: Hierarchical Methods. Fundamental Theories of Physics, vol 128. Springer, Dordrecht. https://doi.org/10.1007/0-306-48062-X_4

Download citation

  • DOI: https://doi.org/10.1007/0-306-48062-X_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0968-6

  • Online ISBN: 978-0-306-48062-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation