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

Title: Parameterizing hot electron energy distributions for tabular emissivities and opacities

Abstract

Cold Kα and Kβ emission spectroscopy is a powerful diagnostic for plasma conditions and distributions of energetic electrons produced in short pulse laser experiments. SPECT3D post-processes hydrodynamics code output and simulates high-resolution spectra and images for plasmas containing arbitrary distributions of hot electrons, however these calculations can become prohibitively expensive for plasmas requiring complex atomic data and detailed computational grids. To significantly increase calculation speed, it is desirable to use pre-configured opacity tables that include information about hot electrons, rather than calculating emissivity and opacity for every grid point by solving collisional-radiative atomic kinetic rate equations. However, to tabulate such opacities, a general parameter-based description of hot electron energy distributions must be found. To be practical, hot electrons should be represented with an analytic function of just a few parameters which, in addition to temperature and density, can be used to define parameter space for opacity tables. In this paper, we present a method that allows for describing a set of arbitrary binned hot electron distributions with a simple analytic function, with only a modest impact on the accuracy of the simulations. Increased calculation speeds of 50–100x are demonstrated. In conclusion, we also discuss details of opacity calculations and presentmore » synthetic spectroscopy data based on post-processing of detailed particle-in-cell simulations relevant to the ongoing experimental campaign at the Omega EP laser facility.« less

Authors:
 [1];  [1];  [1];  [1];  [1];  [2];  [2];  [2]
  1. Prism Computational Sciences, Madison, WI (United States)
  2. Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Publication Date:
Research Org.:
Prism Computational Sciences, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1593393
Alternate Identifier(s):
OSTI ID: 1574530
Grant/Contract Number:  
SC0018105
Resource Type:
Accepted Manuscript
Journal Name:
High Energy Density Physics
Additional Journal Information:
Journal Volume: 35; Journal Issue: C; Journal ID: ISSN 1574-1818
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; short pulse lasers; non-maxwellian electrons; warm dense matter; plasma spectroscopy; synthetic diagnostic

Citation Formats

Walton, T., Sebald, J. L., Golovkin, I. E., MacFarlane, J. J., Golovkina, V. N., Solodov, A. A., Nilson, P. M., and Epstein, R. Parameterizing hot electron energy distributions for tabular emissivities and opacities. United States: N. p., 2019. Web. doi:10.1016/j.hedp.2019.100730.
Walton, T., Sebald, J. L., Golovkin, I. E., MacFarlane, J. J., Golovkina, V. N., Solodov, A. A., Nilson, P. M., & Epstein, R. Parameterizing hot electron energy distributions for tabular emissivities and opacities. United States. https://doi.org/10.1016/j.hedp.2019.100730
Walton, T., Sebald, J. L., Golovkin, I. E., MacFarlane, J. J., Golovkina, V. N., Solodov, A. A., Nilson, P. M., and Epstein, R. Sat . "Parameterizing hot electron energy distributions for tabular emissivities and opacities". United States. https://doi.org/10.1016/j.hedp.2019.100730. https://www.osti.gov/servlets/purl/1593393.
@article{osti_1593393,
title = {Parameterizing hot electron energy distributions for tabular emissivities and opacities},
author = {Walton, T. and Sebald, J. L. and Golovkin, I. E. and MacFarlane, J. J. and Golovkina, V. N. and Solodov, A. A. and Nilson, P. M. and Epstein, R.},
abstractNote = {Cold Kα and Kβ emission spectroscopy is a powerful diagnostic for plasma conditions and distributions of energetic electrons produced in short pulse laser experiments. SPECT3D post-processes hydrodynamics code output and simulates high-resolution spectra and images for plasmas containing arbitrary distributions of hot electrons, however these calculations can become prohibitively expensive for plasmas requiring complex atomic data and detailed computational grids. To significantly increase calculation speed, it is desirable to use pre-configured opacity tables that include information about hot electrons, rather than calculating emissivity and opacity for every grid point by solving collisional-radiative atomic kinetic rate equations. However, to tabulate such opacities, a general parameter-based description of hot electron energy distributions must be found. To be practical, hot electrons should be represented with an analytic function of just a few parameters which, in addition to temperature and density, can be used to define parameter space for opacity tables. In this paper, we present a method that allows for describing a set of arbitrary binned hot electron distributions with a simple analytic function, with only a modest impact on the accuracy of the simulations. Increased calculation speeds of 50–100x are demonstrated. In conclusion, we also discuss details of opacity calculations and present synthetic spectroscopy data based on post-processing of detailed particle-in-cell simulations relevant to the ongoing experimental campaign at the Omega EP laser facility.},
doi = {10.1016/j.hedp.2019.100730},
journal = {High Energy Density Physics},
number = C,
volume = 35,
place = {United States},
year = {Sat Nov 02 00:00:00 EDT 2019},
month = {Sat Nov 02 00:00:00 EDT 2019}
}

Journal Article:

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Effects of non-Maxwellian electron populations in non-LTE simulations of laser-plasma thermal transport and implosion experiments
journal, February 1986

  • Epstein, R.; Skupsky, S.; Delettrez, J.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 35, Issue 2
  • DOI: 10.1016/0022-4073(86)90110-X

Isochoric Heating of Solid Aluminum by Ultrashort Laser Pulses Focused on a Tamped Target
journal, June 1999


Hot electron production and heating by hot electrons in fast ignitor research
journal, May 1998

  • Key, M. H.; Cable, M. D.; Cowan, T. E.
  • Physics of Plasmas, Vol. 5, Issue 5
  • DOI: 10.1063/1.872867

Coupling of high-intensity laser light to fast electrons in cone-guided fast ignition
journal, December 2012


Theory of fast electron transport for fast ignition
journal, April 2014


Visualizing fast electron energy transport into laser-compressed high-density fast-ignition targets
journal, January 2016

  • Jarrott, L. C.; Wei, M. S.; McGuffey, C.
  • Nature Physics, Vol. 12, Issue 5
  • DOI: 10.1038/nphys3614

Intense High-Energy Proton Beams from Petawatt-Laser Irradiation of Solids
journal, October 2000


High-energy ion generation in interaction. of short laser pulse with high-density plasma
journal, March 2002

  • Sentoku, Y.; Bychenkov, V. Y.; Flippo, K.
  • Applied Physics B, Vol. 74, Issue 3
  • DOI: 10.1007/s003400200796

K α x-ray emission characterization of 100 Hz, 15 mJ femtosecond laser system with high contrast ratio
journal, December 2008


High-energy Kα radiography using high-intensity, short-pulse lasers
journal, May 2006

  • Park, H. -S.; Chambers, D. M.; Chung, H. -K.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2178775

Target-heating effects on the Kα1,2-emission spectrum from solid targets heated by laser-generated hot electrons
journal, April 2011

  • Nilson, P. M.; Theobald, W.; Mileham, C.
  • Physics of Plasmas, Vol. 18, Issue 4
  • DOI: 10.1063/1.3574383

Time-resolved K α spectroscopy measurements of hot-electron equilibration dynamics in thin-foil solid targets: collisional and collective effects
journal, September 2015

  • Nilson, P. M.; Solodov, A. A.; Davies, J. R.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 48, Issue 22
  • DOI: 10.1088/0953-4075/48/22/224001

Temperature determination using K α spectra from M -shell Ti ions
journal, September 2005


HELIOS-CR – A 1-D radiation-magnetohydrodynamics code with inline atomic kinetics modeling
journal, May 2006

  • MacFarlane, J. J.; Golovkin, I. E.; Woodruff, P. R.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3
  • DOI: 10.1016/j.jqsrt.2005.05.031

SPECT3D – A multi-dimensional collisional-radiative code for generating diagnostic signatures based on hydrodynamics and PIC simulation output
journal, May 2007


Implementation of an non-iterative implicit electromagnetic field solver for dense plasma simulation
journal, December 2004

  • Welch, D. R.; Rose, D. V.; Clark, R. E.
  • Computer Physics Communications, Vol. 164, Issue 1-3
  • DOI: 10.1016/j.cpc.2004.06.028

On the origin of super-hot electrons from intense laser interactions with solid targets having moderate scale length preformed plasmas
journal, February 2014

  • Krygier, A. G.; Schumacher, D. W.; Freeman, R. R.
  • Physics of Plasmas, Vol. 21, Issue 2
  • DOI: 10.1063/1.4866587