popruzhenko_2008 ================ S\. V\. Popruzhenko, V\. D\. Mur and V\. S\. Popov, "Coulomb correction to the ionization rate of atoms in high\-frequency intense laser fields", Phys\. Lett\. A 372, 5167 \(2008\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1016/j\.physleta\.2008\.05\.080 `__ **Source kind:** theory **Recorded technique:** Analytic theory\: the Coulomb correction Q\_C to the multiphoton \(gamma \>\> 1\) ionisation rate of an s\-state in a linearly polarized field, from the imaginary\-time method for the sub\-barrier trajectory with the Kapitza method for the motion in the rapidly oscillating field, to first order in mu = Z omega/kappa^3 = n\*/\(2 K0\) \(pp\. 2\-3\)\. Evaluated for atoms at 1\.55 eV \(Ti\:sapphire\) and 3\.1 eV and for ions at 12\.7 eV, 1e13 W/cm^2 \(Tables 1\-2\)\. **Materials in structured entries:** None recorded. **Dataset quantities:** None recorded. **Contents:** 0 datasets; 0 formulas. Curation notes -------------- Identity checked against pdf p\. 1\. Pages are pdf pages \(1\-4 = pp\. 5167\-5170\)\. UNMAPPED\_GLYPHS on pp\. 2 and 4 touch footnotes \(the minimum photoelectron energy, the validity condition K0 \>\> 2n\*\), not the tables\. WHY NOTHING IS TAKEN\. The two tables \(p\. 3\) are evaluations of the paper's model formulas at one intensity, 'for s\-states, so that the numbers provide rather order\-in\-magnitude estimates than precise values' \(p\. 3\), although 'in real atoms and ions the outermost electron is usually in the state with nonzero orbital momentum'\. They are neither a property of the gas nor a constant fitted within a rate model \(ionization\_model\_parameter\), and W is a model probability per laser period, not a measured or ab initio yield\. Quoted here for review\. TABLE 1 \(tbl\_4642ab1ee751, p\. 3; image checked\)\: neutral atoms at 1e13 W/cm^2, I\-Kr at hbar omega = 1\.55 eV \(lambda = 0\.79 um\), Ar\-He at its second harmonic; columns I \(eV\), K0 = I/\(hbar omega\), n\*, mu, gamma, W\_sr \(Eq\. \(21\), short\-range probability per period\), Q \(Eq\. \(20\)\), W = Q W\_sr; 'a\(b\)' means a x 10^b\. In\-scope rows\: Xe \| 12\.1 \| 7\.81 \| 1\.06 \| 0\.068 \| 3\.4 \| 6\.2\(\-11\) \| 1\.1\(6\) \| 7\.0\(\-5\); Kr \| 14\.0 \| 9\.03 \| 0\.99 \| 0\.055 \| 3\.6 \| 6\.6\(\-13\) \| 7\.5\(5\) \| 5\.0\(\-7\); Ar \| 15\.8 \| 5\.10 \| 0\.93 \| 0\.091 \| 7\.7 \| 2\.7\(\-11\) \| 1\.9\(6\) \| 5\.2\(\-5\); Ne \| 21\.6 \| 6\.97 \| 0\.79 \| 0\.057 \| 9\.0 \| 2\.8\(\-16\) \| 6\.4\(5\) \| 1\.8\(\-10\); He \| 24\.6 \| 7\.94 \| 0\.74 \| 0\.047 \| 9\.6 \| 3\.6\(\-17\) \| 4\.1\(5\) \| 1\.4\(\-11\)\. Out of scope\: I \(10\.5 eV\) and H \(13\.6 eV\)\. 'For a 100 fs pulse N = 37' periods\. The printed gamma is about 6 % above kappa omega/E with E = 0\.01688 au, the peak field of 1e13 W/cm^2 \(Xe 3\.18, He 9\.08 computed 2026\-09\-26, against 3\.4 and 9\.6\)\: the paper does not say how it converts intensity to field\. TABLE 2 \(tbl\_8cf9f59f3ee0, p\. 3; image checked\)\: positive ions at hbar omega = 12\.7 eV \(98 nm, a free\-electron laser\), 1e13 W/cm^2, the same columns\. In scope\: Ne\+ \| 41\.0 \| 3\.23 \| 1\.15 \| 0\.18 \| 51 \| 7\.1\(\-14\) \| 1\.3\(11\) \| 9\.3\(\-3\) \(I here is the ionisation energy of Ne\+, no kind or source stated\)\. Out of scope\: Ne2\+, Ar4\+, Ar5\+, Xe6\+, Xe7\+ \(multiply charged\)\. 'For a 100 fs pulse N = 307'\. Its parameters 'correspond to the experiment \[9\]' \(Wabnitz et al\., Phys\. Rev\. Lett\. 94, 023001 \(2005\)\)\. FORMULAS \(not recorded as entries\: model results for s\-states, gamma \>\> 1, no curated data to check\)\. Eq\. \(1\), static limit\: Q\_0 = w/w\_sr = \(2/F\)^\(2n\*\), F = script\-E/E\_ch, E\_ch = kappa^3 \(au\), kappa = sqrt\(2 I\); Eq\. \(19\)\: w ~ Q\_C exp{\-2 K0 \(ln 2 gamma \- 1/2\)}; Eq\. \(20\)\: Q\_C = \(8 K0 gamma^2\)^\(2n\*\) = \(2/F\)^\(2n\*\) \(2 gamma\)^\(2n\*\), gamma \>\> 1; Eq\. \(21\)\: W\_sr ~ K0^\(\-1/2\) exp{\-2 K0 \(ln 2 gamma \- 1/2\) \- 2 delta ln 2 gamma}, delta = N\_min \- n\_th, n\_th = K0 \+ K0/\(2 gamma^2\) \(p\. 3\)\. The asymptotic coefficient C\_kappa is set to 1 \(p\. 2\)\. Consequence \(Eq\. \(23\), p\. 4\)\: W ~ J^\(N\_min \- 2n\*\), a lower slope of the yield against intensity\. **Recorded bibliographic identity status:** VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- No datasets are recorded. Formulas -------- No formulas are recorded. Corrections ----------- No dataset errata are recorded in this source record. Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the :doc:`review register ` for the checks and decisions.