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Closed form analytic formulas are derived in the tunneling limit for both above threshold detachment (ATD) of negative ions and above threshold ionization (ATI) of neutral atoms. These formulas provide a fully quantum justification of the well-known classical three-step scenario for strong field ionization and detachment spectra in the high energy region of the ATI or ATD plateau and also provide analytical insight into how the ATI/ATD rates may be controlled by varying the laser field parameters or by varying the atomic species.

Analytic formulas for above threshold ionization or detachment plateau spectra