Exact field ionization rates in the barrier-suppression regime from numerical time-dependent Schrödinger-equation calculations

Bauer, Dieter; Mulser, P.

doi:10.1103/physreva.59.569

Cited by 139 publications

(109 citation statements)

References 20 publications

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“…It may be defined as the limit in which an atom can ionize without tunnelling. Because it is possible to formulate any number of plausible but highly dissimilar classical models of ionization, estimates of the intensity threshold of ABI vary by a factor of over 4 [3,[5][6][7][8]. The Scrinzi estimate of 14 × 10 14 W cm −2 (E = 0.2 au) is in the low range of published estimates.…”

Section: Discussionmentioning

confidence: 96%

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From the UV to the static-field limit: rates and scaling laws of intense-field ionization of helium

Parker¹,

Armstrong²,

Boca³

et al. 2009

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

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We present high-accuracy calculations of ionization rates of helium at UV (195 nm) wavelengths. The data are obtained from full-dimensionality integrations of the helium-laser time-dependent Schrödinger equation. Comparison is made with our previously obtained data at 390 nm and 780 nm. We show that scaling laws introduced by Parker et al extend unmodified from the near-infrared limit into the UV limit. Static-field ionization rates of helium are also obtained, again from time-dependent full-dimensionality integrations of the helium Schrödinger equation. We compare the static-field ionization results with those of Scrinzi et al and Themelis et al, who also treat the full-dimensional helium atom, but with time-independent methods. Good agreement is obtained.

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Section: Discussionmentioning

confidence: 96%

“…ABI is also referred to as barriersuppression ionization (BSI). Several different methods have been considered for estimating the onset of ABI [3,[5][6][7][8], with estimates for helium generally in the 0.2 au-0.4 au range. In our static-field results we identify two interesting transition points: E = 0.175 au and E = 0.38 au.…”

Section: Introductionmentioning

confidence: 99%

From the UV to the static-field limit: rates and scaling laws of intense-field ionization of helium

Parker¹,

Armstrong²,

Boca³

et al. 2009

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

View full text Add to dashboard Cite

show abstract

“…If these yields are compared to ionization probabilities calculated using accurate theoretical methods, then intensity calibration in the experiment can be accomplished. Accurate calculations of ionization probability for a fixed laser intensity can be accomplished by solving the timedependent Schrödinger equation (TDSE) for atoms and some small molecules [8][9][10][11][12][13][14][15][16][17][18][19], mostly based on the single-activeelectron (SAE) model. Calculations including all electrons in the atom or molecules have been used within the timedependent density functional theory (TDDFT) [20][21][22][23][24][25], the time-dependent Hartree-Fock (TDHF) theory [26,27], or the multiconfiguration time-dependent Hartree-Fock (MCTDHF) theory [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Analytical model for calibrating laser intensity in strong-field-ionization experiments

Zhao

Jin

et al. 2016

Phys. Rev. A

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The interaction of an intense laser pulse with atoms and molecules depends extremely nonlinearly on the laser intensity. Yet experimentally there still exists no simple reliable methods for determining the peak laser intensity within the focused volume. Here we present a simple method, based on an improved Perelomov-Popov-Terent'ev model, that would allow the calibration of laser intensities from the measured ionization signals of atoms or molecules. The model is first examined by comparing ionization probabilities (or signals) of atoms and several simple diatomic molecules with those from solving the time-dependent Schrödinger equation. We then show the possibility of using this method to calibrate laser intensities for atoms, diatomic molecules as well as large polyatomic molecules, for laser intensities from the multiphoton ionization to tunneling ionization regimes.

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“…On the other hand, for weak fields the Keldysh parameter γ becomes large, therefore the ADK method is often extended into the region of strong fields and even into the region where the classical ionization becomes possible, called the barrier-suppression region, although the use of ADK theory does not make sense at all if there is no tunneling. Several attempts [7][8][9] have been made to extend the static-field ionization model to the barrier-suppression region.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical complex-time method for tunneling ionization: Molecular suppression and orientational dependence

Gallup

Fabrikant

2010

Phys. Rev. A

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We apply a previously developed semiclassical complex time method to the calculation of tunneling ionization of several diatomic molecules and CO 2 . We investigate the presence or absence of the molecular suppression effect by calculating ionization rates of N 2 versus Ar, O 2 versus Xe, F 2 versus Ar, and CO versus Kr. Comparisons with other theories, including the molecular-orbital-Ammosov-Delone-Krainov (MO-ADK) model and the strong-field approximation, are given. We also analyze the dependence of the ionization rate on the angle θ F between the molecular axis and the field direction. The theoretical results agree quite well with experiment for N 2 and O 2 but give too low a value of the peak angle θ F for CO 2 . Our calculations give small values of the ionization rates for O 2 and CO 2 at θ F = 0 and 90• , in agreement with experiment. Other calculations, including the MO-ADK model and methods involving a numerical integration of the time-dependent Schrödinger equation, exhibit substantially weaker suppression at these angles.

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Exact field ionization rates in the barrier-suppression regime from numerical time-dependent Schrödinger-equation calculations

Cited by 139 publications

References 20 publications

From the UV to the static-field limit: rates and scaling laws of intense-field ionization of helium

From the UV to the static-field limit: rates and scaling laws of intense-field ionization of helium

Analytical model for calibrating laser intensity in strong-field-ionization experiments

Semiclassical complex-time method for tunneling ionization: Molecular suppression and orientational dependence

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