DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bayesian modeling of collisional-radiative models applicable to thermal helium beam plasma diagnostics

Abstract

Thermal helium beam diagnostics using the line ratio spectroscopy method are widely used to infer temperature and density in fusion-relevant edge plasmas. These diagnostics consist of an observational system which measures emitted line radiation from either intrinsic or injected helium plasma impurities. These spectral features are then compared to the output of a collisional-radiative model to infer plasma parameters ($$T_e$$, $$n_e$$) from the observed helium radiation. In order to investigate the systematic uncertainties of such a diagnostic, we present the results of a Bayesian treatment of a helium collisional-radiative model (Schmitz et al., 2008) using synthetic data modeled after an existing system on the plasma experiment Wendelstein 7-X (Barbui et al. 2016). From this study, we present a new method for comprehensively combining measurement uncertainties with underlying atomic rate parameter uncertainties in the inference of plasma parameters. Finally, we also demonstrate the utility of this Bayesian approach in targeting sensitivities within the model, allowing determination of high-priority atomic data for future refinement and comparison between differing atomic models.

Authors:
ORCiD logo; ; ORCiD logo; ORCiD logo; ORCiD logo; ; ; ORCiD logo; ; ; ORCiD logo
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE; European Union (EU)
OSTI Identifier:
1891577
Alternate Identifier(s):
OSTI ID: 1899102
Grant/Contract Number:  
SC00013911; SC00014210; SC0013911; SC0014210; 101052200
Resource Type:
Published Article
Journal Name:
Nuclear Materials and Energy
Additional Journal Information:
Journal Name: Nuclear Materials and Energy Journal Volume: 33 Journal Issue: C; Journal ID: ISSN 2352-1791
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Bayesian inference; Collisional-radiative model; Helium spectroscopy; Plasma diagnostics

Citation Formats

Flom, E., Krychowiak, M., Schmitz, O., König, R., Barbui, T., Henke, F., Jakubowski, M., Kwak, S., Loch, S., Muñoz Burgos, J., and Svensson, J. Bayesian modeling of collisional-radiative models applicable to thermal helium beam plasma diagnostics. Netherlands: N. p., 2022. Web. doi:10.1016/j.nme.2022.101269.
Flom, E., Krychowiak, M., Schmitz, O., König, R., Barbui, T., Henke, F., Jakubowski, M., Kwak, S., Loch, S., Muñoz Burgos, J., & Svensson, J. Bayesian modeling of collisional-radiative models applicable to thermal helium beam plasma diagnostics. Netherlands. https://doi.org/10.1016/j.nme.2022.101269
Flom, E., Krychowiak, M., Schmitz, O., König, R., Barbui, T., Henke, F., Jakubowski, M., Kwak, S., Loch, S., Muñoz Burgos, J., and Svensson, J. Sat . "Bayesian modeling of collisional-radiative models applicable to thermal helium beam plasma diagnostics". Netherlands. https://doi.org/10.1016/j.nme.2022.101269.
@article{osti_1891577,
title = {Bayesian modeling of collisional-radiative models applicable to thermal helium beam plasma diagnostics},
author = {Flom, E. and Krychowiak, M. and Schmitz, O. and König, R. and Barbui, T. and Henke, F. and Jakubowski, M. and Kwak, S. and Loch, S. and Muñoz Burgos, J. and Svensson, J.},
abstractNote = {Thermal helium beam diagnostics using the line ratio spectroscopy method are widely used to infer temperature and density in fusion-relevant edge plasmas. These diagnostics consist of an observational system which measures emitted line radiation from either intrinsic or injected helium plasma impurities. These spectral features are then compared to the output of a collisional-radiative model to infer plasma parameters ($T_e$, $n_e$) from the observed helium radiation. In order to investigate the systematic uncertainties of such a diagnostic, we present the results of a Bayesian treatment of a helium collisional-radiative model (Schmitz et al., 2008) using synthetic data modeled after an existing system on the plasma experiment Wendelstein 7-X (Barbui et al. 2016). From this study, we present a new method for comprehensively combining measurement uncertainties with underlying atomic rate parameter uncertainties in the inference of plasma parameters. Finally, we also demonstrate the utility of this Bayesian approach in targeting sensitivities within the model, allowing determination of high-priority atomic data for future refinement and comparison between differing atomic models.},
doi = {10.1016/j.nme.2022.101269},
journal = {Nuclear Materials and Energy},
number = C,
volume = 33,
place = {Netherlands},
year = {Sat Oct 01 00:00:00 EDT 2022},
month = {Sat Oct 01 00:00:00 EDT 2022}
}

Works referenced in this record:

A collisional-radiative model for helium and its application to a discharge plasma
journal, May 1979


Time-dependent analysis of visible helium line-ratios for electron temperature and density diagnostic using synthetic simulations on NSTX-U
journal, July 2016

  • Muñoz Burgos, J. M.; Barbui, T.; Schmitz, O.
  • Review of Scientific Instruments, Vol. 87, Issue 11
  • DOI: 10.1063/1.4955286

Feasibility of line-ratio spectroscopy on helium and neon as edge diagnostic tool for Wendelstein 7-X
journal, September 2016

  • Barbui, T.; Krychowiak, M.; König, R.
  • Review of Scientific Instruments, Vol. 87, Issue 11
  • DOI: 10.1063/1.4962989

Bayesian modelling of a thermal helium beam for measurement of electron density and temperature in the W7-X divertor plasma
journal, February 2011


Status of electron temperature and density measurement with beam emission spectroscopy on thermal helium at TEXTOR
journal, September 2008


Helium line ratio spectroscopy for high spatiotemporal resolution plasma edge profile measurements at ASDEX Upgrade (invited)
journal, October 2018

  • Griener, M.; Wolfrum, E.; Cavedon, M.
  • Review of Scientific Instruments, Vol. 89, Issue 10
  • DOI: 10.1063/1.5034446

Overview of diagnostic performance and results for the first operation phase in Wendelstein 7-X (invited)
journal, October 2016

  • Krychowiak, M.; Adnan, A.; Alonso, A.
  • Review of Scientific Instruments, Vol. 87, Issue 11
  • DOI: 10.1063/1.4964376

Measurements of plasma parameters in the divertor island of Wendelstein 7-X through line-ratio spectroscopy on helium
journal, September 2020


Qualification and implementation of line ratio spectroscopy on helium as plasma edge diagnostic at ASDEX Upgrade
journal, December 2017

  • Griener, M.; Burgos, J. M. Muñoz; Cavedon, M.
  • Plasma Physics and Controlled Fusion, Vol. 60, Issue 2
  • DOI: 10.1088/1361-6587/aa97e8

Electron temperature measurement by a helium line intensity ratio method in helicon plasmas
journal, December 2001

  • Boivin, R. F.; Kline, J. L.; Scime, E. E.
  • Physics of Plasmas, Vol. 8, Issue 12
  • DOI: 10.1063/1.1418020