Nonlinear self-consistent theory of superheterodyne and parametric free electron lasers

  • V. V. Kulish
  • S. A. Kuleshov
  • A. V. Lysenko
Article

Abstract

A new approach to a nonlinear self-consistent theory of superheterodyne and parametrical FEL has been formulated. The method of averaged kinetic equation was taken as a principle. Efficiency and capacity for work of the developed approach were illustrated by series of concrete examples.

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References

  1. 1.
    Marshall T.C. Free Electron Lasers. - MacMillan. - 1985.Google Scholar
  2. 2.
    Bran C. Free Electron Lasers. - Boston. - Academie Press. - 1990.Google Scholar
  3. 3.
    Luchini P., Motz U. Undulators and Free Electron Lasers. - Oxford. - 1990.Google Scholar
  4. 4.
    Free Electron Coherent Radiation Generators. Ed. by Prof. A.A. Rukhadze, Moscow; Mir, 1983, 282 pp. (in Russian)Google Scholar
  5. 6.
    Pellegrini C. Free electron lasers: development and applications. Particle Accelerators. - 1990. P. 32–33, N 1–4. - P, 1849–1860.Google Scholar
  6. 7.
    Robertson C.W., Sprangle P. A review of free electron lasers. Physics of Fluids. - 1989. - v. B1, N1. - P. 3–42.Google Scholar
  7. 8.
    Datolli G., Reieri A., Torre A. Free electron lasers: A shot review of the theory and experiments. CERN. 1987. - N3/2. - P.792–816.Google Scholar
  8. 9.
    Wurtele J.S., Chu R., Fajans J. Nonlinear theory and experiment of collective free electron lasers.-Physics of Fluids. - 1990. - v. B2, N7. - P. 1626–1634.Google Scholar
  9. 10.
    High gain, high power free electron lasers and application to TV particle acceleration: Proc. I.N.F.N. Int. Sch. Electromag. Radiat. and Part. Beams Accel., Varenna, June 20–25, 1988. - Amsterdam etc.: N - Holl. - 1989. - XVi, 390 p.Google Scholar
  10. 11.
    I.V. Dzedolik, V.P. Zakharov and V.V. Kulish. Nonlinear theory of parametric-resonance interaction of electromagnetic waves in plasma of a relativistic electron beam. Radiotekhnika i Elektronika, 1988, Vol. 33, No. 6, pp. 1255–1264 (in Russian)Google Scholar
  11. 12.
    I.V. Dzedolik, V.P. Zakharov and V.V. Kulish. Self-consistent nonlinear analysis of parametric-resonance interaction of two electromagnetic waves in plasma of a relativistic electron beam. Radiotekhnika i Elektronika, 1988, Vol. 33, No. 6, pp. 1264–1271 (in Russian)Google Scholar
  12. 13.
    I.V. Dzedolik and V.V. Kulish. To nonlinear theory of parametric electromagnetic waves resonance in plasma of nigh-current relativistic electron beam. Ukr. Fiz. Zhurn. -1987, Vol. 32, No. 11, pp. 1672–1677 (in Russian)Google Scholar
  13. 14.
    K. Ishkabulov and A.M. Fedorchenko. Shortened equation of three-wave interaction in the system electro-magnetic waves-electron beam accurate to cubic terms. Ukr. Fiz. Zhurn. -1985, Vol. 30, No. 6, p. 882 (in Russian)Google Scholar
  14. 15.
    A.V. Draganov, I.Ya. Kotsarenko and A.A. Silivra. Nonlinear theory of parametric amplification of electromagnetic waves in relativistic electron beams with regard for thermal scattering. Ukr. Fiz. Zhurn. -1990, Vol. 35, No. 3, pp. 378–384 (in Russian)Google Scholar
  15. 16.
    V.P. Zakharov, A.V. Kisletsov and V.V. Kulish. Generation of static transverse periodical magnetic field in plasma of relativistic electron beam. Fizika Plazmy, 1986, Vol. 2, Issue 1, pp. 77–80 (in Russian)Google Scholar
  16. 17.
    V. V. Kulish and I. V. Dzedolik. Relativistic electron motion in periodically reversible electromagnetic fields. Kiev, 1985, 110 pp. - Deposited in Ukr NIINTI, 23.07.85, No. 1490 -Uk (in Russian)Google Scholar
  17. 18.
    O.N. Bolonin, V.V. Kulish and V.P. Pugachev. Superheterodyne amplification of electromagnetic waves in a system of two relativistic electron beams. Ukr. Fiz. Zhurn. - 1988, Vol. 33, No. 10, pp. 1465–1468 (in Russian).Google Scholar
  18. 19.
    S. S. Kochanskii and V. V. Kulish, Parametric resonance at the motion of relativistic electrons in electromagnetic wave field. Part 1. Moscow, 1982, 48 pp. Deposited in VINITI 14.05.82, No. 2447-82 (Dep.) (in Russian).Google Scholar
  19. 20.
    V. V. Kulish. Physic of free electron lasers. Principal propositions. Kiev. 1990. 192 pp. Deposited in Ukr NIINTI 05.09.90, No 1526 Uk-90 (in Russian).Google Scholar
  20. 21.
    W.B. Colson, S.K. Ride. In b.: Free Electron Coherent Radiation Generators. Ed. by Prof. A.A. Rukhadze, Moscow; Mir, 1983.Google Scholar
  21. 22.
    P. Sprangle, Cha-Mei Tang, W.M. In b.: Free Electron Coherent Radiation Generators. Ed. by Prof. A.A. Rukhadze, Moscow; Mir, 1983.Google Scholar
  22. 23.
    V. V. Kulish and S. A. Kuleshov. Generation of longitudinal electric field at three-wave parametric resonance of electromagnetic waves in plasma of relativistic electron beam. Sumy, 1992, 48 pp.- Deposited in Ukr INTEI 19.03.92, No 360 Uk - 92 (in Russian).Google Scholar
  23. 24.
    V. V. Kulish and S. A. Kuleshov. Effect of non-linear generation of intrinsic electric field at the parametric - resonance interaction of two electromagnetic wave in plasma of relativistic electron beam. In book: “Contributed papers. Workshop on turbulence and non-linear processes in plasma. Kiev, Ukraine, April 13–29 1992” pp. 76–80.Google Scholar
  24. 25.
    V.V. Kulish. Physic of double-stream FEL. Vestnik Moskovskogo Universiteta, Fizica - Astronomiya. - 1992. - Vol. 33, No 3, pp. 64–78 (in Russian).Google Scholar
  25. 26.
    V.V. Kulish. To theory of superheterodyne free-electron lasers. Ukr. Fiz. Zhurn., 1991, Vol. 31, N 1, pp. 28–33 (in Russian).Google Scholar
  26. 27.
    V.V. Kulish, Nonlinear self-consistent theory of free-electron lasers. Method of study. Ukr. Fiz. Zhurn., 1991, Vol. 39, No 9, pp. 1318–1325 (in Russian).Google Scholar
  27. 28.
    V.V. Kulish and A.V. Lysenko. Nonlinear self-consistent theory of free-electron lasers. The case of monochromatic transversely-homogeneous pumping Ukr. Fiz. Zhurn., 1991, Vol. 36, No 10, - pp. 1484–1489 (in Russian).Google Scholar
  28. 29.
    V. V. Kulish and A. V. Lysenko. Induced radiation processed in motion of relativistic electron beams in periodically - reversible electromagnetic fields. Part 1. Sumy, 1992, 49 pp., deposited in Ukr INTEI 27.02.92, No 246 - Uk - 92 (in Russian).Google Scholar
  29. 30.
    A.F. Aleksandrov, L.S. Bogdankevich, A.A. Rukhadze. Plasma Electromagnetic Foundations.- Moscow.: Vysshaya Shkola, 1988 (in Russian).Google Scholar
  30. 31.
    N.N. Moiseev. Asymptotic Methods of Nonlinear Mechanics.-Moscow: Nauka, 1981 (in Russian).Google Scholar
  31. 32.
    V.M. Volosov. Averaging in systems ordinary differential equations. Uspekhi Mat. Nauk. - 1962.- Vol. 17, No 6, pp. 3–126 (in Russian).Google Scholar
  32. 37.
    M.G. Serebryannikov and A.A. Pervozvanskii. Revealing Hidden Periodicities. - Moscow: Nauka. - 1965 (in Russian).Google Scholar
  33. 38.
    K. Lanzosh. Practical Methods of Applied Analysis. - Moscow: Fizmatgiz. - 1961 (Russian translation).Google Scholar
  34. 39.
    R.C. Davidson. Theory of nonnatural plasmas. W.A. Benjamin, Inc. Massachusetts. - London etc. - 1974.Google Scholar
  35. 40.
    G.M. Zaslavskii and R.Z. Sagdeev. Introduction to Nonlinear Physics. Moscow: Nauka, 1988. - 368 pp. (in Russian).Google Scholar
  36. 41.
    A.P. Sukhorukov. Nonlinear Wave Interactions in Optics and Radiophysics. - Moscow: Nauka, 1988. - 231 pp. (in Russian).Google Scholar
  37. 42.
    A.V. Gaponov, L.A. Ostrovskii and M.I. Rabinovich. One-dimensional waves in nonlinear media with dispersion. Izv. Vuzov. Radiofizika. - 1970. - Vol. 13, No. 2, pp. 169–213 (in Russian).Google Scholar
  38. 43.
    M.I. Rabinovich and V.I. Talanov. Four lectures on foundations of theory of nonlinear waves and wave interactions. Leningrad: Izd-vo LGU, 1972 (in Russian).Google Scholar
  39. 44.
    H. Wilhelmsson and J. Weiland. Coherent Nonlinear Interaction of Waves in Plasma. (Russian translation) Moscow, Energoizdat, 1981.Google Scholar
  40. 45.
    G. Korn and T. Korn. Mathematics Handbook (Russian translation). - Moscow: Nauka, - 1973, 831 pp.Google Scholar
  41. 46.
    L.A. Vainshtein and V.A. Solntsev. Lectures on Microwave Electronics. - Moscow: Sov. Radio, 1973 (in Russian).Google Scholar
  42. 47.
    V.I. Gaiduk, K.I. Palatov and D.N. Petrov. Physical Foundations of Microwave Electronics; Moscow: Sov. Radio, 1971 (in Russian).Google Scholar
  43. 48.
    O. N. Bolonin, V. V. Kulish and V. P. Pugachov. Induced radiation of high-current electron beam in intrinsic magnetic field. Kiev, 1989, 12 pp. Deposited in Ukr NIINTI 25.02.89, No. 431 Uk-89 (in Russian).Google Scholar
  44. 49.
    V. A. Zhurakhovskii, V. V. Kulish and V. T. Chemeris. Energy generation by electron in field of two waves of transversely-electromagnetic type. Kiev, 1980, 48 pp. (Preprint Institute of Electrodinamics, AN USSR: No. 218) (in Russian).Google Scholar
  45. 50.
    A.M. Kalmykov, N.Ya. Kotsarenko and V.V. Kulish. Possibility of parametric generation and amplification of electromagnetic waves with frequencies higher than pumping frequency in electron beam. Izv. Vuzov, Radioelectronica, 1977, No. 10, pp. 76–78 (in Russian).Google Scholar
  46. 51.
    A.M. Kalmykov, N.Ya. Kotsarenko and V. V. Kulish. To theory of parametric upward conversion of frequency in electron beams. Radiotekhika i Elektronika, 1979, No. 10, pp. 2084–2088 (in Russian).Google Scholar
  47. 52.
    I.A. Berezhnoi, V.V. Kulish and V.P. Zakharov. On explosion type instability of relativistic electron beams in field of transversal electromagnetic waves. ZhTF 1981, Vol. 51, pp. 660–662 (in Russian).Google Scholar
  48. 53.
    V.P. Zakharov and V.V. Kulish. Explosion type instability of high current relativistic electron beams in field of transversal electromagnetic waves. ZhTF 1981, Vol. 53, No. 6, pp. 1226–1230 (in Russian).Google Scholar
  49. 54.
    R. A. Silin, V. V. Kulish and Yu. I. Klimenko. USSR Inventors Certificate No. 705914. Priority of 18.05.72. Published 15.07.91. (USSR Inventions Bulletin, N. 26) (in Russian).Google Scholar
  50. 55.
    A.N. Fedorchenko. Canonical averaging method of nonlinear oscillations theory. Ukr. Mat. Zhurnal. 1957. - Vol. 9, No. 2, pp. 220–224 (in Russian).Google Scholar
  51. 56.
    A.V. Gaponov, N.I. Petelin and V.K. Yulpatov. Induced radiation of excited classical oscillators and its employment in high-frequency electronics. Izv. Vuzov, Radiofizika, 1967, Vol. 10, No. 9–10, pp. 1414–1453 (in Russian).Google Scholar
  52. 57.
    N.Ya. Kotsarenko and V.V. Kulish. On the possibility of superheterodyne amplification of electromagnetic waves in electron beams. Zhurn. Tekh. Fiz., 1980, Vol. 50, pp. 220–222 (in Russian).Google Scholar
  53. 58.
    N.Ya. Kotsarenko and V.V. Kulish. On the effect of superheterodyne amplification of electromagnetic waves in plasma-beam system. Radiotekhnika i Elektronika, 1980, Vol. 25, No. 11, pp. 2470–2471 (in Russian).Google Scholar
  54. 59.
    M. Botton, A. Ron: Two-stream instability in FELs. IEEE Tarns. on plasma science, vol. 18, N3, pp. 416–423, 1990.Google Scholar
  55. 60.
    G. Bekefi, K.D. Jacobs: Two-stream FELs. J. Appl. Phys, vol. 53, pp. 4113–4121, 1982.Google Scholar
  56. 61.
    V.V. Kulish and V.P. Pugachev. To the theory of the effect of superheterodyne amplification of waves in plasma of a double-stream system. Fizika Plazmy, 1991,- Vol. 17, No. 6, pp. 696–705 (in Russian).Google Scholar
  57. 62.
    S.C. Chen, G. Bekefi, S. DiCecea, R. Temkin. Tunable micro-wiggler for free electron lasers. Appl. Phys. Lett., 1989, v. 54, pp. 1299–1302.Google Scholar
  58. 63.
    A.M. Kalmykov, N.Ya. Kotsarenko and V.V. Kulish. The possibility of conversion of laser radiation frequency in electron beams. Letters to Zhurn. Tekhn. Fiz, 1978, Vol. 4, No. 14, pp. 82–822 (in Russian).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • V. V. Kulish
    • 1
  • S. A. Kuleshov
    • 1
  • A. V. Lysenko
    • 1
  1. 1.Sumy Physical-Technological InstituteSumyUkraine

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