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Journal of Physics B Atomic and Molecular Physics

Multichannel decay and continuum-continuum transitions in above-threshold ionisation

Maciej Lewenstein, Jan Mostowski, Marek Trippenbach

Published Jul 28, 1985• 49 citations
Publisher

Abstract

The authors derive equations describing non-resonant multiphoton ionisation of atoms in strong laser fields. The equations lead to a multichannel decay of the bound state as well as continuum-continuum (CC) relaxation.
DOI
10.1088/0022-3700/18/14/002

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The author examines some simple models for multiphoton ionisation which can be constructed when the bound-free transition rates are much smaller than the bound-bound transition rates and considers how to proceed when this condition is relaxed. The author identifies a regime where the transition rate is time independent. If the laser has a sufficiently broad linewidth one can use a rate equation approach; this assertion is justified and applied to two-, three- and N-photon ionisation. If the laser is narrow-band, a density matrix method has to be used and the effects of different laser lineshapes are discussed. In three-photon ionisation the role of optical pumping effects is emphasised. Explicit expressions for the multiphoton ionisation probabilities are presented and finally some extensions of the method are briefly discussed.
In a recent experiment involving multiphoton ionisation of Xe it was found that the photoelectron spectrum contained peaks which corresponded to absorption of more than the minimum number of photons required ionise. The effective orders of nonlinearity, furthermore, showed a striking uniformity. The authors investigated these effects with a model approximation consisting of a single bound state and m continua. Simple analytic expressions are obtained for the quantity measured in the experiment and the limit m to infinity is obtained. The results show good qualitative agreement with experiment.