Strong-field multiphoton ionization of hydrogen. TheS-matrix treatment of the elementary process

Leone, Cláudio; Burlon, R.; Trombetta, F.; Basile, Salvatore; Ferrante, G.

doi:10.1007/bf02457024

Cited by 33 publications

(10 citation statements)

References 25 publications

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“…(66) or Eq. ( 41)) reproduces the heuristic expression introduced a long time ago [4,5] and justifies it as a lowest order contribution.…”

Section: Discussionsupporting

confidence: 56%

“…Due to this difficulty, many authors in the past decades have made various ad hoc corrections to SFA. One such attempt was to introduce a long time ago [4,5] the so-called Coulomb-Volkov state and a heuristic oneterm ionisation amplitude using it. However, till now, no systematic strong-field S-matrix expansion accounting for the final state Coulomb interaction in terms of the Coulomb-Volkov wavefunction has been found.…”

Section: Introductionmentioning

confidence: 99%

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Strong-fieldS-matrix theory with final-state Coulomb interaction in all orders

Faisal

2016

Phys. Rev. A

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Despite its long standing usefulness for the analysis of various processes in intense laser fields, it is well-known that the so-called strong-field KFR or SFA ansatz does not account for the finalstate Coulomb interaction. Due to its importance for the ubiquitous ionisation process, numerous heuristic attempts have been made during the last several decades to account for the final state Coulomb interaction with in the SFA. Also to this end an ad hoc model with the so-called CoulombVolkov final state was introduced a long time ago. However, till now, no systematic strong-field S-matrix expansion using the Coulomb-Volkov final state could be found. Here we solve this long standing problem by determining the Coulomb-Volkov Hamiltonian, identifying the rest-interaction in the final state, and explicitly constructng the Coulomb-Volkov propagator (or Green's function). We employ them to derive the complete S-matrix series for the ionisation amplitude governed by the Coulomb-Volkov final state in all orders. The results are given in both "velocity" and "length" gauges. We also present a gauge independent version of the Coulomb-Volkov S-matrix series.

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“…(66) or Eq. ( 41)) reproduces the heuristic expression introduced a long time ago [4,5] and justifies it as a lowest order contribution.…”

Section: Discussionsupporting

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Strong-fieldS-matrix theory with final-state Coulomb interaction in all orders

Faisal

2016

Phys. Rev. A

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“…Coulomb effects on the sub-laser-cycle time scale, especially the Coulomb focusing [13] of the freed wave packet, were studied numerically in [14], with the emphasis on the transition between tunnelling and multiphoton ionization regimes. Analytically, including the Coulomb potential in the final state is very challenging, and many attempts have been made over the years [8][9][10][15][16][17][18][19][20][21][22][23][24][25]. The Coulomb perturbations of individual classical trajectories of the free electron in the laser field explain the asymmetries in angle-resolved above-threshold ionization (ATI) spectra [26].…”

mentioning

confidence: 99%

Coulomb and polarization effects in sub-cycle dynamics of strong-field ionization

Smirnova¹,

Spanner

Ivanov³

2006

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

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We discuss the sub-cycle dynamics of strong-field ionization by an intense few-cycle laser pulse. Even at high intensities when all the excited states are embedded into the continuum, the dynamics are found to be strongly dependent both on the presence or absence of excited states in the field-free potential and on the structure of the continuum. Both Coulomb effects in the continuum and polarization of the initial state are important even for qualitative description of sub-cycle ionization. We show how to consistently include effects of the binding (Coulomb) potential on the continuum part of the electron wavefunction while retaining the effects of the laser field on the bound part. We demonstrate quantitative accuracy of our approach in the barrier-suppression region of laser intensities.

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“…The original paper of Keldysh [15], as well as those on the same line of thought [16], neglected the Coulomb interaction of the ejected electron. Recently, the authors have proposed a new version of this approach [17] including the interaction between the photoelectron and the residual ion, which reproduce some qualitative features of the experimental results of the ATI [18]. The qualitative analysis reported in ref.…”

mentioning

confidence: 91%

Simultaneous multiphoton ionization by two radiation fields. Effects of the statistical properties of the radiation

1991

Self Cite

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Summary.--We report on calculations of differential and total ionization crosssections of hydrogen atoms irradiated by two radiation fields with different properties. One of the fields is of low intensity and relatively high frequency, the other is of low frequency and high intensity. In particular, we show that the inclusion of the multimode structure of the low-frequency laser field modifies considerably the shape of the angular distribution of the photoelectrons and the rates of ionization into the different channels characterized by the number of low-frequency photons exchanged. Further, we find that the average energy exchanged between the photoelectrons and the low-frequency radiation field is independent of the statistical properties of the low-frequency laser field.PACS 32.80 -Photon interactions with atoms.

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Strong-field multiphoton ionization of hydrogen. TheS-matrix treatment of the elementary process

Cited by 33 publications

References 25 publications

Strong-fieldS-matrix theory with final-state Coulomb interaction in all orders

Strong-fieldS-matrix theory with final-state Coulomb interaction in all orders

Coulomb and polarization effects in sub-cycle dynamics of strong-field ionization

Simultaneous multiphoton ionization by two radiation fields. Effects of the statistical properties of the radiation

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