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By analyzing ``exact'' theoretical results from solving the time-dependentSchr\"odinger equation of atoms in few-cycle laser pulses, we established thegeneral conclusion that differential elastic scattering and photo-recombinationcross sections of the target ion with {\em free} electrons can be extractedaccurately from laser-generated high-energy electron momentum spectra andhigh-order harmonic spectra, respectively. Since both electron scattering andphotoionization (the inverse of photo-recombination) are the conventional meansfor interrogating the structure of atoms and molecules, this result shows thatexisting few-cycle infrared lasers can be implemented for ultrafast imaging oftransient molecules with temporal resolution of a few femtoseconds.

Accurate retrieval of structural information from laser-induced photoelectron and high-harmonic spectra by few-cycle laser pulses