Abstract
A new analytical treatment is developed for resonant multiphonon ionisation which takes into account the physical properties of the exciting laser such as the spatial intensity distribution of a focused Gaussian beam and light statistics effects in the narrow bandwidth limit. The ion number as a function of laser intensity and wavelength follows a 'displacement law', which means that it may be expressed as a single variable function and provides a more reliable way to determine light-induced level shifts than previous methods. Three-photon resonant five-photon ionisation of mercury in a chaotic field serves as an experimental test and agrees excellently with the displacement law. However, the derived dynamical Stark shift differs by about a factor of three from that calculated from currently known oscillator strengths.
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