Abstract
In the recent paper Reiss and Krainov (2003 J. Phys. A: Math. Gen. 36 5575) developed two new approximations for the generalized Bessel function that arises in the analytical treatment of strong-field multiphoton ionization theories. We show that their 'tunnelling approximation 1' systematically underestimates the theoretical ionization rate by a factor of 2 or more for typical laser frequencies. More important still, only a few first ATI peaks of the lowest energy may be reproduced quite well using this approximation.
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