Stark Profiles of Hydrogen Spectral Lines under the Low-Frequency Laser Field in Turbulent Plasmas

Open Access Article

Share this article:

Stark Profiles of Hydrogen Spectral Lines under the Low-Frequency Laser Field in Turbulent Plasmas

E. Dalimier ¹ , P. Angelo ¹ , E. Oks ^{2 ,*}

1 . LULI - Sorbonne Université ; CNRS, Ecole Polytechnique, CEA : Université Paris-Saclay – F-75252 Paris Cedex 05, France
2 . Physics Department, 380 Duncan Drive, Auburn University, Auburn, AL 36849, USA

* Authors to whom correspondence should be addressed.

Published in Journal of Fundamental and Observational Physics and Astrophysics ( Volume 1, Issue 1 )

Received: 28 April 2025 Accepted: 20 May 2025 Published: 08 August 2025

Download PDF

Cite This Article

Abstract

Stark broadening of spectral lines is an important tool for diagnostics of laboratory and astrophysical plasmas. In particular, in studies of laser-plasma interactions, advanced methods of the diagnostics, based on the Stark broadening of spectral lines, revealed the rich physics of processes at the surface of the critical density including the development of the electrostatic plasma turbulence. At the relatively high amplitudes E0 of the laser field at the frequency ω, at the surface of the critical density (or the relativistic critical density), there was diagnosed spectroscopically the combination of a Low-frequency Electrostatic Plasma Turbulence (LEPT), such as e.g., ion acoustic waves, and the “high-frequency” quasimonochromatic electric field of Langmuir waves. In the present paper we consider the situation where the amplitude F0 and/or the frequency ω of the laser field is smaller than in the above experiments, so that the radiating hydrogen atom (the radiator) does not “feel” the dynamical nature of the laser field: the radiator perceives not only the LEPT as quasistatic (which is practically always the case), but also the laser field as quasistatic. We focused on the situation where the plasma ion microfield is not quasistatic, but rather produces the dynamical Stark broadening, just as the plasma electrons. In this situation the quasistatic fields in the plasma are either the linearly-polarized laser field F and the colinear field E1 of the LEPT, or the circularly-polarized laser field F and the coplanar field E1 of the LEPT We calculated analytically the distribution of the total quasistatic field E = F + E1 and provided the illustration. Then we calculated analytically the Stark profiles of the Ly-beta line (with the allowance for the dynamic Stark broadening by the plasma microfield) for various combinations of the dynamical Stark halfwidth γ and the ratio of the laser field amplitude F0 to the root-mean-square LEPT field E0. We studied the evolution of the Ly-beta profiles as the ratio f = F0/E0 changes at fixed γ, and as γ changes at fixed f. We believe that our results can be important for the spectroscopic studies of the laser-plasma interactions.

Published in	Journal of Fundamental and Observational Physics and Astrophysics (Volume 1, Issue 1)
DOI	register/s10
Page(s)	17
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s). Published by Open Access Press

Keywords

laser-plasma interactions, lineshape-based spectroscopic diagnostics, low-frequency electrostatic plasma turbulence, distributions of the total quasistatic electric field

Cite This Article

APA Style

Dalimier, E. E. , Angelo, P. P. , Oks, E. E. (2024). Stark Profiles of Hydrogen Spectral Lines under the Low-Frequency Laser Field in Turbulent Plasmas. Journal of Fundamental and Observational Physics and Astrophysics, 1, (1), 1. https://doi.org/register/s10

Copy

ACS Style

Dalimier, E. ; Angelo, P. ; Oks, E. Stark Profiles of Hydrogen Spectral Lines under the Low-Frequency Laser Field in Turbulent Plasmas. Mach. Learn. Res. (2024), 1, (1), 1. doi: https://doi.org/register/s10

Copy

AMA Style

Dalimier , Angelo , Oks . Stark Profiles of Hydrogen Spectral Lines under the Low-Frequency Laser Field in Turbulent Plasmas. Mach Learn Res. (2024);1(1):1. doi: https://doi.org/register/s10

Copy

References

1. M. Baranger and B. Mozer, Phys. Rev. 123 (1961) 25. | 12345/5678, M. Baranger and B. Mozer, Phys. Rev. 123 (1961) 25. | 12345/5678, M. Baranger and B. Mozer, Phys. Rev. 123 (1961) 25.