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Influence of an intense pulsed electromagnetic field on nonresonant scattering of a photon by an electron for the nonrelativistic energy

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Abstract

The theory of nonresonant scattering of a photon by an electron in the field of an intense pulsed light wave is developed. The approximation when a pulse width is considerably greater than the characteristic time of wave oscillation is considered. The nonresonant kinematic region is determined. The general relativistic expression for the nonresonant cross-section is derived for the range of the external field intensities if η 0 ≲ 1, η0 2 ≪ 1 (see Eq. (12)) is valid. The obtained differential cross-section of the process has form of a sum over partial differential cross-sections. Each of them corresponds to the process with emission (absorption) of a certain number of wave photons. It is shown, that for nonrelativistic energy the cross-section summed over all possible partial processes differs considerably from the cross-section of Compton scattering if the external field is absent and may exceed the latter over than 200%.

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References

  1. V.I. Ritus, A.I. Nikishov, Trudy FIAN 111, 5 (1979)

    Google Scholar 

  2. F. Ehlotzky, K. Krajewska, J.Z. Kami’nski, Rep. Prog. Phys. 72, 046401 (2009)

    Article  ADS  Google Scholar 

  3. S.P. Roshchupkin, Laser Phys. 6, 837 (1996)

    Google Scholar 

  4. G.A. Mourou, T. Tajima, S.V. Bulanov, Rev. Mod. Phys. 78, 309 (2006)

    Article  ADS  Google Scholar 

  5. M.V. Fedorov, in An Electron in a Strong Light Field (Nauka, Moscow, 1980), p. 222

  6. S.P. Roshchupkin, A.I. Voroshilo, in Resonant and Coherent Effects of Quantum Electrodynamics in the Light Field (Naukova Dumka, Kiev, 2008), p. 398

  7. S.P. Roshchupkin, A.A. Lebed’, in Effects of Quantum Electrodynamics in the Strong Pulsed Laser Field (Naukova Dumka, Kiev, 2012), p. 212

  8. C. Bula, K.T. McDonald, E.J. Prebys, C. Bamber, S. Boege, T. Kotseroglou, A.C. Melissinos, D.D. Meyerhofer, W. Ragg, D.L. Burke, R.C. Field, G. Horton-Smith, A.C. Odian, J.E. Spencer, D. Walz, S.C. Berridge, W.M. Bugg, K. Shmakov, A.W. Weidemann, Phys. Rev. Lett. 76, 3116 (1996)

    Article  ADS  Google Scholar 

  9. D.L. Burke, R.C. Field, G. Horton-Smith, J.E. Spencer, D. Waiz, S.C. Berridge, W.M. Bugg, K. Shmakov, A.W. Weidemann, C. Bula, K.T. McDonald, E.J. Prebys, C. Bamber, S.J. Boege, T. Koffas, T. Kotseroglou, A.C. Melissinos, D.D. Meyerhofer, D.A. Reis, W. Ragg, Phys. Rev. Lett. 79, 1626 (1997)

    Article  ADS  Google Scholar 

  10. C. Bamber, S.J. Boege, T. Koffas, T. Kotseroglou, A.C. Melissinos, D.D. Meyerhofer, D.A. Reis, W. Ragg, C. Bula, K.T. McDonald, E.J. Prebys, D.L. Burke, R.C. Field, G. Horton-Smith, J.E. Spencer, D. Walz, S.C. Berridge, W.M. Bugg, K. Shmakova, A.W. Weidemann, Phys. Rev. D 60, 092004 (1999)

    Article  ADS  Google Scholar 

  11. T. Kumita, Y. Kamiya, M. Babzien, I. Ben-Zvi, K. Kusche, I.V. Pavlishin, I.V. Pogorelsky, D.P. Siddons, V. Yakimenko, T. Hirose, T. Omori, J. Urakawa, K. Yokoya, D. Cline, F. Zhou, Laser Phys. 16, 267 (2006)

    Article  ADS  Google Scholar 

  12. V. Bagnoud, B. Aurand, A. Blazevic, S. Borneis, C. Bruske, B. Ecker, U. Eisenbarth, J. Fils, A. Frank, E. Gaul, S. Goette, C. Haefner, T. Hahn, K. Harres, H.-M. Heuck, D. Hochhaus, D.H.H. Hoffmann, D. Javorkova, H.-J. Kluge, T. Kuehl, S. Kunzer, M. Kreutz, T. Merz-Mantwill, P. Neumayer, E. Onkels, D. Reemts, O. Rosmej, M. Roth, T. Stoehlker, A. Tauschwitz, B. Zielbauer, D. Zimmer, K. Witte, Appl. Phys. B 100, 137 (2010)

    Article  ADS  Google Scholar 

  13. S.W. Bank, P. Rousseau, T.A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G.A. Mourou, V. Yanovsky, Opt. Lett. 29, 2837 (2004)

    Article  ADS  Google Scholar 

  14. V. Yanovsky, V. Chvykov, G. Kalinchenko, P. Rousseau, T. Planchon, T. Matsuoka, A. Maksimchuk, J. Nees, G. Cheriaux, G. Mourou, K. Krushemick, Opt. Express 16, 2109 (2008)

    Article  ADS  Google Scholar 

  15. N.B. Narozhny, M.S. Fofanov, Zh. Eksp. Teor. Fiz. 110, 26 (1996) [J. Exp. Theor. Phys. 83, 14 (1996)]

    Google Scholar 

  16. N.B. Narozhny, M.S. Fofanov, Laser Phys. 7, 141 (1997)

    Google Scholar 

  17. S.P. Roshchupkin, A.A. Lebed’, E.A. Padusenko, A.I. Voroshilo, in Quantum Optics and Laser Experiments, edited by S. Lyagushyn (InTech, Rijeka, 2012), pp. 107–156

  18. S.P. Roshchupkin, A.A. Lebed’, E.A. Padusenko, A.I. Voroshilo, Laser Phys. 22, 1113 (2012)

    Article  ADS  Google Scholar 

  19. E.A. Padusenko, S.P. Roshchupkin, A.I. Voroshilo, Laser Phys. Lett. 6, 242 (2009)

    Article  ADS  Google Scholar 

  20. E.A. Padusenko, S.P. Roshchupkin, A.I. Voroshilo, Laser Phys. Lett. 6, 616 (2009)

    Article  ADS  Google Scholar 

  21. A.I. Voroshilo, E.A. Padusenko, S.P. Roshchupkin, Laser Phys. 20, 1561 (2010)

    Article  Google Scholar 

  22. A.A. Lebed’, S.P. Roshchupkin, Laser Phys. Lett. 6, 472 (2009)

    Article  ADS  Google Scholar 

  23. A.A. Lebed’, S.P. Roshchupkin, Eur. Phys. J. D 53, 113 (2009)

    Article  ADS  Google Scholar 

  24. A.A. Lebed’, S.P. Roshchupkin, Laser Phys. Lett. 5, 437 (2008)

    Article  ADS  Google Scholar 

  25. A.A. Lebed’, S.P. Roshchupkin, Phys. Rev. A, 81, 1 (2010)

    Google Scholar 

  26. A.I. Voroshilo, S.P. Roshchupkin, V.N. Nedoreshta, Laser Phys. 21, 1675 (2011)

    Article  ADS  Google Scholar 

  27. S.S. Starodub, S.P. Roshchupkin, Laser Phys. 21, 769 (2011)

    Article  ADS  Google Scholar 

  28. A.H. Compton, Phys. Rev. 21, 483 (1923)

    Article  ADS  Google Scholar 

  29. A.H. Compton, Phys. Rev. 22, 409 (1923)

    Article  ADS  Google Scholar 

  30. O. Klein, Y. Nishina, Z. Phys. 52, 853 (1929)

    Article  ADS  MATH  Google Scholar 

  31. I.E. Tamm, Z. Phys. 62, 545 (1930)

    Article  ADS  MATH  Google Scholar 

  32. D. Yu. Ivanov, G.L. Kotkin, V.G. Serbo, Eur. Phys. J. C 36, 127 (2004)

    Article  ADS  Google Scholar 

  33. K. Krajewska, J.Z. Kami’nski, Phys. Rev. A 85, 062102 (2012)

    Article  ADS  Google Scholar 

  34. M. Boca, V. Florescu, Phys. Rev. A 80, 053403 (2009)

    Article  ADS  Google Scholar 

  35. M. Boca, V. Florescu, Eur. Phys. J. D 61, 449 (2011)

    Article  ADS  Google Scholar 

  36. D. Seipt, B. Kämpfer, Phys. Rev. A 83, 022101 (2011)

    Article  ADS  Google Scholar 

  37. F. Mackenroth, A. Di Piazza, Phys. Rev. A 83, 032106 (2011)

    Article  ADS  Google Scholar 

  38. K.F. Mackenroth, A. Di Piazza, C.H. Keitel, Phys. Rev. Lett. 105, 063903 (2010)

    Article  ADS  Google Scholar 

  39. A. Di Piazza, C. Müller, K.Z. Hatsagortsyan, C.H. Keitel, Rev. Mod. Phys. 84, 1177 (2012)

    Article  ADS  Google Scholar 

  40. M. Boca, A. Oprea, Phys. Scr. 83, 055404 (2011)

    Article  ADS  Google Scholar 

  41. T. Heinzl, D. Seipt, B. Kämpfer, Phys. Rev. A 81, 022125 (2010)

    Article  ADS  Google Scholar 

  42. E. Lötstedt, U.D. Jentschura, Phys. Rev. A 80, 053419 (2009)

    Article  ADS  Google Scholar 

  43. V.P. Oleinik, Zh. Eksp. Teor. Fiz. 52, 1049 (1967)

    Google Scholar 

  44. V.P. Oleinik, Zh. Eksp. Teor. Fiz. 53, 1997 (1968)

    Google Scholar 

  45. A.I. Voroshilo, S.P. Roshchupkin, Laser Phys. Lett. 2, 184 (2005)

    Article  ADS  Google Scholar 

  46. A.I. Voroshilo, S.P. Roshchupkin, O.I. Denisenko, Eur. Phys. J. D 41, 433 (2007)

    Article  ADS  Google Scholar 

  47. V.N. Nedoreshta, A.I. Voroshilo, S.P. Roshchupkin, Laser Phys. Lett. 4, 872 (2007)

    Article  ADS  Google Scholar 

  48. V.N. Nedoreshta, A.I. Voroshilo, S.P. Roshchupkin, Eur. Phys. J. D 48, 451 (2008)

    Article  ADS  Google Scholar 

  49. S.P. Roshchupkin, V.A. Tsybul’nik, Laser Phys. Lett. 5, 619 (2008)

    Article  ADS  Google Scholar 

  50. V.N. Nedoreshta, S.P. Roshchupkin, A.I. Voroshilo, Laser Phys. 19, 531 (2009)

    Article  ADS  Google Scholar 

  51. S.P. Roshchupkin, Laser Phys. 19, 1723 (2009)

    Article  ADS  Google Scholar 

  52. S.P. Roshchupkin, V.A. Tsybul’nik, Laser Phys. Lett. 6, 906 (2009)

    Article  Google Scholar 

  53. J. Schwinger, Phys. Rev. 82, 664 (1951)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. L.S. Brown, T.W.B. Kibblie, Phys. Rev. A 133, 705 (1964)

    ADS  Google Scholar 

  55. S.P. Goreslavskii, N.B. Narozhny, O.V. Shcherbachev, V.P. Yakovlev, Laser Phys. 3, 421 (1993)

    Google Scholar 

  56. S.P. Goreslavskii, S.V. Popruzhenko, O.V. Shcherbachev, Laser Phys. 9, 1039 (1999)

    Google Scholar 

  57. V.B. Berestetskii, E.M. Lifshitz, L.P. Pitaevskii, Quantum Electrodynamics (Nauka, Moscow, 1980)

  58. D.M. Volkov, Z. Phys. 94, 250 (1935)

    Article  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Physics, National Academy of Sciences of Ukraine, Petropavlovskaya Str. 58, 40030, Sumy, Ukraine

    Vitaly N. Nedoreshta, Sergei P. Roshchupkin & Alexey I. Voroshilo

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  1. Vitaly N. Nedoreshta
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  2. Sergei P. Roshchupkin
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  3. Alexey I. Voroshilo
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Correspondence to Vitaly N. Nedoreshta or Sergei P. Roshchupkin.

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Nedoreshta, V.N., Roshchupkin, S.P. & Voroshilo, A.I. Influence of an intense pulsed electromagnetic field on nonresonant scattering of a photon by an electron for the nonrelativistic energy. Eur. Phys. J. D 67, 56 (2013). https://doi.org/10.1140/epjd/e2013-30358-5

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