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Journal of Applied Physics

Stark effect in three-dimensional stochastic electric fields and a static magnetic field of a helium plasma

S. H. Kim

Published Sep 1, 1977• 5 citations
Publisher

Abstract

Atomic absorption spectra of the He I plasma in the static magnetic field in the absence of laser radiation are different from spectra in the presence of laser radiation. Especially, it has been theoretically predicted that the spectral shift of the satellite line, which is seen in the latter case, does not exist in the former case. In this paper, the effect of three-dimensional high-frequency electric fields on the σ+, σ−, and π components of the allowed 1 1S0-3 1P1 transition and the forbidden 1 1S0-3 1D2 lines in atomic absorption spectra of the He I plasma in a static magnetic field in the absence of a laser beam is investigated from the coupled equations for the probability amplitudes of atomic states. It is shown that they should give rise to a spectral shift of the allowed lines and satellites about forbidden lines. The calculation reveals that the shift is proportional to the mean-square stochastic electric field, and that the ratio of the intensity of the near satellite to that of the far satellite is different from the ratio obtained by the second-order perturbation theory or the three-level rotating-wave approximation. Discussion is given for the validity of this theory.

DOI
10.1063/1.324278

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Atomic absorption spectra of the He I plasma in the static magnetic field in the absence of laser radiation are different from spectra in the presence of laser radiation. Especially, it has been theoretically predicted that the spectral shift of the satellite line, which is seen in the latter case, does not exist in the former case. In this paper, the effect of three-dimensional high-frequency electric fields on the σ+, σ−, and π components of the allowed 1 1S0-3 1P1 transition and the forbidden 1 1S0-3 1D2 lines in atomic absorption spectra of the He I plasma in a static magnetic field in the absence of a laser beam is investigated from the coupled equations for the probability amplitudes of atomic states. It is shown that they should give rise to a spectral shift of the allowed lines and satellites about forbidden lines. The calculation reveals that the shift is proportional to the mean-square stochastic electric field, and that the ratio of the intensity of the near satellite to that of the far satellite is different from the ratio obtained by the second-order perturbation theory or the three-level rotating-wave approximation. Discussion is given for the validity of this theory.
Satellite lines emitted by a three-level atomic model in the presence of longitudinal electrostatic plasma waves and a non-resonant laser radiation field are investigated by calculating the autocorrelation function of the emitted light wave up to fourth order in the perturbation energy of the atomic system. Both the plasma wave and the radiation fields lead to a shift of the second-order Baranger and Mozer (1961) plasma satellites and of the allowed line. The intensities of the plasma satellites are enhanced by the laser radiation field. Under certain frequency conditions satellites pertaining to the radiation field appear in absorption. The same phenomenon occurs for the plasma satellites when the atoms are subjected to a single-mode plasma wave field.
We have observed several different satellite transitions among HeI excited states. These satellites were induced by large, near-resonant, spatially inhomogeneous electric fields. A simple theory was proposed to explain the line shape of both the satellite and the allowed line based on the rotating-wave approximation. The plasma was contained in a dielectric waveguide and the laser mode pattern inside the guide was calculated and incorporated into the line-shape function. It was shown that excellent agreement between theory and experiment could be obtained over a wide range of experimental parameters. Agreement was very good in regimes where perturbation theory fails. We also observed that at high field strengths the Stark shift of the allowed component was less than the three-level theory predicted. We attribute this error to the fact that we have ignored all of the remaining levels of the HeI system.
This chapter presents a study of various nonlinear effects in the radiation of satellites of non-hydrogenic spectral lines from plasmas and their applications. This kind of satellites are possible in spectral lines of helium and lithium atoms, as well as in spectral lines of the He-like and Li-like ions. We cover the early theoretical results obtained for the situation where the quasimonochromatic electric field (causing the satellites) is relatively weak, so that the effects can be described in frames of the perturbation theory. Then we cover theoretical and experimental results obtained for stronger fields: the adiabatic theory of satellites and its applications, as well as the case where the frequency of the quasimonochromatic electric field is much greater than the corresponding atomic frequencies.
We solved in closed form the resonant-modulation problem for the effect of the high-frequency electric field on the absorption spectra of the three-level system. It is shown that an electric field whose frequency is made resonant with the separation between two upper levels should give rise to the two absorption lines of equal intensity disposed symmetrically in pairs about the allowed line. The separation between these two lines is linearly proportional to the intensity of the electric field. The positions and the property of equal intensity of these lines are the same in both the laser absorption spectrum and the ordinary absorption spectrum.
We present experimental and theoretical investigations of the He spectral series 2S1−nQ1 (n=3÷9, Q=S,P,D,…,n−1) and 2P1−nQ1 (n=3÷9, Q=S,P,D,…,n−1) in electric fields up to 1635 kV/cm. Apart from the allowed transitions with |ΔL|=1, the transitions with |ΔL|=0,2,3,…—without field strictly forbidden—were observed. Several He patterns become similar to hydrogen patterns, which means they are nearly symmetric and show in higher fields nearly linear Stark shifts. The applied fields are high enough that patterns belonging to neighboring principal quantum numbers (for n>6) begin to overlap, which leads to interesting level-anticrossing effects. The experimental results are compared with numerical calculations, taking into account mixing between states of different principal quantum numbers and between singlet and triplet states. The agreement between experimental and theoretical results is quite good.