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Title: Laboratory measurements of geometrical effects in the x-ray emission of optically thick lines for ICF diagnostics

Abstract

Understanding the effects of radiative transfer in High Energy Density Physics experiments is critical for the characterization of the thermodynamic properties of highly ionized matter, in particular in Inertial Confinement Fusion (ICF). In this paper, we report on non-Local Thermodynamic Equilibrium experiments on cylindrical targets carried out at the Omega Laser Facility at the Laboratory for Laser Energetics, Rochester NY, which aim to characterize these effects. In these experiments, a 50/50 mixture of iron and vanadium, with a thickness of 2000 Å and a diameter of 250 μm, is contained within a beryllium tamper, with a thickness of 10 μm and a diameter of 1000 μm. Each side of the beryllium tamper is then irradiated using 18 of the 60 Omega beams with an intensity of roughly 3 × 1014 W cm-2 per side, over a duration of 3 ns. Spectroscopic measurements show that a plasma temperature on the order of 2 keV was produced. Imaging data show that the plasma remains cylindrical, with geometrical aspect ratios (quotient between the height and the radius of the cylinder) from 0.4 to 2.0. The temperatures in this experiment were kept sufficiently low (~1–2 keV) so that the optically thin Li-like satellite emissionmore » could be used for temperature diagnosis. This allowed for the characterization of optical-depth-dependent geometric effects in the vanadium line emission. Lastly, simulations present good agreement with the data, which allows this study to benchmark these effects in order to take them into account to deduce temperature and density in future ICF experiments, such as those performed at the National Ignition Facility.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2];  [2];  [2]; ORCiD logo [2];  [2];  [2]; ORCiD logo [2]; ORCiD logo [3];  [3];  [4];  [1]; ORCiD logo [2]
  1. Univ. of Oxford (United Kingdom)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. General Atomics, San Diego, CA (United States)
  4. Univ. of Oxford (United Kingdom); Imperial College, London (United Kingdom)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1557078
Alternate Identifier(s):
OSTI ID: 1526786
Report Number(s):
LLNL-JRNL-767595
Journal ID: ISSN 1070-664X; 958072
Grant/Contract Number:  
AC52-07NA27344; NA0001808; B617350
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 6; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Pérez-Callejo, G., Jarrott, L. C., Liedahl, D. A., Marley, E. V., Kemp, G. E., Heeter, R. F., Emig, J. A., Foord, M. E., Widmann, K., Jaquez, J., Huang, H., Rose, S. J., Wark, J. S., and Schneider, M. B. Laboratory measurements of geometrical effects in the x-ray emission of optically thick lines for ICF diagnostics. United States: N. p., 2019. Web. doi:10.1063/1.5096972.
Pérez-Callejo, G., Jarrott, L. C., Liedahl, D. A., Marley, E. V., Kemp, G. E., Heeter, R. F., Emig, J. A., Foord, M. E., Widmann, K., Jaquez, J., Huang, H., Rose, S. J., Wark, J. S., & Schneider, M. B. Laboratory measurements of geometrical effects in the x-ray emission of optically thick lines for ICF diagnostics. United States. https://doi.org/10.1063/1.5096972
Pérez-Callejo, G., Jarrott, L. C., Liedahl, D. A., Marley, E. V., Kemp, G. E., Heeter, R. F., Emig, J. A., Foord, M. E., Widmann, K., Jaquez, J., Huang, H., Rose, S. J., Wark, J. S., and Schneider, M. B. Tue . "Laboratory measurements of geometrical effects in the x-ray emission of optically thick lines for ICF diagnostics". United States. https://doi.org/10.1063/1.5096972. https://www.osti.gov/servlets/purl/1557078.
@article{osti_1557078,
title = {Laboratory measurements of geometrical effects in the x-ray emission of optically thick lines for ICF diagnostics},
author = {Pérez-Callejo, G. and Jarrott, L. C. and Liedahl, D. A. and Marley, E. V. and Kemp, G. E. and Heeter, R. F. and Emig, J. A. and Foord, M. E. and Widmann, K. and Jaquez, J. and Huang, H. and Rose, S. J. and Wark, J. S. and Schneider, M. B.},
abstractNote = {Understanding the effects of radiative transfer in High Energy Density Physics experiments is critical for the characterization of the thermodynamic properties of highly ionized matter, in particular in Inertial Confinement Fusion (ICF). In this paper, we report on non-Local Thermodynamic Equilibrium experiments on cylindrical targets carried out at the Omega Laser Facility at the Laboratory for Laser Energetics, Rochester NY, which aim to characterize these effects. In these experiments, a 50/50 mixture of iron and vanadium, with a thickness of 2000 Å and a diameter of 250 μm, is contained within a beryllium tamper, with a thickness of 10 μm and a diameter of 1000 μm. Each side of the beryllium tamper is then irradiated using 18 of the 60 Omega beams with an intensity of roughly 3 × 1014 W cm-2 per side, over a duration of 3 ns. Spectroscopic measurements show that a plasma temperature on the order of 2 keV was produced. Imaging data show that the plasma remains cylindrical, with geometrical aspect ratios (quotient between the height and the radius of the cylinder) from 0.4 to 2.0. The temperatures in this experiment were kept sufficiently low (~1–2 keV) so that the optically thin Li-like satellite emission could be used for temperature diagnosis. This allowed for the characterization of optical-depth-dependent geometric effects in the vanadium line emission. Lastly, simulations present good agreement with the data, which allows this study to benchmark these effects in order to take them into account to deduce temperature and density in future ICF experiments, such as those performed at the National Ignition Facility.},
doi = {10.1063/1.5096972},
journal = {Physics of Plasmas},
number = 6,
volume = 26,
place = {United States},
year = {Tue Jun 18 00:00:00 EDT 2019},
month = {Tue Jun 18 00:00:00 EDT 2019}
}

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Figures / Tables:

FIG. 1 FIG. 1: Comparison between the emission from He-like V (Z=25) for different conditions. The dashed red line corresponds to the conditions studied by Gabriel and Jordan16 ($n_i$ = 108 cm−3), whereas the blue dotted line corresponds to $n_i$ = 1019 cm−3. Both simulations correspond to an electron temperature T =more » 600 eV. Note how the $\mathcal{x}$ and $\mathcal{z}$ lines are present in a coronal conditions, but they disappear for higher ion densities. The Be-like and Li-like contributions have been removed for clarity.« less

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Works referenced in this record:

Some Tests of Significance, Treated by the Theory of Probability
journal, April 1935

  • Jeffreys, Harold
  • Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 31, Issue 2
  • DOI: 10.1017/S030500410001330X

Bayes Factors
journal, June 1995


Electron temperature measurements inside the ablating plasma of gas-filled hohlraums at the National Ignition Facility
journal, April 2016

  • Barrios, M. A.; Liedahl, D. A.; Schneider, M. B.
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4948276

CHANDRA-LETGS X-ray observations of Capella: Temperature, density and abundance diagnostics
journal, March 2001


Fuel gain exceeding unity in an inertially confined fusion implosion
journal, February 2014

  • Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
  • Nature, Vol. 506, Issue 7488
  • DOI: 10.1038/nature13008

Recent diagnostic developments at Nova (invited)
journal, October 1992

  • Kilkenny, J. D.
  • Review of Scientific Instruments, Vol. 63, Issue 10
  • DOI: 10.1063/1.1143610

Ratio of Line Intensities in Helium-Like Ions as a Density Indicator.
journal, February 1972

  • Blumenthal, George R.; Drake, G. W. F.; Tucker, Wallace H.
  • The Astrophysical Journal, Vol. 172
  • DOI: 10.1086/151340

Resonance Scattering of Fe xvii X‐Ray and Extreme‐Ultraviolet Lines
journal, December 2001

  • Bhatia, A. K.; Saba, J. L. R.
  • The Astrophysical Journal, Vol. 563, Issue 1
  • DOI: 10.1086/323688

X-ray spectroscopic diagnosis of laser-produced plasmas, with emphasis on line broadening
journal, December 1980


Optically Thin and Thick Fe xv Spectrum: Effect of Self‐Absorption on the 284.16 A Resonance Line
journal, May 2001

  • Kastner, S. O.; Bhatia, A. K.
  • The Astrophysical Journal, Vol. 553, Issue 1
  • DOI: 10.1086/320649

K -shell spectroscopy of an independently diagnosed uniaxially expanding laser-produced aluminum plasma
journal, August 2002


Interpretation of Solar Helium-Like Ion Line Intensities
journal, July 1969

  • Gabriel, A. H.; Jordan, C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 145, Issue 2
  • DOI: 10.1093/mnras/145.2.241

XUV electron density diagnostics for solar flares
journal, June 1979

  • Dere, K. P.; Widing, K. G.; Mason, H. E.
  • The Astrophysical Journal Supplement Series, Vol. 40
  • DOI: 10.1086/190590

Initial performance results of the OMEGA laser system
journal, January 1997


Omega Dante soft x-ray power diagnostic component calibration at the National Synchrotron Light Source
journal, October 2004

  • Campbell, K. M.; Weber, F. A.; Dewald, E. L.
  • Review of Scientific Instruments, Vol. 75, Issue 10
  • DOI: 10.1063/1.1789603

Density diagnostics derived from the O iv and S iv intercombination lines observed by IRIS
journal, October 2016


X-ray spectroscopy with elliptical crystals and face-on framing cameras
journal, October 2004

  • Heeter, R. F.; Emig, J. A.; Fournier, K. B.
  • Review of Scientific Instruments, Vol. 75, Issue 10
  • DOI: 10.1063/1.1788873

Alpha Heating and Burning Plasmas in Inertial Confinement Fusion
journal, June 2015


A spectroscopic determination of electron temperature in a high temperature plasma
journal, January 1964


He-like Ions as Practical Astrophysical Plasma Diagnostics: From Stellar Coronae to Active Galactic Nuclei
journal, December 2010


Line ratios for helium-like ions: Applications to collision-dominated plasmas
journal, September 2001


The Optically Thick Fe xvii Spectrum: X‐Ray, Extreme‐Ultraviolet, and Forbidden Line Ratios
journal, May 1999

  • Bhatia, A. K.; Kastner, S. O.
  • The Astrophysical Journal, Vol. 516, Issue 1
  • DOI: 10.1086/307085

Shock propagation, preheat, and x-ray burnthrough in indirect-drive inertial confinement fusion ablator materials
journal, May 2004

  • Olson, R. E.; Leeper, R. J.; Nobile, A.
  • Physics of Plasmas, Vol. 11, Issue 5
  • DOI: 10.1063/1.1691032

Three‐dimensional simulations of Nova high growth factor capsule implosion experiments
journal, May 1996

  • Marinak, M. M.; Tipton, R. E.; Landen, O. L.
  • Physics of Plasmas, Vol. 3, Issue 5
  • DOI: 10.1063/1.872004

Soft x-ray power diagnostic improvements at the Omega Laser Facility
journal, October 2006

  • Sorce, C.; Schein, J.; Weber, F.
  • Review of Scientific Instruments, Vol. 77, Issue 10
  • DOI: 10.1063/1.2336462

Approach to high compression in inertial fusion
journal, September 1988


K-shell line ratios and powers for diagnosing cylindrical plasmas of neon, aluminum, argon, and titanium
journal, January 1997

  • Apruzese, J. P.; Whitney, K. G.; Davis, J.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 57, Issue 1
  • DOI: 10.1016/S0022-4073(96)00097-0

Electron-temperature measurement in laser-produced plasmas by the ratio of isoelectronic line intensities
journal, August 1992

  • Marjoribanks, R. S.; Richardson, M. C.; Jaanimagi, P. A.
  • Physical Review A, Vol. 46, Issue 4
  • DOI: 10.1103/PhysRevA.46.R1747

On the systematics of line ratios along the helium isoelectronic sequence
journal, December 1982

  • Pradhan, A. K.
  • The Astrophysical Journal, Vol. 263
  • DOI: 10.1086/160518

Thermal Temperature Measurements of Inertial Fusion Implosions
journal, August 2018


Developing an Experimental Basis for Understanding Transport in NIF Hohlraum Plasmas
journal, August 2018


Electron Density Diagnostics for the Solar Upper Atmosphere from Spectra Obtained by SUMER/ SOHO
journal, August 1997

  • Laming, J. M.; Feldman, U.; Schuhle, U.
  • The Astrophysical Journal, Vol. 485, Issue 2
  • DOI: 10.1086/304465

Isoelectronic x-ray spectroscopy to determine electron temperatures in long-scale-length inertial-confinement-fusion plasmas
journal, May 1996


The high-foot implosion campaign on the National Ignition Facility
journal, May 2014

  • Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4874330

Uncertainty analysis technique for OMEGA Dante measurements
journal, October 2010

  • May, M. J.; Widmann, K.; Sorce, C.
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3475385

Enhancement of Optically Thick to Thin Line Intensities in Solar and Stellar Coronal Plasmas through Radiative Transfer Effects: An Angularly Resolved Study
journal, September 2004

  • Kerr, F. M.; Rose, S. J.; Wark, J. S.
  • The Astrophysical Journal, Vol. 613, Issue 2
  • DOI: 10.1086/425177

K-shell aluminum resonance line ratios for plasma diagnosis using spot spectroscopy
journal, October 1986

  • Apruzese, J. P.; Duston, D.; Davis, J.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 36, Issue 4
  • DOI: 10.1016/0022-4073(86)90057-9

Revisiting He‐like X‐Ray Emission‐Line Plasma Diagnostics
journal, July 2007

  • Porter, R. L.; Ferland, G. J.
  • The Astrophysical Journal, Vol. 664, Issue 1
  • DOI: 10.1086/518882

Investigation of the hydrodynamics and emission of a laser heated tamped high-Z target
journal, June 2018

  • Gray, William J.; Foord, Mark E.; Schneider, Marilyn B.
  • Physics of Plasmas, Vol. 25, Issue 6
  • DOI: 10.1063/1.5022169

An Analytic Geometry‐Variant Approach to Line Ratio Enhancement above the Optically Thin Limit
journal, August 2005

  • Kerr, F. M.; Rose, S. J.; Wark, J. S.
  • The Astrophysical Journal, Vol. 629, Issue 2
  • DOI: 10.1086/429881

The National Ignition Facility
journal, December 2004


Using line intensity ratios to determine the geometry of plasma in stars via their apparent areas
journal, September 2010


Improved calculations for the C III 1907,1909 and SI III 1883,1892 electron density sensitive emission-line ratios, and a comparison with IUE observations
journal, April 1992

  • Keenan, F. P.; Feibelman, W. A.; Berrington, K. A.
  • The Astrophysical Journal, Vol. 389
  • DOI: 10.1086/171220

Line radiation effects in laboratory and astrophysical plasmas
journal, May 2006

  • Kerr, F. M.; Gouveia, A.; Renner, O.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3
  • DOI: 10.1016/j.jqsrt.2005.05.029

Cretin—a radiative transfer capability for laboratory plasmas
journal, October 2001


The use of geometric effects in diagnosing ion density in ICF-related dot spectroscopy experiments
journal, January 2019


Inertially confined fusion plasmas dominated by alpha-particle self-heating
journal, April 2016

  • Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
  • Nature Physics, Vol. 12, Issue 8
  • DOI: 10.1038/nphys3720

Dielectronic Satellite Spectra for Highly-Charged Helium-Like Ion Lines
journal, October 1972

  • Gabriel, A. H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 160, Issue 1
  • DOI: 10.1093/mnras/160.1.99

Helium-like triplet density diagnostics: Applications to CHANDRA-LETGS X-ray observations of Capella and Procyon
journal, February 2001


Measurements of Electron Temperature by Spectroscopy in Hohlraum Targets
journal, November 1996


The National Ignition Facility
conference, May 2004

  • Miller, George H.
  • Lasers and Applications in Science and Engineering, SPIE Proceedings
  • DOI: 10.1117/12.538462

Bayes factors
journal, November 2006