skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An analytic asymmetric-piston model for the impact of mode-1 shell asymmetry on ICF implosions

Abstract

For many years, low mode asymmetry in inertially confined fusion (ICF) implosions has been recognized as a potential performance limiting factor, but analysis has been limited to using simulations and searching for data correlations. In this paper, an analytically solvable model based upon the simple picture of an asymmetric piston is presented. Asymmetry of the shell driving the implosion, as opposed to asymmetry in the hot-spot, is key to the model. The model provides a unifying framework for the action of mode-1 shell asymmetry and the resulting connections between various diagnostic signatures. A key variable in the model is the shell asymmetry fraction, f, which is related to the areal density variation of the shell surrounding the hot-spot. It is shown that f is simply related to the observed hot-spot mode-1 velocity and to the concept of residual energy in an implosion. The model presented in this paper yields explicit expressions for the hot-spot diameter, stagnation pressure, hot-spot energy, inertial confinement-time, Lawson parameter, hot-spot temperature, and fusion yield under the action of mode-1 asymmetry. Agreement is found between the theory scalings when compared to ICF implosion data from the National Ignition Facility and to large ensembles of detailed simulations, makingmore » the theory a useful tool for interpreting data. The theory provides a basis for setting tolerable limits on asymmetry.« less

Authors:
ORCiD logo [1];  [1]; ORCiD logo [1];  [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [1];  [1];  [1];  [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1637584
Alternate Identifier(s):
OSTI ID: 1631495
Report Number(s):
LLNL-JRNL-799257
Journal ID: ISSN 1070-664X; 1002059
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 27; 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; Laser fusion; Nuclear fusion; Plasma confinement

Citation Formats

Hurricane, O. A., Casey, D. T., Landen, O., Kritcher, A. L., Nora, R., Patel, P. K., Gaffney, J. A., Humbird, K. D., Field, J. E. E., Kruse, M. K. G., Peterson, J. L., and Spears, B. K. An analytic asymmetric-piston model for the impact of mode-1 shell asymmetry on ICF implosions. United States: N. p., 2020. Web. https://doi.org/10.1063/5.0001335.
Hurricane, O. A., Casey, D. T., Landen, O., Kritcher, A. L., Nora, R., Patel, P. K., Gaffney, J. A., Humbird, K. D., Field, J. E. E., Kruse, M. K. G., Peterson, J. L., & Spears, B. K. An analytic asymmetric-piston model for the impact of mode-1 shell asymmetry on ICF implosions. United States. https://doi.org/10.1063/5.0001335
Hurricane, O. A., Casey, D. T., Landen, O., Kritcher, A. L., Nora, R., Patel, P. K., Gaffney, J. A., Humbird, K. D., Field, J. E. E., Kruse, M. K. G., Peterson, J. L., and Spears, B. K. Tue . "An analytic asymmetric-piston model for the impact of mode-1 shell asymmetry on ICF implosions". United States. https://doi.org/10.1063/5.0001335. https://www.osti.gov/servlets/purl/1637584.
@article{osti_1637584,
title = {An analytic asymmetric-piston model for the impact of mode-1 shell asymmetry on ICF implosions},
author = {Hurricane, O. A. and Casey, D. T. and Landen, O. and Kritcher, A. L. and Nora, R. and Patel, P. K. and Gaffney, J. A. and Humbird, K. D. and Field, J. E. E. and Kruse, M. K. G. and Peterson, J. L. and Spears, B. K.},
abstractNote = {For many years, low mode asymmetry in inertially confined fusion (ICF) implosions has been recognized as a potential performance limiting factor, but analysis has been limited to using simulations and searching for data correlations. In this paper, an analytically solvable model based upon the simple picture of an asymmetric piston is presented. Asymmetry of the shell driving the implosion, as opposed to asymmetry in the hot-spot, is key to the model. The model provides a unifying framework for the action of mode-1 shell asymmetry and the resulting connections between various diagnostic signatures. A key variable in the model is the shell asymmetry fraction, f, which is related to the areal density variation of the shell surrounding the hot-spot. It is shown that f is simply related to the observed hot-spot mode-1 velocity and to the concept of residual energy in an implosion. The model presented in this paper yields explicit expressions for the hot-spot diameter, stagnation pressure, hot-spot energy, inertial confinement-time, Lawson parameter, hot-spot temperature, and fusion yield under the action of mode-1 asymmetry. Agreement is found between the theory scalings when compared to ICF implosion data from the National Ignition Facility and to large ensembles of detailed simulations, making the theory a useful tool for interpreting data. The theory provides a basis for setting tolerable limits on asymmetry.},
doi = {10.1063/5.0001335},
journal = {Physics of Plasmas},
number = 6,
volume = 27,
place = {United States},
year = {2020},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The high velocity, high adiabat, “Bigfoot” campaign and tests of indirect-drive implosion scaling
journal, May 2018

  • Casey, D. T.; Thomas, C. A.; Baker, K. L.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5019741

Hydrodynamic studies of high gain shock ignition targets: effect of low- to intermediate-mode asymmetries
journal, November 2019

  • Atzeni, Stefano; Schiavi, Angelo; Antonelli, Luca
  • The European Physical Journal D, Vol. 73, Issue 11
  • DOI: 10.1140/epjd/e2019-100317-5

Review of the National Ignition Campaign 2009-2012
journal, February 2014

  • Lindl, John; Landen, Otto; Edwards, John
  • Physics of Plasmas, Vol. 21, Issue 2
  • DOI: 10.1063/1.4865400

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

Approaching a burning plasma on the NIF
journal, May 2019

  • Hurricane, O. A.; Springer, P. T.; Patel, P. K.
  • Physics of Plasmas, Vol. 26, Issue 5
  • DOI: 10.1063/1.5087256

Modeling the 3-D structure of ignition experiments at the NIF
journal, March 2020

  • Nora, R.; Field, J. E.; Spears, B. K.
  • Physics of Plasmas, Vol. 27, Issue 3
  • DOI: 10.1063/1.5142509

Interpreting inertial fusion neutron spectra
journal, February 2016


Neutron spectrometry—An essential tool for diagnosing implosions at the National Ignition Facility (invited)
journal, October 2012

  • Johnson, M. Gatu; Frenje, J. A.; Casey, D. T.
  • Review of Scientific Instruments, Vol. 83, Issue 10
  • DOI: 10.1063/1.4728095

On the importance of minimizing “coast-time” in x-ray driven inertially confined fusion implosions
journal, September 2017

  • Hurricane, O. A.; Kritcher, A.; Callahan, D. A.
  • Physics of Plasmas, Vol. 24, Issue 9
  • DOI: 10.1063/1.4994856

Relativistic calculation of fusion product spectra for thermonuclear plasmas
journal, November 1998


Fusion Energy Output Greater than the Kinetic Energy of an Imploding Shell at the National Ignition Facility
journal, June 2018


Integrated diagnostic analysis of inertial confinement fusion capsule performance
journal, May 2013

  • Cerjan, Charles; Springer, Paul T.; Sepke, Scott M.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4802196

Generalized Measurable Ignition Criterion for Inertial Confinement Fusion
journal, April 2010


Cryogenic thermonuclear fuel implosions on the National Ignition Facility
journal, May 2012

  • Glenzer, S. H.; Callahan, D. A.; MacKinnon, A. J.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.4719686

The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics
journal, October 2017

  • Bose, A.; Betti, R.; Shvarts, D.
  • Physics of Plasmas, Vol. 24, Issue 10
  • DOI: 10.1063/1.4995250

Beyond alpha-heating: driving inertially confined fusion implosions toward a burning-plasma state on the National Ignition Facility
journal, November 2018

  • Hurricane, O. A.; Callahan, D. A.; Springer, P. T.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 1
  • DOI: 10.1088/1361-6587/aaed71

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


Metrics for long wavelength asymmetries in inertial confinement fusion implosions on the National Ignition Facility
journal, April 2014

  • Kritcher, A. L.; Town, R.; Bradley, D.
  • Physics of Plasmas, Vol. 21, Issue 4
  • DOI: 10.1063/1.4871718

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


Making inertial confinement fusion models more predictive
journal, August 2019

  • Gaffney, Jim A.; Brandon, Scott T.; Humbird, Kelli D.
  • Physics of Plasmas, Vol. 26, Issue 8
  • DOI: 10.1063/1.5108667

Hotspot conditions achieved in inertial confinement fusion experiments on the National Ignition Facility
journal, May 2020

  • Patel, P. K.; Springer, P. T.; Weber, C. R.
  • Physics of Plasmas, Vol. 27, Issue 5
  • DOI: 10.1063/5.0003298

Numerical Modeling of the Sensitivity of X-Ray Driven Implosions to Low-Mode Flux Asymmetries
journal, February 2013


Integrated modeling of cryogenic layered highfoot experiments at the NIF
journal, May 2016

  • Kritcher, A. L.; Hinkel, D. E.; Callahan, D. A.
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4949351

Demonstration of High Performance in Layered Deuterium-Tritium Capsule Implosions in Uranium Hohlraums at the National Ignition Facility
journal, July 2015


Mode 1 drive asymmetry in inertial confinement fusion implosions on the National Ignition Facility
journal, April 2014

  • Spears, Brian K.; Edwards, M. J.; Hatchett, S.
  • Physics of Plasmas, Vol. 21, Issue 4
  • DOI: 10.1063/1.4870390

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


Effects of asymmetry and hot-spot shape on ignition capsules
journal, August 2018


A theoretical model for low-mode asymmetries in ICF implosions
journal, February 2019

  • Zhang, Cunbo; Yu, Chengxin; Yang, Chen
  • Physics of Plasmas, Vol. 26, Issue 2
  • DOI: 10.1063/1.5082586

The Rayleigh-Taylor instability in direct-drive laser fusion
journal, October 1987


High-Performance Indirect-Drive Cryogenic Implosions at High Adiabat on the National Ignition Facility
journal, September 2018


Transport Phenomena in a Completely Ionized Gas
journal, March 1953


A “polar contact” tent for reduced perturbation and improved performance of NIF ignition capsules
journal, August 2018

  • Hammel, B. A.; Weber, C. R.; Stadermann, M.
  • Physics of Plasmas, Vol. 25, Issue 8
  • DOI: 10.1063/1.5032121

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

High-Adiabat High-Foot Inertial Confinement Fusion Implosion Experiments on the National Ignition Facility
journal, February 2014


Design of a High-Foot High-Adiabat ICF Capsule for the National Ignition Facility
journal, February 2014


Toward a burning plasma state using diamond ablator inertially confined fusion (ICF) implosions on the National Ignition Facility (NIF)
journal, November 2018

  • Hopkins, L. Berzak; LePape, S.; Divol, L.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 1
  • DOI: 10.1088/1361-6587/aad97e

Integrated thermodynamic model for ignition target performance
journal, January 2013


Effects of residual kinetic energy on yield degradation and ion temperature asymmetries in inertial confinement fusion implosions
journal, May 2018

  • Woo, K. M.; Betti, R.; Shvarts, D.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5026706

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


Thin Shell, High Velocity Inertial Confinement Fusion Implosions on the National Ignition Facility
journal, April 2015


Azimuthal Drive Asymmetry in Inertial Confinement Fusion Implosions on the National Ignition Facility
journal, April 2020