Abstract

We theoretically investigate the strong-field ionization of H2+ in circularly polarized laser fields by calculating the photoelectron energy spectra and the logarithm of the differential ionization rate. In circular polarization laser fields, if the emission directions of a photoelectron are averaged, the photoelectron energy spectra usually have a bell shape and a single broad peak at the middle-energy region (Ren et al. [Phys. Rev. A 78, 043411 (2008)]). In this paper, our theoretical results show that when the emission directions of a photoelectron are not averaged, the photoelectron energy spectrum has a complex double-peak or a multipeak structure with interference valleys. The locations of the interference valleys are independent of the laser intensity, but dependent on the emission direction and final kinetic energy of the photoelectron. In order to completely understand the interference effect, we also carry out the calculations for the logarithm of the differential ionization rate. We find that the interference light and dark stripes alternate with the emission directions and kinetic energies of the photoelectron: if Pf·R2kπ (k=0,1,2,3,), the interference stripes are light; if Pf·R(2k+1)π (k=0,1,2,3,), the interference stripes are dark. No matter what the kinetic energies of the photoelectron are, for the emission direction of φf=π/2 the stripes are always light.

© 2012 Optical Society of America

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  3. L. Pei and C. Guo, “Nonsequential double ionization of triatomic molecules in strong laser fields,” Phys. Rev. A 82, 021401(R) (2010).
  4. Y. M. Zhou, Q. Liao, Q. B. Zhang, W. Y. Hong, and P. X. Lu, “Controlling nonsequential double ionization via two-color few-cycle pulses,” Opt. Express 18, 632–638 (2010).
    [CrossRef]
  5. H. D. Cohen and U. Fano, “Interference in the photo-ionization of molecules,” Phys. Rev. 150, 30–33 (1966).
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  6. M. Walter and J. Briggs, “Photo-double ionization of molecular hydrogen,” J. Phys. B 32, 2487 (1999).
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  7. N. Stolterfoht, B. Sulik, V. Hoffmann, B. Skogvall, J. Y. Chesnel, J. Rangama, F. Fremont, D. Hennecart, A. Cassimi, X. Husson, A. L. Landers, J. A. Tanis, M. E. Galassi, and R. D. Rivarola, “Evidence for interference effects in electron emission from H2 colliding with 60  MeV/uKr34+ ions,” Phys. Rev. Lett. 87, 023201 (2001).
    [CrossRef]
  8. Y. J. Chen and B. Hu, “Intense field ionization of diatomic molecules: two-center interference and tunneling,” Phys. Rev. A 81, 013411 (2010).
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  9. Y. C. Guo, P. M. Fu, Z. C. Yan, J. B. Gong, and B. B. Wang, “Imaging the geometrical structure of the H2+ molecular ion by high-order above-threshold ionization in an intense laser field,” Phys. Rev. A 80, 063408 (2009).
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  10. S. Chatterjee, D. Misra, A. H. Kelkar, and L. C. Tribedi, “Young-type interference effect on angular distribution of secondary electrons emitted from H2 in collisions with fast electrons,” Phys. Rev. A 78, 052701 (2008).
    [CrossRef]
  11. L. Nagy, S. Borbély, and K. Póra, “Interference effects in the photoionization of molecular hydrogen,” Phys. Lett. A 327, 481–489 (2004).
    [CrossRef]
  12. M. Meckel, D. Comtois, D. Zeidler, A. Staudte, D. Pavičić, H. C. Bandulet, H. Pépin, J. C. Kieffer, R. Dörner, D. M. Villeneuve, and P. B. Corkum, “Laser-induced electron tunneling and diffraction,” Science 320, 1478–1482 (2008).
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  18. X. H. Ren, J. T. Zhang, P. Liu, Y. Wang, and Z. Z. Xu, “Ionization suppression of diatomic molecules in strong laser fields,” Phys. Rev. A 78, 043411 (2008).
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    [CrossRef]
  20. S. L. Chin, Y. Liang, J. E. Decker, F. A. Ilkov, and M. V. Ammosov, “Tunnel ionization of diatomic molecules by an intense CO2 laser,” J. Phys. B 25, L249 (1992).
    [CrossRef]
  21. T. D. G. Walsh, F. A. Ilkov, J. E. Decker, and S. L. Chin, “The tunnel ionization of atoms, diatomic and triatomic molecules using intense 10.6 μm radiation,” J. Phys. B 27, 3767 (1994).
    [CrossRef]
  22. C. Guo, M. Li, J. P. Nibarger, and G. N. Gibson, “Single and double ionization of diatomic molecules in strong laser fields,” Phys. Rev. A 58, R4271–R4274 (1998).
    [CrossRef]
  23. J. Muth-Böhm, A. Becker, and F. H. M. Faisal, “Suppressed molecular ionization for a class of diatomics in intense femtosecond laser fields,” Phys. Rev. Lett. 85, 2280–2283 (2000).
    [CrossRef]
  24. C. Vozzi, F. Calegari, E. Benedetti, J. P. Caumes, G. Sansone, S. Stagira, and M. Nisoli, “Controlling two-center interference in molecular high harmonic generation,” Phys. Rev. Lett. 95, 153902 (2005).
    [CrossRef]
  25. X. H. Ren and T. Nakajima, “Strong-field ionization of a heteronuclear diatomic molecule,” Phys. Rev. A 82, 063410 (2010).
    [CrossRef]
  26. A. S. Baltenkov, U. Becker, S. T. Manson, and A. Z. Msezane, “Interference in the molecular photoionization and Young’s double-slit experiment,” J. Phys. B 45, 035202 (2012).
    [CrossRef]
  27. D. Rolles, M. Braune, S. Cvejanović, O. Geßner, R. Hentges, S. Korica, B. Langer, T. Lischke, G. Prümper, A. Reinköster, J. Viefhaus, B. Zimmermann, V. McKoy, and U. Becker, “Isotope-induced partial localization of core electrons in the homonuclear molecule N2,” Nature (London) 437, 711–715 (2005).
    [CrossRef]
  28. X. Zhu, Q. Zhang, W. Hong, P. Lu, and Z. Xu, “Molecular orbital imaging via above-threshold ionization with circularly polarized pulses,” Opt. Express 19, 13722 (2011).
    [CrossRef]
  29. L. Holmegaard, J. L. Hansen, L. Kalhøj, S. L. Kragh, H. Stapelfeldt, F. Filsinger, J. Küpper, G. Meijer, D. Dimitrovski, M. Abu-samha, C. P. J. Martiny, and L. B. Madsen, “Photoelectron angular distributions from strong-field ionization of oriented molecules,” Nat. Phys. 6, 428–432 (2010).
    [CrossRef]
  30. D. Dimitrovski, C. P. J. Martiny, and L. B. Madsen, “Strong-field ionization of polar molecules: Stark-shift-corrected strong-field approximation,” Phys. Rev. A 82, 053404 (2010).
    [CrossRef]
  31. M. Abu-samha and L. B. Madsen, “Photoelectron angular distributions from polar molecules probed by intense femtosecond lasers,” Phys. Rev. A 82, 043413 (2010).
    [CrossRef]
  32. Q. Liao, P. Lu, P. Lan, W. Cao, and Y. Li, “Phase dependence of high-order above-threshold ionization in asymmetric molecules,” Phys. Rev. A 77, 013408 (2008).
    [CrossRef]
  33. B. Wang, Y. Guo, B. Zhang, Z. Zhao, Z.-C. Yan, and P. Fu, “Charge-distribution effect of imaging molecular structure by high-order above-threshold ionization,” Phys. Rev. A 82, 043402(2010).
    [CrossRef]
  34. E. Hasović, M. Busuladžić, W. Becker, and D. B. Milošević, “Dressed-bound-state molecular strong-field approximation: application to above-threshold ionization of heteronuclear diatomic molecules,” Phys. Rev. A 84, 063418 (2011).
    [CrossRef]
  35. X. Zhu, Q. Zhang, W. Hong, P. Lu, and Z. Xu, “Laser-polarization-dependent photoelectron angular distributions from polar molecules,” Opt. Express 19, 24189 (2011).
  36. M. Busuladžić, A. Gazibegović-Busuladžić, and D. B. Milošević, “Strong-field approximation for ionization of a diatomic molecule by a strong laser field. III. High-order above-threshold ionization by an elliptically polarized field,” Phys. Rev. A 80, 013420 (2009).
    [CrossRef]
  37. M. Busuladžić, A. Gazibegović-Busuladžić, and D. B. Milošević, “Ellipticity dependence of high-order above-threshold ionization from aligned diatomic molecules,” Laser Phys. 20, 1001–1008 (2010).
    [CrossRef]
  38. K.-J. Yuan and A. D. Bandrauk, “Angle-dependent molecular above-threshold ionization with ultrashort intense linearly and circularly polarized laser pulses,” Phys. Rev. A 84, 013426 (2011).
    [CrossRef]
  39. D. Pavičić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett. 98, 243001 (2007).
    [CrossRef]
  40. J. Slater, “Atomic shielding constants,” Phys. Rev. 36, 57–64 (1930).
    [CrossRef]
  41. J. Fernández and L. B. Madsen, “Alignment dependence in above-threshold ionization of H2+: role of intermediate resonances,” J. Phys. B 42, 085602 (2009).
    [CrossRef]
  42. A. Picón, A. Bahabad, H. C. Kapteyn, M. M. Murnane, and A. Becker, “Two-center interferences in photoionization of a dissociating H2+ molecule,” Phys. Rev. A 83, 013414(2011).
    [CrossRef]
  43. O. A. Fojón, J. Fernandez, A. Palacios, R. D. Rivarola, and F. Martin, “Interference effects in H2 photoionization at high energies,” J. Phys. B 37, 3035–3042 (2004).
    [CrossRef]
  44. G. L. Yudin, S. Chelkowski, and A. D. Bandrauk, “Coulomb continuum effects in molecular interference,” J. Phys. B 39, L17 (2006).
  45. R. Della Picca, P. D. Fainstein, and A. Dubois, “Cooper minima and Young-type interferences in the photoionization of H2+,” Phys. Rev. A 84, 033405 (2011).
    [CrossRef]
  46. D. B. Milošević, “Strong-field approximation for ionization of a diatomic molecule by a strong laser field,” Phys. Rev. A 74, 063404 (2006).
    [CrossRef]
  47. H. R. Reiss, “Effect of an intense electromagnetic field on a weakly bound system,” Phys. Rev. A 22, 1786–1813 (1980).
    [CrossRef]
  48. A. Becker and F. H. M. Faisal, “Intense-field many-body S-matrix theory,” J. Phys. B 38, R1 (2005).
    [CrossRef]
  49. D. M. Volkov, “The solution for wave equations for a spin-charged particle moving in a classical field,” Z. Phys. 94, 250–260 (1935).
    [CrossRef]
  50. V. I. Usachenko and S.-I. Chu, “Strong-field ionization of laser-irradiated light homonuclear diatomic molecules: a generalized strong-field approximationalinear combination of atomic orbitals model,” Phys. Rev. A 71, 063410 (2005).
    [CrossRef]
  51. G. L. Kamta and A. D. Bandrauk, “Imaging electron molecular orbitals via ionization by intense femtosecond pulses,” Phys. Rev. A 74, 033415 (2006).
    [CrossRef]

2012 (2)

C. A. Tachino, F. Martin, and R. D. Rivarola, “Theoretical study of interference effects in single electron ionization of N2 molecules by proton impact,” J. Phys. B 45, 025201 (2012).
[CrossRef]

A. S. Baltenkov, U. Becker, S. T. Manson, and A. Z. Msezane, “Interference in the molecular photoionization and Young’s double-slit experiment,” J. Phys. B 45, 035202 (2012).
[CrossRef]

2011 (6)

X. Zhu, Q. Zhang, W. Hong, P. Lu, and Z. Xu, “Molecular orbital imaging via above-threshold ionization with circularly polarized pulses,” Opt. Express 19, 13722 (2011).
[CrossRef]

E. Hasović, M. Busuladžić, W. Becker, and D. B. Milošević, “Dressed-bound-state molecular strong-field approximation: application to above-threshold ionization of heteronuclear diatomic molecules,” Phys. Rev. A 84, 063418 (2011).
[CrossRef]

X. Zhu, Q. Zhang, W. Hong, P. Lu, and Z. Xu, “Laser-polarization-dependent photoelectron angular distributions from polar molecules,” Opt. Express 19, 24189 (2011).

K.-J. Yuan and A. D. Bandrauk, “Angle-dependent molecular above-threshold ionization with ultrashort intense linearly and circularly polarized laser pulses,” Phys. Rev. A 84, 013426 (2011).
[CrossRef]

A. Picón, A. Bahabad, H. C. Kapteyn, M. M. Murnane, and A. Becker, “Two-center interferences in photoionization of a dissociating H2+ molecule,” Phys. Rev. A 83, 013414(2011).
[CrossRef]

R. Della Picca, P. D. Fainstein, and A. Dubois, “Cooper minima and Young-type interferences in the photoionization of H2+,” Phys. Rev. A 84, 033405 (2011).
[CrossRef]

2010 (9)

B. Wang, Y. Guo, B. Zhang, Z. Zhao, Z.-C. Yan, and P. Fu, “Charge-distribution effect of imaging molecular structure by high-order above-threshold ionization,” Phys. Rev. A 82, 043402(2010).
[CrossRef]

M. Busuladžić, A. Gazibegović-Busuladžić, and D. B. Milošević, “Ellipticity dependence of high-order above-threshold ionization from aligned diatomic molecules,” Laser Phys. 20, 1001–1008 (2010).
[CrossRef]

L. Holmegaard, J. L. Hansen, L. Kalhøj, S. L. Kragh, H. Stapelfeldt, F. Filsinger, J. Küpper, G. Meijer, D. Dimitrovski, M. Abu-samha, C. P. J. Martiny, and L. B. Madsen, “Photoelectron angular distributions from strong-field ionization of oriented molecules,” Nat. Phys. 6, 428–432 (2010).
[CrossRef]

D. Dimitrovski, C. P. J. Martiny, and L. B. Madsen, “Strong-field ionization of polar molecules: Stark-shift-corrected strong-field approximation,” Phys. Rev. A 82, 053404 (2010).
[CrossRef]

M. Abu-samha and L. B. Madsen, “Photoelectron angular distributions from polar molecules probed by intense femtosecond lasers,” Phys. Rev. A 82, 043413 (2010).
[CrossRef]

X. H. Ren and T. Nakajima, “Strong-field ionization of a heteronuclear diatomic molecule,” Phys. Rev. A 82, 063410 (2010).
[CrossRef]

L. Pei and C. Guo, “Nonsequential double ionization of triatomic molecules in strong laser fields,” Phys. Rev. A 82, 021401(R) (2010).

Y. M. Zhou, Q. Liao, Q. B. Zhang, W. Y. Hong, and P. X. Lu, “Controlling nonsequential double ionization via two-color few-cycle pulses,” Opt. Express 18, 632–638 (2010).
[CrossRef]

Y. J. Chen and B. Hu, “Intense field ionization of diatomic molecules: two-center interference and tunneling,” Phys. Rev. A 81, 013411 (2010).
[CrossRef]

2009 (3)

Y. C. Guo, P. M. Fu, Z. C. Yan, J. B. Gong, and B. B. Wang, “Imaging the geometrical structure of the H2+ molecular ion by high-order above-threshold ionization in an intense laser field,” Phys. Rev. A 80, 063408 (2009).
[CrossRef]

M. Busuladžić, A. Gazibegović-Busuladžić, and D. B. Milošević, “Strong-field approximation for ionization of a diatomic molecule by a strong laser field. III. High-order above-threshold ionization by an elliptically polarized field,” Phys. Rev. A 80, 013420 (2009).
[CrossRef]

J. Fernández and L. B. Madsen, “Alignment dependence in above-threshold ionization of H2+: role of intermediate resonances,” J. Phys. B 42, 085602 (2009).
[CrossRef]

2008 (4)

Q. Liao, P. Lu, P. Lan, W. Cao, and Y. Li, “Phase dependence of high-order above-threshold ionization in asymmetric molecules,” Phys. Rev. A 77, 013408 (2008).
[CrossRef]

S. Chatterjee, D. Misra, A. H. Kelkar, and L. C. Tribedi, “Young-type interference effect on angular distribution of secondary electrons emitted from H2 in collisions with fast electrons,” Phys. Rev. A 78, 052701 (2008).
[CrossRef]

X. H. Ren, J. T. Zhang, P. Liu, Y. Wang, and Z. Z. Xu, “Ionization suppression of diatomic molecules in strong laser fields,” Phys. Rev. A 78, 043411 (2008).
[CrossRef]

M. Meckel, D. Comtois, D. Zeidler, A. Staudte, D. Pavičić, H. C. Bandulet, H. Pépin, J. C. Kieffer, R. Dörner, D. M. Villeneuve, and P. B. Corkum, “Laser-induced electron tunneling and diffraction,” Science 320, 1478–1482 (2008).
[CrossRef]

2007 (2)

D. Akoury, K. Kreidi, T. Jahnke, Th. Weber, A. Staudte, M. Schöffler, N. Neumann, J. Titze, L. Ph. H. Schmidt, A. Czasch, O. Jagutzki, R. A. Costa Fraga, R. E. Grisenti, R. Díez Muiño, N. A. Cherepkov, S. K. Semenov, P. Ranitovic, C. L. Cocke, T. Osipov, H. Adaniya, J. C. Thompson, M. H. Prior, A. Belkacem, A. L. Landers, H. Schmidt-Böcking, and R. Dörner, “The simplest double slit: interference and entanglement in double photoionization of H2,” Science 318, 949–952 (2007).
[CrossRef]

D. Pavičić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett. 98, 243001 (2007).
[CrossRef]

2006 (4)

G. L. Yudin, S. Chelkowski, and A. D. Bandrauk, “Coulomb continuum effects in molecular interference,” J. Phys. B 39, L17 (2006).

D. B. Milošević, “Strong-field approximation for ionization of a diatomic molecule by a strong laser field,” Phys. Rev. A 74, 063404 (2006).
[CrossRef]

G. L. Kamta and A. D. Bandrauk, “Imaging electron molecular orbitals via ionization by intense femtosecond pulses,” Phys. Rev. A 74, 033415 (2006).
[CrossRef]

X.-J. Liu, N. A. Cherepkov, S. K. Semenov, V. Kimberg, F. Gelmukhanov, G. Prümper, T. Lischke, T. Tanaka, M. Hoshino, H. Tanaka, and K. Ueda, “Young’s double-slit experiment using core-level photoemission from N2: revisiting Cohen–Fano’s two-centre interference phenomenon,” J. Phys. B 39, 4801 (2006).
[CrossRef]

2005 (4)

C. Vozzi, F. Calegari, E. Benedetti, J. P. Caumes, G. Sansone, S. Stagira, and M. Nisoli, “Controlling two-center interference in molecular high harmonic generation,” Phys. Rev. Lett. 95, 153902 (2005).
[CrossRef]

D. Rolles, M. Braune, S. Cvejanović, O. Geßner, R. Hentges, S. Korica, B. Langer, T. Lischke, G. Prümper, A. Reinköster, J. Viefhaus, B. Zimmermann, V. McKoy, and U. Becker, “Isotope-induced partial localization of core electrons in the homonuclear molecule N2,” Nature (London) 437, 711–715 (2005).
[CrossRef]

V. I. Usachenko and S.-I. Chu, “Strong-field ionization of laser-irradiated light homonuclear diatomic molecules: a generalized strong-field approximationalinear combination of atomic orbitals model,” Phys. Rev. A 71, 063410 (2005).
[CrossRef]

A. Becker and F. H. M. Faisal, “Intense-field many-body S-matrix theory,” J. Phys. B 38, R1 (2005).
[CrossRef]

2004 (4)

O. A. Fojón, J. Fernandez, A. Palacios, R. D. Rivarola, and F. Martin, “Interference effects in H2 photoionization at high energies,” J. Phys. B 37, 3035–3042 (2004).
[CrossRef]

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature (London) 432, 867–871 (2004).
[CrossRef]

S. N. Yurchenko, S. Patchkovskii, I. V. Litvinyuk, P. B. Corkum, and G. L. Yudin, “Laser-induced interference, focusing, and diffraction of rescattering molecular photoelectrons,” Phys. Rev. Lett. 93, 223003 (2004).
[CrossRef]

L. Nagy, S. Borbély, and K. Póra, “Interference effects in the photoionization of molecular hydrogen,” Phys. Lett. A 327, 481–489 (2004).
[CrossRef]

2001 (1)

N. Stolterfoht, B. Sulik, V. Hoffmann, B. Skogvall, J. Y. Chesnel, J. Rangama, F. Fremont, D. Hennecart, A. Cassimi, X. Husson, A. L. Landers, J. A. Tanis, M. E. Galassi, and R. D. Rivarola, “Evidence for interference effects in electron emission from H2 colliding with 60  MeV/uKr34+ ions,” Phys. Rev. Lett. 87, 023201 (2001).
[CrossRef]

2000 (1)

J. Muth-Böhm, A. Becker, and F. H. M. Faisal, “Suppressed molecular ionization for a class of diatomics in intense femtosecond laser fields,” Phys. Rev. Lett. 85, 2280–2283 (2000).
[CrossRef]

1999 (1)

M. Walter and J. Briggs, “Photo-double ionization of molecular hydrogen,” J. Phys. B 32, 2487 (1999).
[CrossRef]

1998 (1)

C. Guo, M. Li, J. P. Nibarger, and G. N. Gibson, “Single and double ionization of diatomic molecules in strong laser fields,” Phys. Rev. A 58, R4271–R4274 (1998).
[CrossRef]

1994 (1)

T. D. G. Walsh, F. A. Ilkov, J. E. Decker, and S. L. Chin, “The tunnel ionization of atoms, diatomic and triatomic molecules using intense 10.6 μm radiation,” J. Phys. B 27, 3767 (1994).
[CrossRef]

1993 (1)

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993).
[CrossRef]

1992 (1)

S. L. Chin, Y. Liang, J. E. Decker, F. A. Ilkov, and M. V. Ammosov, “Tunnel ionization of diatomic molecules by an intense CO2 laser,” J. Phys. B 25, L249 (1992).
[CrossRef]

1991 (1)

G. N. Gibson, R. R. Freeman, and T. J. McIlrath, “Dynamics of the high-intensity multiphoton ionization of N2,” Phys. Rev. Lett. 67, 1230–1233 (1991).
[CrossRef]

1980 (1)

H. R. Reiss, “Effect of an intense electromagnetic field on a weakly bound system,” Phys. Rev. A 22, 1786–1813 (1980).
[CrossRef]

1979 (1)

P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following six-photon ionization of xenon atoms,” Phys. Rev. Lett. 42, 1127–1130 (1979).
[CrossRef]

1966 (1)

H. D. Cohen and U. Fano, “Interference in the photo-ionization of molecules,” Phys. Rev. 150, 30–33 (1966).
[CrossRef]

1935 (1)

D. M. Volkov, “The solution for wave equations for a spin-charged particle moving in a classical field,” Z. Phys. 94, 250–260 (1935).
[CrossRef]

1930 (1)

J. Slater, “Atomic shielding constants,” Phys. Rev. 36, 57–64 (1930).
[CrossRef]

Abu-samha, M.

L. Holmegaard, J. L. Hansen, L. Kalhøj, S. L. Kragh, H. Stapelfeldt, F. Filsinger, J. Küpper, G. Meijer, D. Dimitrovski, M. Abu-samha, C. P. J. Martiny, and L. B. Madsen, “Photoelectron angular distributions from strong-field ionization of oriented molecules,” Nat. Phys. 6, 428–432 (2010).
[CrossRef]

M. Abu-samha and L. B. Madsen, “Photoelectron angular distributions from polar molecules probed by intense femtosecond lasers,” Phys. Rev. A 82, 043413 (2010).
[CrossRef]

Adaniya, H.

D. Akoury, K. Kreidi, T. Jahnke, Th. Weber, A. Staudte, M. Schöffler, N. Neumann, J. Titze, L. Ph. H. Schmidt, A. Czasch, O. Jagutzki, R. A. Costa Fraga, R. E. Grisenti, R. Díez Muiño, N. A. Cherepkov, S. K. Semenov, P. Ranitovic, C. L. Cocke, T. Osipov, H. Adaniya, J. C. Thompson, M. H. Prior, A. Belkacem, A. L. Landers, H. Schmidt-Böcking, and R. Dörner, “The simplest double slit: interference and entanglement in double photoionization of H2,” Science 318, 949–952 (2007).
[CrossRef]

Agostini, P.

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Figures (6)

Fig. 1.
Fig. 1.

Sketch of the two-center interference effect during photoionization process with the internuclear distance R. φf is the emission direction of the photoelectron and the direction in which the detectors are fixed. The molecule is aligned along the x component of the laser polarization, εx.

Fig. 2.
Fig. 2.

(a) Coordinate system for H2+ in the ground state without laser field; (b) coordinate system for H2+ upon photoelectron ejection. The molecular axis R is set along the x component of the laser polarization vector in the xy plane, that is, ϑR=π/2, φR=0.

Fig. 3.
Fig. 3.

Energy spectra of photoelectron with different emission directions, φf, at the laser intensities of (a) 5×1014 and (b) 1015W/cm2. The molecule is aligned along the x component of laser polarization. The internuclear distance is R=2.0a.u.

Fig. 4.
Fig. 4.

Energy spectra of photoelectron with different emission directions, φf, at the laser intensities of (a) 5×1014 and (b) 1015W/cm2. The inset in (b) is the enlargement at low photoelectron energy. The molecule is aligned along the x component of laser polarization. The internuclear distance is R=4.0a.u.

Fig. 5.
Fig. 5.

Logarithm of differential ionization rate as a function of emission direction of photoelectron. The molecular axis is aligned along the x component of the laser polarization vector. The internuclear distance is R=2.0a.u.. The laser intensity is 1015W/cm2. Note that the values have been normalized by the maximum value at each emission direction.

Fig. 6.
Fig. 6.

Logarithm of differential ionization rate as a function of the emission direction of the photoelectron. The molecular axis is aligned along the x component of the laser polarization vector. The internuclear distance is R=4.0a.u. The laser intensity is 1015W/cm2. Note that the values have been normalized by the maximum value at each emission direction.

Equations (9)

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dWdΩpf=(2me3ω5)1/2(2π)2n=n0(nup)2(nupεb)1/2×|Jn(Zf)|2|Ψ(Pf,R)|2,
up=e2I2meω3
Zf=e2Imeω2ε^·Pf,
ε^=ε^xcosξ2+iε^ysinξ2,
Zf=eIPfmeω2sinϑfeiφf.
Ψ(Pf,R)=dreiPf·rΦi(r,R),
Φi(r,R)=ϕ(1s)(rR/2)+ϕ(1s)(r+R/2)2[1+S(R)],
S(R)=drϕ(1s)(rR/2)ϕ(1s)*(r+R/2),
Ψ(1sσg)(Pf,R)=Φ(1s)(Pf)2[1+S(R)]cos(Pf·R/2),

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