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We analyze the contribution of the quiver kinetic energy acquired by anelectron in an oscillating electric field to the energy balance in atomicionization processes by a short laser pulse. Due to the time dependence of thisadditional kinetic energy, a temporal average is assumed to maintain astationary energy conservation rule. This rule is used to predict the positionof the peaks observed in the photo electron spectra (PE). For a flat top pulseenvelope, the mean value of the quiver energy over the whole pulse leads to theconcept of ponderomotive energy $U_{p}$. However for a short pulse with a fastchanging field intensity a stationarity approximation could not be precise. Wecheck these concepts by studying first the photoelectron (PE) spectrum withinthe Semiclassical Model (SCM) for a multiple steps pulses. The SCM offers thepossibility to establish a connection between emission times and the PEspectrum in the energy domain. We show that PE substructures stem fromionization at different times mapping the pulse envelope. We also present theanalysis of the PE spectrum for a realistic sine-squared envelope within theCoulomb-Volkov and \textit{ab initio} calculations solving the time-dependentSchr\"odinger equation. We found that the electron emission amplitudes producedat different times interfere with each other and produce a new additionalpattern, that overlap the above-threshold ionization (ATI) peaks.

Non-constant ponderomotive energy in above threshold ionization by intense short laser pulses