Interpretation of momentum distribution of recoil ions from laser-induced nonsequential double ionization by semiclassical rescattering model

Chen, Jiangxi; Liu, J.; Fu, Libin; Zheng, Weiying

doi:10.1103/physreva.63.011404

Cited by 135 publications

(71 citation statements)

References 32 publications

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“…[19] makes the inner electrons more easily to be excited and cause an overestimation of the double ionization rate. Our model has been employed to understand the momentum distribution of the recoil ions and shown a good agreement with the experimental records [20].…”

supporting

confidence: 61%

Classical collisional trajectories as the source of strong-field double ionization of helium in the knee regime

et al. 2001

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In this paper, a quasistatic model is extended to describe the double ionization of Helium in intense linearly polarized field, yielding achieve an insight to the two-electron correlation effect in the ionization dynamics. Our numerical calculations reproduce the excessive double ionization and the photoelectron spectra observed experimentally both quantitatively and qualitatively. Moreover, it is shown that the classical collisional trajectories are the main source of the double ionization in the knee regime and responsible for the unusual angular distribution of the photoelectrons.PACS numbers: 32.80. Rm, 42.50.Hz, Recently the excessive double ionization observed in Helium experiments by Fittinghoff et al. [1], Walker et al.[2], and Sheehy et al. [3] draws much attention to the multiple-electron dynamics in the laser-atom interaction. In these experiments the single ionization yields of He in a linearly polarized field is accurately predicted by the single active electron (SAE) approximation [2], well described by the Ammosov-Delone-Krainov (ADK) tunneling theory [4]. However, the case of double ionization is more complicated. In the regime of very high intensities (I > 10 16 W/cm 2 ) where strong double ionization occurs, the double ionization keeps in good agreement with the sequential SAE models as that in the lower intensities regime(I < 10 14 W/cm 2 ). The double ionization yield deviates seriously from the sequential SAE model and shows a great enhancement in a "knee" regime [(0.8-3.0) × 10 15 W/cm 2 ], where the He 2+ /He + yields ratio is close to a constant: 0.002. This surprising large yields of the double ionization obviously indicates that the sequential ionization is no longer the dominating process in this regime and the electron-electron correlation has to be taken into account.Both the "shake-off" model and the "recollision" model are suggested to describe the electron's correlation [1,3,5,6]. However, none of the two nonsequential ionization (NSI) mechanisms can completely explain the experimental observations. For the "shake-off" model, it can not give the reason for the decrease in the double ionization yields as the polarization of the laser field departs from linear [7][8][9]. In the "recollision" model, the returning electrons are known to have a maximum classical kinetic energy of ∼ 3.2U p (U p = e 2 F 2 /4m e ω 2 ), so one can determine a minimum intensity required for the rescattering electron to have enough energy to excite the inner electron. But the double ionization yields observed in experiments have no such an intensity threshold. In fact, the double ionization process is rather complicated and subtle, both of the two NSI processes and the sequential ionization contribute to the double ionization yields and may dominate in the different regimes.The experiments on the double ionization of Helium are mainly confined in the tunneling regime, i.e. the ratio between the tunneling time of the outer electron and the inverse optical frequency (Keldysh parameter) is less than 1. ...

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confidence: 61%

Classical collisional trajectories as the source of strong-field double ionization of helium in the knee regime

et al. 2001

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“…(33). The remaining integral over p 2 1⊥ then leads to a result that is too lengthy to be written down, but still analytical.…”

Section: B Electron-electron Coulomb Interactionmentioning

confidence: 99%

Electron-electron dynamics in laser-induced nonsequential double ionization

et al. 2004

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For the description of nonsequential double ionization (NSDI) of rare-gas atoms by a strong linearly polarized laser field, the quantum-mechanical S-matrix diagram that incorporates rescattering impact ionization is evaluated in the strong-field approximation. We employ a uniform approximation, which is a generalization of the standard saddle-point approximation. We systematically analyze the manifestations of the electron-electron interaction in the momentum distributions of the ejected electrons: for the interaction, by which the returning electron frees the bound electron, we adopt either a (three-body) contact interaction or a Coulomb interaction, and we do or do not incorporate the mutual Coulomb repulsion of the two electrons in their final state. In particular, we investigate the correlation of the momentum components parallel to the laser-field polarization, with the transverse momentum components either restricted to certain finite ranges or entirely summed over. In the latter case, agreement with experimental data is best for the contact interaction and without final-state repulsion. In the former, if the transverse momenta are restricted to small values, comparison of theory with the data shows evidence of Coulomb effects. We propose that experimental data selecting events with small transverse momenta of both electrons are particularly promising in the elucidation of the dynamics of NSDI. Also, a classical approximation of the quantum-mechanical S matrix is formulated and shown to work very well inside the classically allowed region.

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“…Chen et al [78] have performed a classical trajectory Monte Carlo calculation (CTMC) in which they solved the classical Hamilton equations of motion for all three particles in the field. The initial state in the simulation is determined by the momentum distributions following from tunnelling of one electron from the atom.…”

Section: Recoil Ion Momentamentioning

confidence: 99%

“…First, the results from the CTMC calculation by Chen et al [78] are shown in panel (b). Although excitation of the ion due to rescattering is included in their calculations, a tunnelling ionization of the (excited) ion is excluded.…”

Section: Correlated Electron Momentamentioning

confidence: 99%

Multiple fragmentation of atoms in femtosecond laser pulses

Becker

Dørner

Moshammer

2005

J. Phys. B: At. Mol. Opt. Phys.

112

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Multiple ionization of atoms by an ultrashort intense laser pulse is a process in which the few-body problem is closely interrelated with the highly nonlinear interaction between the electrons and the external field. We review recent advances in unveiling the mechanisms behind the unusually large ion yields for double and multiple ionization observed in a strong laser pulse. Its study requires on one hand the combination of highly differential experimental techniques with laser systems having high repetition rates and on the other the development of new theoretical methods to simultaneously account for the longranged Coulomb interaction between the particles and the field nonlinearity. Different mechanisms are analysed diagrammatically and quantitatively in comparison with experimental data for the total ion yields. Distributions for the electron and ion momenta of coincidence measurements are discussed along with predictions of the various theoretical methods.

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Interpretation of momentum distribution of recoil ions from laser-induced nonsequential double ionization by semiclassical rescattering model

Cited by 135 publications

References 32 publications

Classical collisional trajectories as the source of strong-field double ionization of helium in the knee regime

Classical collisional trajectories as the source of strong-field double ionization of helium in the knee regime

Electron-electron dynamics in laser-induced nonsequential double ionization

Multiple fragmentation of atoms in femtosecond laser pulses

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