Abstract
A modified empirical ionization formula is proposed to extend Tong and Lin's ionization formula [X. M. Tong and C. D. Lin, J. Phys. B 38, 2593 (2005)] to a laser field up to 4.5 times barrier-suppression strength $({E}_{b})$ in the over-barrier regime. The validity of the formula is checked by solving the Schr\odinger equation within the single-active-electron approximation with an excellent agreement. This modified empirical formula still keeps its simplicity and can calculate ionization rates in the deep over-barrier regime.
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