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Soviet Physics Uspekhi

New effects in the multiphoton ionization of atoms

Nikolai B. Delone, Mikhail Vladimirovich Fedorov

Published Jun 30, 1989• 44 citations
Publisher

Abstract

The review is devoted to new effects discovered recently in the course of studying the process of nonlinear ionization of atoms in the field of laser radiation—above-threshold ionization, manifestation of multielectron structure of complex atoms, formation of multiply charged ions, tunneling ionization, and emission of short-wavelength radiation. The main experimental data and their theoretical interpretation are presented. A discussion is given of the criteria for the applicability of the lowest non-vanishing order of non-steady-state perturbation theory to the description of the interaction of an atom with the electromagnetic field.

DOI
10.1070/pu1989v032n06abeh002725

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The review is devoted to new effects discovered recently in the course of studying the process of nonlinear ionization of atoms in the field of laser radiation—above-threshold ionization, manifestation of multielectron structure of complex atoms, formation of multiply charged ions, tunneling ionization, and emission of short-wavelength radiation. The main experimental data and their theoretical interpretation are presented. A discussion is given of the criteria for the applicability of the lowest non-vanishing order of non-steady-state perturbation theory to the description of the interaction of an atom with the electromagnetic field.
The most important results of study of multiphoton ionization of atoms are reviewed. Discussions are presented of specific features of the process, theoretical methods of description of ionization of atoms in a strong light field, the basic principles of design of experiments in which intense laser radiation is used, results of investigation of direct and resonance processes of multiphoton ionization, and the mutual relation between multiphoton processes (multiphoton excitation and ionization) and various phenomena leading to perturbation of the spectrum of bound states of an electron in an atom under the influence of a strong light field.
The non linear interaction between an intense laser radiation and atoms leads to ionization through the absorption of N photons from the laser radiation via laser-induced virtual states. The multiphoton ionization rate varies as a function of the laser intensity I as IN. We discuss the two most important effects which govern multiphoton ionization processes : resonance effects and laser-coherence effects. In a moderate laser intensity range (107 - 109 W cm-2) corresponding to the two, three or four-photon ionization of atoms, resonance effects play a dominant role while the photon statistics of the laser radiation are relatively unimportant. On the contrary, in the very high intensity range (1012 - 1013 W cm-2) required to observe large Nth - order ionization processes, coherence effects play a dominant role through N! enhancement in the N-photon ionization rate, while resonance effects are completely damped due to the high laser intensity. We conclude by reviewing the possible applications of multiphoton absorption processes in other fields.
The review describes and interprets the basic phenomena recently observed in the interaction between free atoms and laser radiation. Some of these have been known for a long time in magnetic resonance but in the optical range, the situation is strongly modified because of spontaneous emission and the Doppler effect. Therefore, particular attention is paid to resonance fluorescence and Doppler-free spectroscopy but without dwelling on applications. Transient effects are also discussed, but all the phenomena which characterize, not specifically the interaction between atoms and fields, but the free evolution of atoms after coherent excitation are ignored. Pulse propagation experiments are described in detail and multiphoton processes are considered, with special emphasis on Doppler-free multiphoton excitation and resonant multiphoton ionization.
This article analyzes the features of the interaction of a nonmonochromatic multifrequency laser radiation field with an isolated atom. Multiphoton excitation and nonlinear ionization of atoms under conditions in which the atomic levels are perturbed by the laser radiation field are treated. The extreme cases of interaction of an atom with a field are discussed in detail—the case of a broad laser radiation spectrum (fast field fluctuations) and the case of a narrow spectrum (slow fluctuations). The experimental data available in the scientific literature relevant to the set of questions under discussion are analyzed.
The resonant multiphoton resonances shifts and widths and ionization cross-sections for multielectron atoms in a intense laser radiation field are studied. It is carried out a new consistent approach to atom in a strong realistic laser field, based on the relativistic energy formalism (S-matrix adiabatic formalism), relativistic Dirac equation Green function method and relativistic many-body perturbation theory with the Dirac-Kohn-Sham zeroth approximation. In relativistic theory, the Gell-Mann and Low adiabatic formula for energy shift is connected with electrodynamical scattering matrice, which includes interaction with as a laser field as a photon vacuum field (radiative decay). The optimized basis of the relativistic orbitals is generated with using a minimization procedure for the gauge-non-invariant contribution (the fourth-order of the QED perturbation theory) to the radiation width of atomic state. An approach to treating the multiphoton atomic processes is outlined on example of H, Cs, Kr,Mg etc. Analysis shows that the shift and width of the multi-photon resonance line for the interaction “atom- multimode laser pulse” is greater than the corresponding shift and width for a case of the “atom- single-mode pulse” (the Lorenz pulse model) interaction. From the physical point of view it is naturally provided by action of the photon-correlation effects and influence of the laser pulse multi-modity.
The study of the creation of doubly charged ions upon the laser-induced multiphoton ionization of alkaline-earth metals is reviewed. The results show that the features of the creation of the doubly charged ions depend on the spectral range of the ionizing laser radiation. In the ionization of the alkaline-earth atoms by the visible laser radiation, the cascade creation of the doubly charged ions is predominantly implemented when the ions result from the multiphoton ionization of singly charged ions created in the presence of the same laser pulse. In the multiphoton ionization of the alkaline-earth atoms by the IR laser radiation, the two-electron process occurs when the doubly charged ions are directly created from neutral atoms owing to the ionization via induced resonances with strongly perturbed states of these atoms.