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Soviet Journal of Quantum Electronics

Fine structure of many-photon excitation spectra of the hydrogen atom

B. A. Zon, М. А. Преображенский

Published Sep 30, 1978• 0 citations
Publisher

Abstract

The probabilities of three-, four-, and five-photon excitation of states in the n =3, 4, and 5 shells from the ground and metastable states are calculated for linearly and circularly polarized radiation, allowing for the optically induced changes in the excited-state spectrum of the hydrogen atom.
DOI
10.1070/qe1978v008n09abeh010737

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The infinite summations over the complete set of unperturbed atomic states appearing in the NNNth-order perturbation theory for multiphoton ionization are performed using the Dalgarno-Lewis method. The relevant transition matrix elements are written in a closed integral form exhibiting all the analytic properties of the amplitude as a function of incident photon energy. The cross sections for two- and three-photon ionization for atomic hydrogen are calculated for both linearly and circularly polarized light with a wide range of photon energy spectrum including the near resonance, and numerical comparison is made with the values obtained by different methods.