Ionization of hydrogen atoms by a low-frequency laser field of arbitrary strength: no ‘local suppression’

Author(s):  
Eugene Oks
2011 ◽  
Vol 89 (8) ◽  
pp. 849-855 ◽  
Author(s):  
V.P. Gavrilenko ◽  
E. Oks

Further development of an analytical model for the tunneling ionization of atoms using a low-frequency laser field of arbitrary strength, including the strong-field region, is presented. The model uses a very accurate approximation of the true ionization barrier–potential in the Schrödinger equation by the effective parabolic barrier–potential based on the algorithm suggested by Miller and Good and later employed by Kulyagin and Taranukhin (KT) for calculating the ionization rate, W(F), of hydrogen atoms from the ground state by a linearly polarized laser field. We point out and eliminate a number of principal errors made by KT and calculate W(F) much more accurately. We demonstrate that the dependence of the ionization rate on the strength of the linearly polarized laser field is monotonic and does not show any effect of the stabilization (“local ionization suppression”) claimed by KT. Our results for W(F) are in good agreement with the results of quantum fully numerical simulations. The analytical method, further developed in the present paper, can be extended without difficulty to calculations of the tunneling ionization for a number of other quantum systems. The most immediate extensions are to hydrogen atoms in an elliptically polarized laser field and atoms described by the Thomas–Fermi model.


1995 ◽  
Vol 04 (04) ◽  
pp. 775-798 ◽  
Author(s):  
V. P. KRAINOV

The theoretical description of the ionization of an atom (ion) by external electromagnetic radiation up to now concerned two alternative situations; multiphoton ionization and tunneling ionization. For both cases the formulas describing the ionization probability when the intensity of the laser field is not too strong are well known. However, if the field is strong, then there exists a new channel; the so-called barrier-suppression (or above-barrier) ionization of the atom. How does this process occur? It is obvious that barrier-suppression ionization and sub-barrier tunneling ionization by low-frequency laser field transform smoothly into one another as the field strength F is varied near the value of the barrier-suppression field F BSI . This paper contains a review of various theoretical approaches developed during the last few years, especially analytical considerations. Some new semi-analytical expressions for ionization rates, energy and angular distributions of ejected electrons are also derived.


1997 ◽  
Vol 56 (3) ◽  
pp. 2142-2167 ◽  
Author(s):  
T.-T. Nguyen-Dang ◽  
F. Cha⁁teauneuf ◽  
S. Manoli ◽  
O. Atabek ◽  
A. Keller

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Mihai Macovei ◽  
Jörg Evers ◽  
Christoph H. Keitel

1984 ◽  
Vol 29 (4) ◽  
pp. 2228-2229 ◽  
Author(s):  
Luis F. Saez ◽  
Marvin H. Mittleman

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