Stark–Zeeman and Blokhintsev Spectra of Rydberg Atoms

Letunov, Andrei; Lisitsa, V. S.

doi:10.1134/s106377612010012x

Cited by 3 publications

(4 citation statements)

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“…The Gulayev approach [10,11], discussed above, plays a crucial role in this simplification. The details of the derivation of the simplified dipole matrix elements are presented in [24,25]. For the H nα lines:…”

Section: Semiclassical Methods Of Line Shape Calculation In Magnetize...mentioning

confidence: 99%

Review of Rydberg Spectral Line Formation in Plasmas

Letunov,

Lisitsa

2023

Atoms

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The present review is dedicated to the problem of an array of transitions between highly-excited atomic levels. Hydrogen atoms and hydrogen-like ions in plasmas are considered here. The presented methods focus on calculation of spectral line shapes. Fast and simple methods of universal ionic profile calculation for the Hnα (Δn=1) and Hnβ (Δn=2) spectral lines are demonstrated. The universal dipole matrix elements formulas for the Hnα and Hnβ transitions are presented. A fast method for spectral line shape calculations in the presence of an external magnetic field using the formulas for universal dipole matrix elements is proposed. This approach accounts for the Doppler and Stark–Zeeman broadening mechanisms. Ion dynamics effects are treated via the frequency fluctuation model. The accuracy of the presented model is discussed. A comparison of this approach with experimental data and the results of molecular dynamics simulation is demonstrated. The kinetics equation for the populations of highly-excited ionic states is solved in the parabolic representation. The population source associated with dielectronic recombination is considered.

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Section: Semiclassical Methods Of Line Shape Calculation In Magnetize...mentioning

confidence: 99%

Review of Rydberg Spectral Line Formation in Plasmas

Letunov,

Lisitsa

2023

Atoms

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“…In the present paper, we will restrict ourselves to considering a single Stark component. Different methods of approximation of the array of radiative transitions are presented in [22][23][24]. The considered spectral profile can be treated as a component with an averaged Stark shift and intensity (see [5]).…”

Section: A Brief Description Of the Ffmmentioning

confidence: 99%

From the Vector to Scalar Perturbations Addition in the Stark Broadening Theory of Spectral Lines

2021

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The effect of plasma Coulomb microfied dynamics on spectral line shapes is under consideration. The analytical solution of the problem is unachievable with famous Chandrasekhar–Von-Neumann results up to the present time. The alternative methods are connected with modeling of a real ion Coulomb field dynamics by approximate models. One of the most accurate theories of ions dynamics effect on line shapes in plasmas is the Frequency Fluctuation Model (FFM) tested by the comparison with plasma microfield numerical simulations. The goal of the present paper is to make a detailed comparison of the FFM results with analytical ones for the linear and quadratic Stark effects in different limiting cases. The main problem is connected with perturbation additions laws known to be vector for small particle velocities (static line shapes) and scalar for large velocities (the impact limit). The general solutions for line shapes known in the frame of scalar perturbation additions are used to test the FFM procedure. The difference between “scalar” and “vector” models is demonstrated both for linear and quadratic Stark effects. It is shown that correct transition from static to impact limits for linear Stark-effect needs in account of the dependence of electric field jumping frequency in FFM on the field strengths. However, the constant jumping frequency is quite satisfactory for description of the quadratic Stark-effect. The detailed numerical comparison for spectral line shapes in the frame of both scalar and vector perturbation additions with and without jumping frequency field dependence for the linear and quadratic Stark effects is presented.

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“…When, in addition to the random medium, a non-random electric or magnetic field, either externally (e.g., lasers) or internally (e.g., plasma waves from various instabilities) generated, is applied, the line profile may be modified in significant ways [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In the present work, we ignore the effect of such a field on trajectories and distribution functions [16][17][18] and focus on the lineshape computation, both with respect to the emergence of satellites [19,20] and width modifications [21][22][23]. An old and well-known result is that, in the absence of a plasma and for hydrogen-like lines without fine structure, one obtains the Blokhintsev satellites.…”

Section: Introductionmentioning

confidence: 99%

“…An old and well-known result is that, in the absence of a plasma and for hydrogen-like lines without fine structure, one obtains the Blokhintsev satellites. For a line with upper state n and lower state n ′ , with no fine structure in the absence of a medium (plasma) and in the presence of a linearly polarized field of magnitude E and frequency Ω, the profile as a function of frequency ω is [20]…”

Section: Introductionmentioning

confidence: 99%