Review of Rydberg Spectral Line Formation in Plasmas
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...
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2023-10-01
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author | Andrey Yu. Letunov Valery S. Lisitsa |
author_facet | Andrey Yu. Letunov Valery S. Lisitsa |
author_sort | Andrey Yu. Letunov |
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description | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula>) spectral lines are demonstrated. The universal dipole matrix elements formulas for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> 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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spelling | doaj.art-819475b0868749c0805caea53d64b1b62023-11-19T15:37:23ZengMDPI AGAtoms2218-20042023-10-01111013310.3390/atoms11100133Review of Rydberg Spectral Line Formation in PlasmasAndrey Yu. Letunov0Valery S. Lisitsa1FSUE ≪RFNC-VNIITF Named after Academ E.I. Zababakhin≫, 456770 Snezhinsk, RussiaInstitute for Laser and Plasma Technologies, National Research Nuclear University MEPhI, 115409 Moscow, RussiaThe 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula>) spectral lines are demonstrated. The universal dipole matrix elements formulas for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> 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.https://www.mdpi.com/2218-2004/11/10/133Stark–Zeeman effectRydberg atomplasma spectroscopy |
spellingShingle | Andrey Yu. Letunov Valery S. Lisitsa Review of Rydberg Spectral Line Formation in Plasmas Atoms Stark–Zeeman effect Rydberg atom plasma spectroscopy |
title | Review of Rydberg Spectral Line Formation in Plasmas |
title_full | Review of Rydberg Spectral Line Formation in Plasmas |
title_fullStr | Review of Rydberg Spectral Line Formation in Plasmas |
title_full_unstemmed | Review of Rydberg Spectral Line Formation in Plasmas |
title_short | Review of Rydberg Spectral Line Formation in Plasmas |
title_sort | review of rydberg spectral line formation in plasmas |
topic | Stark–Zeeman effect Rydberg atom plasma spectroscopy |
url | https://www.mdpi.com/2218-2004/11/10/133 |
work_keys_str_mv | AT andreyyuletunov reviewofrydbergspectrallineformationinplasmas AT valeryslisitsa reviewofrydbergspectrallineformationinplasmas |