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Molecules in a bicircular strong laser field

  • Dino HabibovićEmail author
  • Aner Čerkić
  • Mustafa Busuladžić
  • Azra Gazibegović-Busuladžić
  • Senad Odžak
  • Elvedin Hasović
  • Dejan B. Milošević
Article
  • 121 Downloads
Part of the following topical collections:
  1. Focus on Optics and Bio-photonics, Photonica 2017

Abstract

Strong-field ionization of nonlinear planar triatomic molecules by a bicircular laser field is analyzed within the improved molecular strong-field approximation. Our calculations include additional interaction between the liberated electrons and atomic or ionic centers of the parent molecular ion. The used bicircular field consists of two counterrotating circularly polarized fields having angular frequencies \(r \omega\) and \(s \omega\), with integer r and s. In the case when the laser-field-polarization plane is parallel to the plane of the considered molecule (example of ozone molecule is analyzed), the corresponding photoelectron spectra are not rotationally symmetric. On the other hand, when these planes are mutually perpendicular, for the \((r\omega ,s\omega )=(\omega ,3\omega )\) bicircular field, the electron spectra satisfy the corresponding rotational symmetries. Analyzing the obtained spectra and the corresponding symmetries, one can extract information about molecular orientation and structure. This technique may also be useful for more complex polyatomic molecules.

Keywords

Improved molecular strong-field approximation High-order above-threshold ionization Reflection and rotational symmetry 

Notes

Acknowledgements

Support by the Federal Ministry of Education and Science, Bosnia and Herzegovina, is gratefully acknowledged. This work was also supported in part by the Deutsche Forschungsgemeinschaft (DFG) within the Priority Programme Quantum Dynamics in Tailored Intense Fields (QUTIF).

References

  1. Agostini, P., Fabre, F., Petite, G., Rahman, N.K.: Free-free transitions following six-photon ionization of xenon atoms. Phys. Rev. Lett. 42, 1127–1130 (1979)ADSCrossRefGoogle Scholar
  2. Alon, O.E., Averbukh, V., Moiseyev, N.: Selection rules for the high harmonic generation spectra. Phys. Rev. Lett. 80, 3743–3746 (1998)ADSCrossRefGoogle Scholar
  3. Baykusheva, D., Ahsan, M.S., Lin, N., Wörner, H.J.: Bicircular high-harmonic spectroscopy reveals dynamical symmetries of atoms and molecules. Phys. Rev. Lett. 116, 123001 (2016)ADSCrossRefGoogle Scholar
  4. Becker, W., Chichkov, B.N., Wellegehausen, B.: Schemes for the generation of circularly polarized high-order harmonics by two-color mixing. Phys. Rev. A 60, 1721–1722 (1999)ADSCrossRefGoogle Scholar
  5. Becker, W., Grasbon, F., Kopold, R., Milošević, D.B., Paulus, G.G., Walther, H.: Above-threshold ionization: from classical features to quantum effects. Adv. At. Mol. Opt. Phys. 48, 35–58 (2002)ADSCrossRefGoogle Scholar
  6. Busuladžić, M., Gazibegović-Busuladžić, A., Milošević, D.B., Becker, W.: Angle-resolved high-order above-threshold ionization of a molecule: sensitive tool for molecular characterization. Phys. Rev. Lett. 100, 203003 (2008)ADSCrossRefGoogle Scholar
  7. Busuladžić, M.B., Gazibegović-Busuladžić, A., Milošević, D.B.: Strong-field ionization of homonuclear diatomic molecules by a bicircular laser field: rotational and reflection symmetries. Phys. Rev. A 95, 033411 (2017)ADSCrossRefGoogle Scholar
  8. Chen, C., Tao, Z., Hernández-García, C., Matyba, P., Carr, A., Knut, R., Kfir, O., Zusin, D., Gentry, C., Grychtol, P., Cohen, O., Plaja, L., Becker, A., Jaroń-Becker, A., Kapteyn, H.C., Murnane, M.M.: Tomographic reconstruction of circularly polarized high-harmonic fields: 3D attosecond metrology. Sci. Adv. 2, e1501333 (2016)ADSCrossRefGoogle Scholar
  9. Corkum, P.B.: Plasma perspective on strong field multiphoton ionization. Phys. Rev. Lett. 71, 1994–1997 (1993)ADSCrossRefGoogle Scholar
  10. Čerkić, A., Busuladžić, M., Milošević, D.B.: Electron-ion radiative recombination assisted by a bichromatic elliptically polarized laser field. Phys. Rev. A 95, 063401 (2017)CrossRefGoogle Scholar
  11. Eichmann, H., Egbert, A., Nolte, S., Momma, C., Wellegehausen, B., Becker, W., Long, S., McIver, J.K.: Polarization-dependent high-order two-color mixing. Phys. Rev. A 51, R3414–R3417 (1995)ADSCrossRefGoogle Scholar
  12. Fan, T., Grychtol, P., Knut, R., Hernández-García, C., Hickstein, D.D., Zusin, D., Gentry, C., Dollar, J.F., Mancuso, C.A., Hogle, C.W., Kfir, O., Legut, D., Carva, K., Ellis, J.L., Dorney, K.M., Chen, C., Shpyrko, O.G., Fullerton, E.E., Cohen, O., Oppeneer, P.M., Milošević, D.B., Becker, A., Jaroń-Becker, A.A., Popmintchev, T., Murnane, M.M., Kapteyn, H.C.: Bright circularly polarized soft x-ray high harmonics for x-ray magnetic circular dichroism. Proc. Natl. Acad. Sci. USA 112, 14206–14211 (2015)Google Scholar
  13. Fleischer, A., Kfir, O., Diskin, T., Sidorenko, P., Cohen, O.: Spin angular momentum and tunable polarization in high-harmonic generation. Nat. Photon. 8, 543–549 (2014)ADSCrossRefGoogle Scholar
  14. Hasović, E., Becker, W., Milošević, D.B.: Electron rescattering in a bicircular laser field. Opt. Express. 24, 6413–6424 (2016)ADSCrossRefGoogle Scholar
  15. Hasović, E., Kramo, A., Milošević, D.B.: Energy- and angle-resolved photoelectron spectra of above-threshold ionization and detachment. Eur. Phys. J. Spec. Top. 160, 205–216 (2008)CrossRefGoogle Scholar
  16. Hasović, E., Milošević, D.B.: Strong-field approximation for above-threshold ionization of polyatomic molecules. Phys. Rev. A 86, 043429 (2012)ADSCrossRefGoogle Scholar
  17. Hasović, E., Milošević, D.B.: Strong-field approximation for above-threshold ionization of polyatomic molecules. II. The role of electron rescattering off the molecular centers. Phys. Rev. A 89, 053401 (2014)Google Scholar
  18. Hasović, E., Milošević, D.B., Gazibegović-Busuladžić, A., Čerkić, A., Busuladžić, M.: Molecular above-threshold ionization spectra as an evidence of the three-point interference of electron wave packets. J. Phys. Conf. Ser. 594, 012056 (2015)CrossRefGoogle Scholar
  19. Kanai, T., Minemoto, N., Sakai, H.: Quantum interference during high-order harmonic generation from aligned molecules. Nature 435, 470–474 (2005)ADSCrossRefGoogle Scholar
  20. Kang, H., Quan, W., Wang, Y., Lin, Z., Wu, M., Liu, H., Liu, X., Wang, B.B., Liu, H.J., Gu, Y.Q., Jia, X.Y., Liu, J., Chen, J., Cheng, Y.: Structure effects in angle-resolved high-order above-threshold ionization of molecules. Phys. Rev. Lett. 104, 203001 (2010)ADSCrossRefGoogle Scholar
  21. Kfir, O., Grychtol, P., Turgut, E., Knut, R., Zusin, D., Popmintchev, D., Popmintchev, T., Nembach, H., Shaw, J.M., Fleischer, A., Kapteyn, H., Murnane, M., Cohen, O.: Generation of bright phase-matched circularly polarized extreme ultraviolet high harmonics. Nat. Photon. 9, 99–105 (2015)ADSCrossRefGoogle Scholar
  22. Korajac, A., Habibović, D., Čerkić, A., Busuladžić, M., Milošević, D.B.: Electron-atom potential scattering assisted by a bichromatic elliptically polarized laser field. Eur. Phys. J. D 71, 251 (2017)ADSCrossRefGoogle Scholar
  23. Kramo, A., Hasović, E., Milošević, D.B., Becker, W.: Above-threshold detachment by a two-color bicircular laser field. Laser. Phys. Lett. 4, 279–286 (2007)ADSCrossRefGoogle Scholar
  24. Kulander, K.C., Schafer, K.J., Krause, J.L.: Super-Intense Laser-Atom Physics. NATO Advanced Studies Institute, Serie B: Physics vol 316. In: Piraux, B., L’Huillier, A., Rza̧żewski, K. (eds.), vol. 316, pp. 95–110. Plenum, New York (1993)Google Scholar
  25. Lein, M., Hay, N., Velotta, R., Marangos, J.P., Knight, P.L.: Role of the intramolecular phase in high-harmonic generation. Phys. Rev. Lett. 88, 183903 (2002)ADSCrossRefGoogle Scholar
  26. Li, M., Sun, X., Xie, X., Shao, Y., Deng, Y., Wu, C., Gong, Q., Liu, Y.: Revealing backward rescattering photoelectron interference of molecules in strong infrared laser fields. Sci. Rep. 5, 8519 (2015)ADSCrossRefGoogle Scholar
  27. Long, S., Becker, W., McIver, J.K.: Model calculations of polarization-dependent two-color high-harmonic generation. Phys. Rev. A 52, 2262–2278 (1995)ADSCrossRefGoogle Scholar
  28. Mancuso, C.A., Hickstein, D.D., Dorney, K.M., Ellis, J.L., Hasović, E., Knut, R., Grychtol, P., Gentry, C., Gopalakrishnan, M., Zusin, D., Dollar, F.J., Tong, X.-M., Milošević, D.B., Becker, W., Kapteyn, H.C., Murnane, M.M.: Controlling electron-ion rescattering in two-color circularly polarized femtosecond laser fields. Phys. Rev. A 93, 053406 (2016)ADSCrossRefGoogle Scholar
  29. Mancuso, C.A., Hickstein, D.D., Grychtol, P., Knut, R., Kfir, O., Tong, X.M., Dollar, F., Zusin, D.D., Gopalakrishnan, M., Gentry, C., Turgut, E., Ellis, J.L.J.L., Chen, M.-C., Fleischer, A., Cohen, O., Kapteyn, H.C., Murnane, M.M.: Strong-field ionization with two-color circularly polarized laser fields. Phys. Rev. A 91, 031402(R) (2015)Google Scholar
  30. Mauger, F., Bandrauk, A.D., Uzer, T.: Circularly polarized molecular high harmonic generation using a bicircular laser. J. Phys. B 49, 10LT01 (2016)CrossRefGoogle Scholar
  31. Medišauskas, L., Wragg, J.J., van derHart, H., Ivanov, M.Y.: Generating isolated elliptically polarized attosecond pulses using bichromatic counterrotating circularly polarized laser fields. Phys. Rev. Lett. 115, 153001 (2015)ADSCrossRefGoogle Scholar
  32. Milošević, D.B.: Strong-field approximation for ionization of a diatomic molecule by a strong laser field. Phys. Rev. A 74, 063404 (2006)ADSCrossRefGoogle Scholar
  33. Milošević, D.B.: Circularly polarized high harmonics generated by a bicircular field from inert atomic gases in the \(p\) state: a tool for exploring chirality-sensitive processes. Phys. Rev. A 92, 043827 (2015a)ADSCrossRefGoogle Scholar
  34. Milošević, D.B.: Generation of elliptically polarized attosecond pulse trains. Opt. Lett. 40, 2381–2384 (2015b)ADSCrossRefGoogle Scholar
  35. Milošević, D.B.: High-order harmonic generation by a bichromatic elliptically polarized field: conservation of angular momentum. J. Phys. B 48, 171001 (2015c)ADSCrossRefGoogle Scholar
  36. Milošević, D.B., Becker, W.: Attosecond pulse trains with unusual nonlinear polarization. Phys. Rev. A 62, 011403(R) (2000)ADSCrossRefGoogle Scholar
  37. Milošević, D.B., Becker, W.: Improved strong-field approximation and quantum-orbit theory: application to ionization by a bicircular laser field. Phys. Rev. A 93, 063418 (2016)ADSCrossRefGoogle Scholar
  38. Milošević, D.B., Becker, W., Kopold, R.: Generation of circularly polarized high-order harmonics by two-color coplanar field mixing. Phys. Rev. A 61, 063403 (2000)ADSCrossRefGoogle Scholar
  39. Milošević, D.B., Becker, W., Kopold, R., Sandner, W.: High-harmonic generation by a bichromatic bicircular laser field. Laser Phys. 11, 165–168 (2001)Google Scholar
  40. Milošević, D.B., Sandner, W.: Extreme-ultraviolet harmonic generation near 13 nm with a two-color elliptically polarized laser field. Opt. Lett. 25, 1532–1534 (2000)ADSCrossRefGoogle Scholar
  41. Odžak, S., Hasović, E., Becker, W., Milošević, D.B.: Atomic processes in bicircular fields. J. Mod. Opt. 64, 971–980 (2017)ADSCrossRefGoogle Scholar
  42. Odžak, S., Hasović, E., Milošević, D.B.: High-order harmonic generation in polyatomic molecules induced by a bicircular laser field. Phys. Rev. A 94, 033419 (2016)ADSCrossRefGoogle Scholar
  43. Odžak, S., Milošević, D.B.: Interference effects in high-order harmonic generation by homonuclear diatomic molecules. Phys. Rev. A 79, 023414 (2009)ADSCrossRefGoogle Scholar
  44. Odžak, S., Milošević, D.B.: Bicircular-laser-field-assisted electron-ion radiative recombination. Phys. Rev. A 92, 053416 (2015)ADSCrossRefGoogle Scholar
  45. Okunishi, M., Itaya, R., Shimada, K., Prümper, G., Ueda, K., Busuladžić, M., Gazibegović-Busuladžić, A., Milošević, D.B., Becker, W.: Two-source double-slit interference in angle-resolved high-energy above-threshold ionization spectra of diatoms. Phys. Rev. Lett. 103, 043001 (2009)ADSCrossRefGoogle Scholar
  46. Paulus, G.G., Nicklich, W., Xu, H., Lambropoulos, P., Walther, H.: Plateau in above threshold ionization spectra. Phys. Rev. Lett. 72, 2851–2854 (1994)ADSCrossRefGoogle Scholar
  47. Petersen, I., Henkel, J., Lein, M.: Signatures of molecular orbital structure in lateral electron momentum distributions from strong-field ionization. Phys. Rev. Lett. 114, 103004 (2015)ADSCrossRefGoogle Scholar
  48. Pisanty, E., Ivanov, M.: Taking control of polarization. Nat. Photon. 8, 501–503 (2014)ADSCrossRefGoogle Scholar
  49. Pisanty, E., Sukiasyan, S., Ivanov, M.: Spin conservation in high-order-harmonic generation using bicircular fields. Phys. Rev. A 90, 043829 (2014)ADSCrossRefGoogle Scholar
  50. Reich, D.M., Madsen, L.B.: Illuminating molecular symmetries with bicircular high-order-harmonic generation. Phys. Rev. Lett. 117, 133902 (2016)ADSCrossRefGoogle Scholar
  51. Schmidt, M.W., Baldridge, K.K., Boatz, J.A., Elbert, S.T., Gordon, M.S., Jensen, J.H., Koseki, S., Matsunaga, N., Nguyen, K.A., Su, S., Windus, T.L., Dupuis, M., Montgomery Jr., J.A.: General atomic and molecular electronic structure system. J. Comput. Chem. 14, 1347–1363 (1993)CrossRefGoogle Scholar
  52. Vozzi, C., Calegari, F., Benedetti, E., Caumes, J.P., Sansone, G., Stagira, S., Nisoli, M., Torres, R., Heesel, E., Kajumba, N., Marangos, J.P., Altucci, C., Velotta, R.: Controlling two-center interference in molecular high harmonic generation. Phys. Rev. Lett. 95, 153902 (2005)ADSCrossRefzbMATHGoogle Scholar
  53. Zuo, T., Bandrauk, A.D.: High-order harmonic generation in intense laser and magnetic fields. J. Nonlinear Opt. Phys. Mater. 04, 533–546 (1995)ADSCrossRefGoogle Scholar

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Authors and Affiliations

  1. 1.Faculty of ScienceUniversity of SarajevoSarajevoBosnia and Herzegovina
  2. 2.Max-Born-InstitutBerlinGermany
  3. 3.Faculty of MedicineUniversity of SarajevoSarajevoBosnia and Herzegovina
  4. 4.Academy of Sciences and Arts of Bosnia and HerzegovinaSarajevoBosnia and Herzegovina

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