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Title: Interpreting the electron temperature inferred from x-ray continuum emission for direct-drive inertial confinement fusion implosions on OMEGA

Abstract

In this paper, we present a theoretical framework for interpreting the hot-spot electron temperature ($$T_e$$) inferred from hard (10- to 20-keV) x-ray continuum emission for inertial confinement fusion implosions on OMEGA. We first show that the inferred $$T_e$$ represents the emission-weighted, harmonic mean of the hot-spot $$T_e$$ distribution, both spatially and temporally. A scheme is then provided for selecting a photon energy of which the emission weighting approximates neutron weighting. Simulations are then used to quantify the predicted relationship between the inferred T e, neutron-weighted T i, and implosion performance on OMEGA. In an ensemble of 1-D simulations, it was observed that hot-spot thermal nonequilibrium precluded a sufficiently unique mapping between the inferred $$T_e$$ and neutron-weighted T i. In 3-D simulations with low-harmonic-mode perturbations (i.e., laser beam power imbalance, target offset, and beam port geometry departures from spherical symmetry) and laser imprint (1 max = 200).

Authors:
ORCiD logo [1];  [1];  [1]; ORCiD logo [1];  [1]; ORCiD logo [1];  [1];  [1]; ORCiD logo [1];  [1]
  1. Univ. of Rochester, Rochester, NY (United States). Laboratory for Laser Energetics
Publication Date:
Research Org.:
Univ. of Rochester, Rochester, NY (United States). Laboratory for Laser Energetics
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1559445
Report Number(s):
2019-43, 1514, 2475
Journal ID: ISSN 1070-664X; 2019-43, 1514, 2475
Grant/Contract Number:  
NA0003856
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 8; 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

Cao, D., Shah, R. C., Regan, S. P., Epstein, R., Igumenshchev, I. V., Gopalaswamy, V., Christopherson, A. R., Theobald, W., Radha, P. B., and Goncharov, V. N. Interpreting the electron temperature inferred from x-ray continuum emission for direct-drive inertial confinement fusion implosions on OMEGA. United States: N. p., 2019. Web. doi:10.1063/1.5112759.
Cao, D., Shah, R. C., Regan, S. P., Epstein, R., Igumenshchev, I. V., Gopalaswamy, V., Christopherson, A. R., Theobald, W., Radha, P. B., & Goncharov, V. N. Interpreting the electron temperature inferred from x-ray continuum emission for direct-drive inertial confinement fusion implosions on OMEGA. United States. doi:10.1063/1.5112759.
Cao, D., Shah, R. C., Regan, S. P., Epstein, R., Igumenshchev, I. V., Gopalaswamy, V., Christopherson, A. R., Theobald, W., Radha, P. B., and Goncharov, V. N. Thu . "Interpreting the electron temperature inferred from x-ray continuum emission for direct-drive inertial confinement fusion implosions on OMEGA". United States. doi:10.1063/1.5112759.
@article{osti_1559445,
title = {Interpreting the electron temperature inferred from x-ray continuum emission for direct-drive inertial confinement fusion implosions on OMEGA},
author = {Cao, D. and Shah, R. C. and Regan, S. P. and Epstein, R. and Igumenshchev, I. V. and Gopalaswamy, V. and Christopherson, A. R. and Theobald, W. and Radha, P. B. and Goncharov, V. N.},
abstractNote = {In this paper, we present a theoretical framework for interpreting the hot-spot electron temperature ($T_e$) inferred from hard (10- to 20-keV) x-ray continuum emission for inertial confinement fusion implosions on OMEGA. We first show that the inferred $T_e$ represents the emission-weighted, harmonic mean of the hot-spot $T_e$ distribution, both spatially and temporally. A scheme is then provided for selecting a photon energy of which the emission weighting approximates neutron weighting. Simulations are then used to quantify the predicted relationship between the inferred Te, neutron-weighted Ti, and implosion performance on OMEGA. In an ensemble of 1-D simulations, it was observed that hot-spot thermal nonequilibrium precluded a sufficiently unique mapping between the inferred $T_e$ and neutron-weighted Ti. In 3-D simulations with low-harmonic-mode perturbations (i.e., laser beam power imbalance, target offset, and beam port geometry departures from spherical symmetry) and laser imprint (1max = 200).},
doi = {10.1063/1.5112759},
journal = {Physics of Plasmas},
number = 8,
volume = 26,
place = {United States},
year = {2019},
month = {8}
}

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Works referenced in this record:

Thermonuclear ignition in inertial confinement fusion and comparison with magnetic confinement
journal, May 2010

  • Betti, R.; Chang, P. Y.; Spears, B. K.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3380857

Tripled yield in direct-drive laser fusion through statistical modelling
journal, January 2019


Thermal Temperature Measurements of Inertial Fusion Implosions
journal, August 2018


Theory of alpha heating in inertial fusion: Alpha-heating metrics and the onset of the burning-plasma regime
journal, July 2018

  • Christopherson, A. R.; Betti, R.; Howard, J.
  • Physics of Plasmas, Vol. 25, Issue 7
  • DOI: 10.1063/1.5030337

Hot-spot dynamics and deceleration-phase Rayleigh–Taylor instability of imploding inertial confinement fusion capsules
journal, December 2001

  • Betti, R.; Umansky, M.; Lobatchev, V.
  • Physics of Plasmas, Vol. 8, Issue 12
  • DOI: 10.1063/1.1412006

Onset of Hydrodynamic Mix in High-Velocity, Highly Compressed Inertial Confinement Fusion Implosions
journal, August 2013


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


Early stage of implosion in inertial confinement fusion: Shock timing and perturbation evolution
journal, January 2006

  • Goncharov, V. N.; Gotchev, O. V.; Vianello, E.
  • Physics of Plasmas, Vol. 13, Issue 1
  • DOI: 10.1063/1.2162803

Prototypes of National Ignition Facility neutron time-of-flight detectors tested on OMEGA
journal, October 2004

  • Glebov, V. Yu.; Stoeckl, C.; Sangster, T. C.
  • Review of Scientific Instruments, Vol. 75, Issue 10
  • DOI: 10.1063/1.1788875

The National Ignition Facility: enabling fusion ignition for the 21st century
journal, November 2004


Measurement of electron temperature of imploded capsules at the National Ignition Facility
journal, October 2012

  • Izumi, N.; Ma, T.; Barrios, M.
  • Review of Scientific Instruments, Vol. 83, Issue 10
  • DOI: 10.1063/1.4738660

A measurable Lawson criterion and hydro-equivalent curves for inertial confinement fusion
journal, October 2008

  • Zhou, C. D.; Betti, R.
  • Physics of Plasmas, Vol. 15, Issue 10
  • DOI: 10.1063/1.2998604

Inference of the electron temperature in inertial confinement fusion implosions from the hard X-ray spectral continuum
journal, September 2018

  • Kagan, Grigory; Landen, O. L.; Svyatskiy, D.
  • Contributions to Plasma Physics, Vol. 59, Issue 2
  • DOI: 10.1002/ctpp.201800078

Neutron time-of-flight signals from expanding or contracting spherical sources
journal, January 1997

  • Murphy, T. J.; Chrien, R. E.; Klare, K. A.
  • Review of Scientific Instruments, Vol. 68, Issue 1
  • DOI: 10.1063/1.1147666

Imaging of high-energy x-ray emission from cryogenic thermonuclear fuel implosions on the NIF
journal, October 2012

  • Ma, T.; Izumi, N.; Tommasini, R.
  • Review of Scientific Instruments, Vol. 83, Issue 10
  • DOI: 10.1063/1.4733313

The effect of turbulent kinetic energy on inferred ion temperature from neutron spectra
journal, July 2014


Continuous Absorption
journal, March 1930

  • Gaunt, J. A.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 126, Issue 803
  • DOI: 10.1098/rspa.1930.0034

Simultaneous diagnosis of radial profiles and mix in NIF ignition-scale implosions via X-ray spectroscopy
journal, November 2017

  • Ciricosta, O.; Scott, H.; Durey, P.
  • Physics of Plasmas, Vol. 24, Issue 11
  • DOI: 10.1063/1.5000774

Improved formulas for fusion cross-sections and thermal reactivities
journal, April 1992


Effect of laser illumination nonuniformity on the analysis of time-resolved x-ray measurements in uv spherical transport experiments
journal, October 1987


Über die Beugung und Bremsung der Elektronen
journal, January 1931


Indications of flow near maximum compression in layered deuterium-tritium implosions at the National Ignition Facility
journal, August 2016


First-principles equation-of-state table of deuterium for inertial confinement fusion applications
journal, December 2011


First Measurements of Deuterium-Tritium and Deuterium-Deuterium Fusion Reaction Yields in Ignition-Scalable Direct-Drive Implosions
journal, March 2017


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

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


Electron Radiative Transitions in a Coulomb Field.
journal, May 1961

  • Karzas, W. J.; Latter, R.
  • The Astrophysical Journal Supplement Series, Vol. 6
  • DOI: 10.1086/190063

The Gaunt Factor for Free-Free Transitions in Pure Hydrogen.
journal, January 1954

  • Kulsrud, Russell M.
  • The Astrophysical Journal, Vol. 119
  • DOI: 10.1086/145836

Laser fusion ion temperatures determined by neutron time‐of‐flight techniques
journal, November 1977

  • Lerche, R. A.; Coleman, L. W.; Houghton, J. W.
  • Applied Physics Letters, Vol. 31, Issue 10
  • DOI: 10.1063/1.89509

X-ray continuum as a measure of pressure and fuel–shell mix in compressed isobaric hydrogen implosion cores
journal, February 2015

  • Epstein, R.; Goncharov, V. N.; Marshall, F. J.
  • Physics of Plasmas, Vol. 22, Issue 2
  • DOI: 10.1063/1.4907667

Three-dimensional modeling of direct-drive cryogenic implosions on OMEGA
journal, May 2016

  • Igumenshchev, I. V.; Goncharov, V. N.; Marshall, F. J.
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4948418

Reduction of time-averaged irradiation speckle nonuniformity in laser-driven plasmas due to target ablation
journal, September 1997

  • Epstein, R.
  • Journal of Applied Physics, Vol. 82, Issue 5
  • DOI: 10.1063/1.366021

Some Criteria for a Power Producing Thermonuclear Reactor
journal, January 1957