Abstract

Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrodinger equation in the sudden perturbation approximation. A method of calculations with the exact inclusion of spatial inhomogeneity of the field of an ultrashort pulse and the momenta of photons in the reemission processes has been developed. The probabilities of inelastic processes and spectra of reemission of ultrashort electromagnetic pulses by one- and many-electron atoms have been calculated. The results have been presented in the form of analytical formulas.

Highlights

  • Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrödinger equation in the sudden perturbation approximation

  • For pulses shorter than the characteristic atomic time, but longer than attosecond pulses, it is appropriate to use approaches based on the Magnus expansion for the evolution operator

  • The sudden perturbation approximation is appropriate for attosecond and shorter pulses

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Summary

Introduction

Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrödinger equation in the sudden perturbation approximation. Progress currently achieved in the methods of generation of short and ultrashort electromagnetic pulses has allowed overcoming the “femtosecond limit” and obtaining pulses with a duration of several tens of attoseconds. The processes accompanying the interaction of ultrashort pulses with atoms are usually described within the following approaches.

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