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Role of the relative phase and intensity ratio in electron-ion recombination assisted by a bicircular laser field

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Abstract

S-matrix theory is used in order to analyze the energy spectra of electron-ion radiative recombination assisted by a bicircular (two-component circularly polarized) laser field. The analysis includes the cases of corotating and counterrotating laser-field components. The scattering effects are also included by applying the second Born approximation in the expansion of the S-matrix element. We have investigated the sensitivity of the emitted photon energy spectra to the relative phase and intensity ratio of the laser-field components. The obtained energy spectra show the plateau-like oscillatory structures with abrupt cutoffs. Positions of these cutoffs in the energy spectra are confirmed by a classical analysis. Scattering effects may be observed in the calculated energy spectra not only in the case of counterrotating, but also in the case of corotating laser-field components. This is different from the process of above-threshold ionization/detachment by a bicircular laser field, where the scattering effects in the photoelectron energy spectra may be observed only in the case of counterrotating laser-field components.

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References

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

    ADS  Google Scholar 

  2. T. Brabec, F. Krausz, Rev. Mod. Phys. 72, 545 (2000)

    ADS  Google Scholar 

  3. F. Ehlotzky, A. Jaroń, J.Z. Kamiński, Phys. Rep. 297, 63 (1998)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  5. D.B. Milošević, A.F. Starace, Phys. Rev. Lett. 81, 5097 (1998)

    ADS  Google Scholar 

  6. D.B. Milošević, A.F. Starace, Laser Phys. 10, 278 (2000)

    Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    Google Scholar 

  12. MYu Kuchiev, V.N. Ostrovsky, Phys. Rev. A 61, 033414 (2000)

    ADS  Google Scholar 

  13. MYu Kuchiev, V.N. Ostrovsky, J. Phys. B 34, 405 (2001)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  18. A. Fleischer, O. Kfir, T. Diskin, P. Sidorenko, O. Cohen, Nat. Photonics 8, 543 (2014)

    ADS  Google Scholar 

  19. T. Fan, P. Grychtol, R. Knut, C. Hernández-Garca, D.D. Hickstein, D. Zusin, C. Gentry, F.J. Dollar, C.A. Mancuso, C.W. Hogle, O. Kfir, D. Legut, K. Carva, J.L. Ellis, K.M. Dorney, C. Chen, O.G. Shpyrko, E.E. Fullerton, O. Cohen, P.M. Oppeneer, D.B. Milošević, A. Becker, A.A. Jaroń-Becker, T. Popmintchev, M.M. Murnane, H.C. Kapteyn, Proc. Natl. Acad. Sci. USA 112, 14206 (2015)

    ADS  Google Scholar 

  20. C. Chen, Z. Tao, C. Hernández-Garca, P. Matyba, A. Carr, R. Knut, O. Kfir, D. Zusin, C. Gentry, P. Grychtol, O. Cohen, L. Plaja, A. Becker, A. Jaron-Becker, H. Kapteyn, M. Murnane, Sci. Adv. 2, e1501333 (2016)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  23. K.-J. Yuan, A.D. Bandrauk, Phys. Rev. A 97, 023408 (2018)

    ADS  Google Scholar 

  24. Á. Jiménez-Galán, N. Zhavoronkov, D. Ayuso, F. Morales, S. Patchkovskii, M. Schloz, E. Pisanty, O. Smirnova, M. Ivanov, Phys. Rev. A 97, 023409 (2018)

    ADS  Google Scholar 

  25. J. Heslar, D.A. Telnov, S.-I. Chu, Phys. Rev. A 97, 043419 (2018)

    ADS  Google Scholar 

  26. M.V. Frolov, N.L. Manakov, A.A. Minina, N.V. Vvedenskii, A.A. Silaev, MYu Ivanov, A.F. Starace, Phys. Rev. Lett. 120, 263203 (2018)

    ADS  Google Scholar 

  27. D.B. Milošević, Phys. Rev. A 97, 033405 (2018)

    ADS  Google Scholar 

  28. M.V. Frolov, N.L. Manakov, A.A. Minina, A.A. Silaev, N.V. Vvedenskii, MYu Ivanov, A.F. Starace, Phys. Rev. A 99, 053403 (2019)

    ADS  Google Scholar 

  29. Y. Hahn, Rep. Prog. Phys. 60, 691 (1997)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  33. A. Jaroń, J.Z. Kamiński, F. Ehlotzky, J. Phys. B 34, 1221 (2001)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  35. J.Z. Kamiński, F. Ehlotzky, Phys. Rev. A 71, 043402 (2005)

    ADS  Google Scholar 

  36. J.Z. Kamiński, F. Ehlotzky, J. Mod. Opt. 53, 7 (2006)

    ADS  Google Scholar 

  37. S. Bivona, R. Burlon, G. Ferrante, C. Leone, Opt. Express 14, 3715 (2006)

    ADS  Google Scholar 

  38. S. Bivona, R. Burlon, C. Leone, Laser Phys. Lett. 4, 44 (2007)

    ADS  Google Scholar 

  39. D.B. Milošević, F. Ehlotzky, Phys. Rev. A 65, 042504 (2002)

    ADS  Google Scholar 

  40. D.B. Milošević, F. Ehlotzky, J. Mod. Opt. 50, 657 (2003)

    ADS  Google Scholar 

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

    Google Scholar 

  42. A.N. Zheltukhin, N.L. Manakov, A.V. Flegel, M.V. Frolov, JETP Lett. 94, 599 (2011)

    Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  46. K.R. Overstreet, R.R. Jones, T.F. Gallagher, Phys. Rev. Lett. 106, 033002 (2011)

    ADS  Google Scholar 

  47. T. Mohamed, G. Andler, M. Fogle, E. Justiniano, S. Madzunkov, R. Schuch, Phys. Rev. A 83, 032702 (2011)

    ADS  Google Scholar 

  48. U. Schramm, J. Berger, M. Grieser, D. Habs, E. Jaeschke, G. Kilgus, D. Schwalm, A. Wolf, R. Neumann, R. Schuch, Phys. Rev. Lett. 67, 22 (1991)

    ADS  Google Scholar 

  49. A. Scrinzi, N. Elander, A. Wolf, Z. Phys. D 34, 185 (1995)

    ADS  Google Scholar 

  50. U. Schramm, T. Schüssler, D. Habs, D. Schwalm, A. Wolf, Hyperfine Interact. 99, 309 (1996)

    ADS  Google Scholar 

  51. U. Schramm, A. Wolf, T. Schüßler, D. Habs, D. Schwalm, O. Uwira, J. Linkemann, A. Müller, Hyperfine Interact. 108, 273 (1997)

    ADS  Google Scholar 

  52. M.L. Rogelstad, F.B. Yousif, T.J. Morgan, J.B.A. Mitchell, J. Phys. B 30, 3913 (1997)

    ADS  Google Scholar 

  53. C. Wesdorp, F. Robicheaux, L.D. Noordam, Phys. Rev. Lett. 84, 3799 (2000)

    ADS  Google Scholar 

  54. G. Gabrielse, Adv. At. Mol. Opt. Phys. 50, 155 (2005)

    ADS  Google Scholar 

  55. R.A. Müller, D. Seipt, S. Fritzsche, A. Surzhykov, Phys. Rev. A 92, 053426 (2015)

    ADS  Google Scholar 

  56. V.A. Zaytsev, V.G. Serbo, V.M. Shabaev, Phys. Rev. A 95, 012702 (2017)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  65. A. Kramo, E. Hasović, D.B. Milošević, W. Becker, Laser Phys. Lett. 4, 279 (2007)

    ADS  Google Scholar 

  66. E. Hasović, A. Kramo, D.B. Milošević, Eur. Phys. J. Special Topics 160, 205 (2008)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  68. S. Odžak, E. Hasović, W. Becker, D.B. Milošević, J. Mod. Opt. 64, 971 (2017)

    ADS  Google Scholar 

  69. C.A. Mancuso, K.M. Dorney, D.D. Hickstein, J.L. Chaloupka, X.-M. Tong, J.L. Ellis, H.C. Kapteyn, M.M. Murnane, Phys. Rev. A 93, 053406 (2016)

    ADS  Google Scholar 

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Correspondence to Aner Čerkić.

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Tutmić, A., Čerkić, A., Busuladžić, M. et al. Role of the relative phase and intensity ratio in electron-ion recombination assisted by a bicircular laser field. Eur. Phys. J. D 73, 231 (2019). https://doi.org/10.1140/epjd/e2019-100346-0

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