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Electron-atom potential scattering assisted by a bichromatic elliptically polarized laser field

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Abstract

Electron-atom potential scattering assisted by a bichromatic (two-component) elliptically polarized laser field is analyzed in the frame of the S-matrix theory. The second Born approximation is applied in the expansion of the S-matrix element. The first term in the expansion corresponds to the single scattering, while the second term in the expansion corresponds to the double scattering of electrons on atomic targets. The double scattering is possible in the presence of a laser field. The electron that has scattered on an atomic target may be driven back by the laser field and scatter again on the same atom. The double-scattered electrons may have considerably higher energies than those that scattered only once. We have investigated the dependence of the energy spectrum on various laser-field and incident electron parameters. The calculated electron energy spectra show the plateau-like structures with abrupt cutoffs. These cutoffs are explained by a classical analysis.

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References

  1. F. Ehlotzky, A. Jaroń, J.Z. Kamińsky, Phys. Rep. 297, 63 (1998)

    Article  ADS  Google Scholar 

  2. P. Salières, A. L’Huillier, Ph. Antoine, M. Lewenstein, Adv. At. Mol. Opt. Phys. 41, 83 (1999)

    Article  ADS  Google Scholar 

  3. W. Becker, F. Grasbon, R. Kopold et al., Adv. At. Mol. Opt. Phys. 48, 35 (2002)

    Article  ADS  Google Scholar 

  4. D.B. Milošević, F. Ehlotzky, Adv. At. Mol. Opt. Phys. 49, 373 (2003)

    Article  ADS  Google Scholar 

  5. A. Becker, F.H.M. Faisal, J. Phys. B 38, R1 (2005)

    Article  ADS  Google Scholar 

  6. W. Becker, X. Liu, P.J. Ho, J.H. Eberly, Rev. Mod. Phys. 84, 1011 (2012)

    Article  ADS  Google Scholar 

  7. R. Pazourek, S. Nagele, J. Burgdörfer, Rev. Mod. Phys. 87, 765 (2015)

    Article  ADS  Google Scholar 

  8. P.B. Corkum, Phys. Rev. Lett. 71, 1994 (1993)

    Article  ADS  Google Scholar 

  9. P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G.G. Paulus, H. Walther, R. Kopold, W. Becker, D.B. Milošević, A. Sanpera, M. Lewenstein, Science 292, 902 (2001)

    Article  ADS  Google Scholar 

  10. N.L. Manakov, A.F. Starace, A.V. Flegel, M.V. Frolov, Pis’ma Zh. Eksp. Teor. Fiz. 76, 316 (2002) [JETP Lett. 76, 258 (2002)]

    Google Scholar 

  11. A. Čerkić, D.B. Milošević, Phys. Rev. A 70, 053402 (2004)

    Article  Google Scholar 

  12. A. Čerkić, D.B. Milošević, Laser Phys. 15, 268 (2005)

    Google Scholar 

  13. A. Čerkić, D.B. Milošević, Phys. Rev. A 87, 033417 (2013)

    Article  Google Scholar 

  14. M. Busuladžić, A. Čerkić, S. Odžak, A. Gazibegović-Busuladžić, E. Hasović, D. Habibović, D.B. Milošević, Phys. Scr. T162, 014008 (2014)

    Article  ADS  Google Scholar 

  15. A. Jaroń, J.Z. Kamiński, F. Ehlotzky, Phys. Rev. A 61, 023404 (2000)

    Article  ADS  Google Scholar 

  16. A. Jaroń, J.Z. Kamiński, F. Ehlotzky, Phys. Rev. A 63, 055401 (2001)

    Article  ADS  Google Scholar 

  17. A. Jaroń, J.Z. Kamiński, F. Ehlotzky, Laser Phys. 11, 174 (2001)

    Google Scholar 

  18. C. Leone, S. Bivona, R. Burlon, G. Ferrante, Phys. Rev. A 66, 051403 (2002)

    Article  ADS  Google Scholar 

  19. S. Bivona, R. Burlon, G. Ferrante, C. Leone, J. Opt. Soc. Am. B 22, 2076 (2005)

    Article  ADS  Google Scholar 

  20. G. Shchedrin, A. Volberg, J. Phys. A 44, 245301 (2011)

    Article  ADS  Google Scholar 

  21. A.N. Zheltukhin, N.L. Manakov, A.V. Flegel, M.V. Frolov, Pis’ma Zh. Eksp. Teor. Fiz. 94, 641 (2011)

    Google Scholar 

  22. A.N. Zheltukhin, A.V. Flegel, M.V. Frolov, N.L. Manakov, A.F. Starace, J. Phys. B 45, 081001 (2012)

    Article  ADS  Google Scholar 

  23. A. Čerkić, D.B. Milošević, Phys. Rev. A 88, 023414 (2013)

    Article  Google Scholar 

  24. O. Kfir et al., Nat. Photon. 9, 99 (2015)

    Article  ADS  Google Scholar 

  25. T. Fan et al., Proc. Natl. Acad. Sci. USA 112, 14206 (2015)

    Article  ADS  Google Scholar 

  26. J. Miao, T. Ishikawa, I.K. Robinson, M.M. Murnane, Science 348, 530 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  27. C. Chen et al., Sci. Adv. 2, e1501333 (2016)

    Article  ADS  Google Scholar 

  28. H. Eichmann, A. Egbert, S. Nolte, C. Momma, B. Wellegehausen, W. Becker, S. Long, J.K. McIver, Phys. Rev. A 51, R3414 (1995)

    Article  ADS  Google Scholar 

  29. S. Long, W. Becker, J.K. McIver, Phys. Rev. A 52, 2262 (1995)

    Article  ADS  Google Scholar 

  30. T. Zuo, A.D. Bandrauk, J. Nonlinear Opt. Phys. Mater. 04, 533 (1995)

    Article  ADS  Google Scholar 

  31. O.E. Alon, V. Averbukh, N. Moiseyev, Phys. Rev. Lett. 80, 3743 (1998)

    Article  ADS  Google Scholar 

  32. W. Becker, B.N. Chichkov, B. Wellegehausen, Phys. Rev. A 60, 1721 (1999)

    Article  ADS  Google Scholar 

  33. D.B. Milošević, W. Becker, R. Kopold, Phys. Rev. A 61, 063403 (2000)

    Article  ADS  Google Scholar 

  34. D.B. Milošević, W. Sandner, Opt. Lett. 25, 1532 (2000)

    Article  ADS  Google Scholar 

  35. D.B. Milošević, Opt. Lett. 40, 2381 (2015)

    Article  ADS  Google Scholar 

  36. D.B. Milošević, J. Phys. B 48, 171001 (2015)

    Article  ADS  Google Scholar 

  37. D.B. Milošević, Phys. Rev. A 92, 043827 (2015)

    Article  ADS  Google Scholar 

  38. D. Baykusheva, M.S. Ahsan, N. Lin, H.J. Wörner, Phys. Rev. Lett. 116, 123001 (2016)

    Article  ADS  Google Scholar 

  39. F. Mauger, A.D. Bandrauk, T. Uzer, J. Phys. B 49, 10LT01 (2016)

    Article  Google Scholar 

  40. H. Du, J. Zhang, S. Ben, H.-Y. Zhong, T.-T. Xu, J. Guo, X.-S. Liu, Chin. Phys. B 25, 043202 (2016)

    Article  ADS  Google Scholar 

  41. X. Liu, X. Zhu, L. Li, Y. Li, Q. Zhang, P. Lan, P. Lu, Phys. Rev. A 94, 033410 (2016)

    Article  ADS  Google Scholar 

  42. S. Odžak, E. Hasović, D.B. Milošević, Phys. Rev. A 94, 033419 (2016)

    Article  ADS  Google Scholar 

  43. D.M. Reich, L.B. Madsen, Phys. Rev. Lett. 117, 133902 (2016)

    Article  ADS  Google Scholar 

  44. D.B. Milošević, Phys. Rev. A 93, 051402(R) (2016)

    Article  ADS  Google Scholar 

  45. C.A. Mancuso et al., Phys. Rev. A 91, 031402(R) (2015)

    Article  ADS  Google Scholar 

  46. E. Hasović, W. Becker, D.B. Milošević, Opt. Express 24, 6413 (2016)

    Article  ADS  Google Scholar 

  47. D.B. Milošević, W. Becker, Phys. Rev. A 93, 063418 (2016)

    Article  ADS  Google Scholar 

  48. C.A. Mancuso et al., Phys. Rev. A 93, 053406 (2016)

    Article  ADS  Google Scholar 

  49. M. Busuladžić, A. Gazibegović-Busuladžić, D.B. Milošević, Phys. Rev. A 95, 033411 (2017)

    Article  ADS  Google Scholar 

  50. S. Odžak, D.B. Milošević, Phys. Rev. A 92, 053416 (2015)

    Article  ADS  Google Scholar 

  51. A. Čerkić, M. Busuladžić, D.B. Milošević, Phys. Rev. A 95, 063401 (2017)

    Article  Google Scholar 

  52. C.J. Joachain, Quantum collision theory, 3rd ed. (North-Holland, Amsterdam, 1983)

  53. M.H. Mittleman, Introduction to the theory of laser-atom interaction, 2nd ed. (Plenum, New York, 1993)

  54. D.B. Milošević, F. Ehlotzky, Phys. Rev. A 58, 2319 (1998)

    Article  ADS  Google Scholar 

  55. D.B. Milošević, A.F. Starace, J. Phys. B 32, 1831 (1999)

    Article  ADS  Google Scholar 

  56. D.B. Milošević, A.F. Starace, Phys. Rev. A 60, 3943 (1999)

    Article  ADS  Google Scholar 

  57. D.B. Milošević, F. Ehlotzky, Phys. Rev. A 57, 5002 (1998)

    Article  ADS  Google Scholar 

  58. D.B. Milošević, F. Ehlotzky, Phys. Rev. A 58, 3124 (1998)

    Article  ADS  Google Scholar 

  59. D.B. Milošević, F. Ehlotzky, J. Phys. B 31, 4149 (1998)

    Article  ADS  Google Scholar 

  60. D.B. Milošević, F. Ehlotzky, J. Phys. B 32, 1585 (1999)

    Article  ADS  Google Scholar 

  61. A.A. Radzig, B.M. Smirnov, Reference data on atoms, molecules and ions (Springer, Berlin, 1985)

  62. M.H. Mittleman, K.M. Watson, Phys. Rev. 113, 198 (1959)

    Article  ADS  MathSciNet  Google Scholar 

  63. A.E.S. Green, D.L. Sellin, A.S. Zachor, Phys. Rev. 184, 1 (1969)

    Article  ADS  Google Scholar 

  64. A. Čerkić, D.B. Milošević, Phys. Rev. A 73, 033413 (2006)

    Article  Google Scholar 

  65. D.B. Milošević, D. Bauer, W. Becker, J. Mod. Opt. 53, 125 (2006)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000, Sarajevo, Bosnia and Herzegovina

    Arman Korajac, Dino Habibović, Aner Čerkić, Mustafa Busuladžić & Dejan B. Milošević

  2. Faculty of Medicine, University of Sarajevo, Čekaluša 90, 71000, Sarajevo, Bosnia and Herzegovina

    Mustafa Busuladžić

  3. Academy of Sciences and Arts of Bosnia and Herzegovina, Bistrik 7, 71000, Sarajevo, Bosnia and Herzegovina

    Dejan B. Milošević

  4. Max-Born-Institut, Max-Born-Strasse 2a, 12489, Berlin, Germany

    Dejan B. Milošević

Authors
  1. Arman Korajac
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  2. Dino Habibović
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  4. Mustafa Busuladžić
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  5. Dejan B. Milošević
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Correspondence to Dejan B. Milošević.

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Korajac, A., Habibović, D., Čerkić, A. et al. Electron-atom potential scattering assisted by a bichromatic elliptically polarized laser field. Eur. Phys. J. D 71, 251 (2017). https://doi.org/10.1140/epjd/e2017-80405-2

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