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

Title: A wave-based model for cross-beam energy transfer in direct-drive inertial confinement fusion

Abstract

Cross-beam energy transfer (CBET) is thought to be responsible for a 30% reduction in hydrodynamic coupling efficiency on OMEGA and up to 50% at the ignition scale for direct-drive (DD) implosions. These numbers are determined by ray-based models that have been developed and integrated within the radiation–hydrodynamics codes LILAC (1-D) and DRACO (2-D). However, ray-based modeling of CBET in an inhomogeneous plasma assumes a steady-state plasma response, does not include the effects of beam speckle, and treats ray caustics in an ad hoc manner. The validity of the modeling for ignition-scale implosions has not yet been determined. To address the physics shortcomings, which have important implications for DD inertial confinement fusion, a new wave-based model has been developed. It solves the time-enveloped Maxwell equations in three dimensions, including polarization effects, plasma inhomogeneity, and open-boundary conditions with the ability to prescribe beams incident at arbitrary angles. Beams can be made realistic with respect to laser speckle, polarization smoothing, and laser bandwidth. This, coupled to a linearized low-frequency plasma response that does not assume a steady state, represents the most-complete model of CBET to date.

Authors:
 [1];  [2]; ORCiD logo [2];  [2]; ORCiD logo [3];  [2];  [1]
  1. Univ. of Rochester, NY (United States). Lab. for Laser Energetics, and Dept. of Mechanical Engineering
  2. Univ. of Rochester, NY (United States). Lab. for Laser Energetics
  3. Univ. of Rochester, NY (United States). Lab. for Laser Energetics, and Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Org.:
USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1465762
Alternate Identifier(s):
OSTI ID: 1361848
Grant/Contract Number:  
NA0001944; AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 5; 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

Myatt, J. F., Follett, R. K., Shaw, J. G., Edgell, D. H., Froula, D. H., Igumenshchev, I. V., and Goncharov, V. N. A wave-based model for cross-beam energy transfer in direct-drive inertial confinement fusion. United States: N. p., 2017. Web. doi:10.1063/1.4982059.
Myatt, J. F., Follett, R. K., Shaw, J. G., Edgell, D. H., Froula, D. H., Igumenshchev, I. V., & Goncharov, V. N. A wave-based model for cross-beam energy transfer in direct-drive inertial confinement fusion. United States. https://doi.org/10.1063/1.4982059
Myatt, J. F., Follett, R. K., Shaw, J. G., Edgell, D. H., Froula, D. H., Igumenshchev, I. V., and Goncharov, V. N. Mon . "A wave-based model for cross-beam energy transfer in direct-drive inertial confinement fusion". United States. https://doi.org/10.1063/1.4982059. https://www.osti.gov/servlets/purl/1465762.
@article{osti_1465762,
title = {A wave-based model for cross-beam energy transfer in direct-drive inertial confinement fusion},
author = {Myatt, J. F. and Follett, R. K. and Shaw, J. G. and Edgell, D. H. and Froula, D. H. and Igumenshchev, I. V. and Goncharov, V. N.},
abstractNote = {Cross-beam energy transfer (CBET) is thought to be responsible for a 30% reduction in hydrodynamic coupling efficiency on OMEGA and up to 50% at the ignition scale for direct-drive (DD) implosions. These numbers are determined by ray-based models that have been developed and integrated within the radiation–hydrodynamics codes LILAC (1-D) and DRACO (2-D). However, ray-based modeling of CBET in an inhomogeneous plasma assumes a steady-state plasma response, does not include the effects of beam speckle, and treats ray caustics in an ad hoc manner. The validity of the modeling for ignition-scale implosions has not yet been determined. To address the physics shortcomings, which have important implications for DD inertial confinement fusion, a new wave-based model has been developed. It solves the time-enveloped Maxwell equations in three dimensions, including polarization effects, plasma inhomogeneity, and open-boundary conditions with the ability to prescribe beams incident at arbitrary angles. Beams can be made realistic with respect to laser speckle, polarization smoothing, and laser bandwidth. This, coupled to a linearized low-frequency plasma response that does not assume a steady state, represents the most-complete model of CBET to date.},
doi = {10.1063/1.4982059},
journal = {Physics of Plasmas},
number = 5,
volume = 24,
place = {United States},
year = {Mon Apr 24 00:00:00 EDT 2017},
month = {Mon Apr 24 00:00:00 EDT 2017}
}

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

Citation Metrics:
Cited by: 33 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Harmonic decomposition to describe the nonlinear evolution of stimulated Brillouin scattering
journal, February 2006

  • Hüller, S.; Masson-Laborde, P. E.; Pesme, D.
  • Physics of Plasmas, Vol. 13, Issue 2
  • DOI: 10.1063/1.2168403

Theory and simulation of stimulated Brillouin scatter excited by nonabsorbed light in laser fusion systems
journal, January 1981


Selected topics in the theory and practice of computational fluid dynamics
journal, September 1987


Extension of "Four-Dimensional Eikonal Theory of Linear Mode Conversion" to Parametrically Unstable Media
journal, December 1987


On the stability of the FDTD method for solving a time-dependent Schrödinger equation
journal, January 2005

  • Dai, Weizhong; Li, Guang; Nassar, Raja
  • Numerical Methods for Partial Differential Equations, Vol. 21, Issue 6
  • DOI: 10.1002/num.20082

Coherence properties of a smoothed laser beam in a hot plasma
journal, October 2000

  • Riazuelo, Gilles; Bonnaud, Guy
  • Physics of Plasmas, Vol. 7, Issue 10
  • DOI: 10.1063/1.1290447

Filamentation and forward Brillouin scatter of entire smoothed and aberrated laser beams
journal, May 2000

  • Still, C. H.; Berger, R. L.; Langdon, A. B.
  • Physics of Plasmas, Vol. 7, Issue 5
  • DOI: 10.1063/1.874055

Distributed phase plates for super-Gaussian focal-plane irradiance profiles
journal, January 1995

  • Lin, Y.; Lawrence, G. N.; Kessler, T. J.
  • Optics Letters, Vol. 20, Issue 7
  • DOI: 10.1364/OL.20.000764

Laser beam deflection by flow and nonlinear self‐focusing
journal, May 1996


Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices
journal, June 2004

  • Soriano, Antonio; Navarro, Enrique A.; Portı́, Jorge A.
  • Journal of Applied Physics, Vol. 95, Issue 12
  • DOI: 10.1063/1.1753661

Enhanced Specular Reflection from a Laser-Produced Plasma Corona
journal, August 1981


Crossed-beam energy transfer in direct-drive implosions
journal, May 2012

  • Igumenshchev, I. V.; Seka, W.; Edgell, D. H.
  • Physics of Plasmas, Vol. 19, Issue 5, Article No. 056314
  • DOI: 10.1063/1.4718594

Irradiation uniformity for high-compression laser-fusion experiments
journal, May 1999

  • Skupsky, S.; Craxton, R. S.
  • Physics of Plasmas, Vol. 6, Issue 5
  • DOI: 10.1063/1.873501

Improving the hot-spot pressure and demonstrating ignition hydrodynamic equivalence in cryogenic deuterium–tritium implosions on OMEGA
journal, May 2014

  • Goncharov, V. N.; Sangster, T. C.; Betti, R.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876618

Symmetry tuning via controlled crossed-beam energy transfer on the National Ignition Facility
journal, May 2010

  • Michel, P.; Glenzer, S. H.; Divol, L.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3325733

Chaotic Nonlinear Stimulated Brillouin Scattering
journal, May 1984


Reduction of laser imprinting using polarization smoothing on a solid-state fusion laser
journal, April 1999

  • Boehly, T. R.; Smalyuk, V. A.; Meyerhofer, D. D.
  • Journal of Applied Physics, Vol. 85, Issue 7
  • DOI: 10.1063/1.369702

Improved laser‐beam uniformity using the angular dispersion of frequency‐modulated light
journal, October 1989

  • Skupsky, S.; Short, R. W.; Kessler, T.
  • Journal of Applied Physics, Vol. 66, Issue 8
  • DOI: 10.1063/1.344101

Semiclassical approximations in wave mechanics
journal, January 1972


Three-wave parametric amplification in time-dependent media, with application to stimulated Brillouin scattering
journal, October 1991


Interaction of crossed laser beams with plasmas
journal, June 1996

  • Eliseev, V. V.; Rozmus, W.; Tikhonchuk, V. T.
  • Physics of Plasmas, Vol. 3, Issue 6
  • DOI: 10.1063/1.871703

Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams
journal, January 1988

  • Feit, M. D.; Fleck, J. A.
  • Journal of the Optical Society of America B, Vol. 5, Issue 3
  • DOI: 10.1364/JOSAB.5.000633

Modeling stimulated Brillouin scattering in the underdense corona of a direct drive inertial confinement fusion target
journal, July 2004

  • Myatt, J.; Maximov, A. V.; Seka, W.
  • Physics of Plasmas, Vol. 11, Issue 7
  • DOI: 10.1063/1.1755708

Tuning the Implosion Symmetry of ICF Targets via Controlled Crossed-Beam Energy Transfer
journal, January 2009


Doppler shift of laser light reflected from expanding plasmas
journal, January 1981


Two‐dimensional analysis of the power transfer between crossed laser beams
journal, July 1996

  • McKinstrie, C. J.; Li, J. S.; Giacone, R. E.
  • Physics of Plasmas, Vol. 3, Issue 7
  • DOI: 10.1063/1.871721

Energy transfer between crossing laser beams
journal, January 1996

  • Kruer, William L.; Wilks, Scott C.; Afeyan, Bedros B.
  • Physics of Plasmas, Vol. 3, Issue 1
  • DOI: 10.1063/1.871863

On Implementing a Numeric Huygen's Source Scheme in a Finite Difference Program to Illuminate Scattering Bodies
journal, January 1980

  • Merewether, D. E.; Fisher, R.; Smith, F. W.
  • IEEE Transactions on Nuclear Science, Vol. 27, Issue 6
  • DOI: 10.1109/TNS.1980.4331114

Direct-drive inertial confinement fusion: A review
journal, November 2015

  • Craxton, R. S.; Anderson, K. S.; Boehly, T. R.
  • Physics of Plasmas, Vol. 22, Issue 11
  • DOI: 10.1063/1.4934714

On the dominant and subdominant behavior of stimulated Raman and Brillouin scattering driven by nonuniform laser beams
journal, December 1998

  • Berger, R. L.; Still, C. H.; Williams, E. A.
  • Physics of Plasmas, Vol. 5, Issue 12
  • DOI: 10.1063/1.873171

Simulating time-dependent energy transfer between crossed laser beams in an expanding plasma
journal, November 2005

  • Hittinger, J. A. F.; Dorr, M. R.; Berger, R. L.
  • Journal of Computational Physics, Vol. 209, Issue 2
  • DOI: 10.1016/j.jcp.2005.03.024

Resonant stimulated Brillouin interaction of opposed laser beams in a drifting plasma
journal, September 1998

  • Cohen, B. I.; Lasinski, B. F.; Langdon, A. B.
  • Physics of Plasmas, Vol. 5, Issue 9
  • DOI: 10.1063/1.873055

Congruent reduction in parametrically unstable space‐ and time‐varying plasmas
journal, August 1989

  • Goldner, G.; Friedland, L.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 8
  • DOI: 10.1063/1.858938

Comparison of geometric and wave optics in an absorbing spherical plasma
journal, February 1980


Crossed-beam energy transfer in implosion experiments on OMEGA
journal, December 2010

  • Igumenshchev, I. V.; Edgell, D. H.; Goncharov, V. N.
  • Physics of Plasmas, Vol. 17, Issue 12
  • DOI: 10.1063/1.3532817

A fast explicit algorithm for the time-dependent Schrödinger equation
journal, January 1991


Effects of ion trapping on crossed-laser-beam stimulated Brillouin scattering
journal, January 2004

  • Williams, E. A.; Cohen, B. I.; Divol, L.
  • Physics of Plasmas, Vol. 11, Issue 1
  • DOI: 10.1063/1.1630573

Nonlinear theory of power transfer between multiple crossed laser beams in a flowing plasma
journal, May 1998

  • Rose, Harvey A.; Ghosal, Sandip
  • Physics of Plasmas, Vol. 5, Issue 5
  • DOI: 10.1063/1.872804

Works referencing / citing this record:

Simulations and measurements of hot-electron generation driven by the multibeam two-plasmon-decay instability
journal, October 2017

  • Follett, R. K.; Myatt, J. F.; Shaw, J. G.
  • Physics of Plasmas, Vol. 24, Issue 10
  • DOI: 10.1063/1.4998934

Cross-beam energy transfer: On the accuracy of linear stationary models in the linear kinetic regime
journal, May 2018

  • Debayle, A.; Masson-Laborde, P. -E.; Ruyer, C.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5026187

Resonance absorption of a broadband laser pulse
journal, December 2018

  • Palastro, J. P.; Shaw, J. G.; Follett, R. K.
  • Physics of Plasmas, Vol. 25, Issue 12
  • DOI: 10.1063/1.5063589

Real and complex valued geometrical optics inverse ray-tracing for inline field calculations
journal, March 2019

  • Colaïtis, A.; Palastro, J. P.; Follett, R. K.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5082951

Modeling of direct-drive cylindrical implosion experiments with an Eulerian radiation-hydrodynamics code
journal, April 2019

  • Sauppe, J. P.; Haines, B. M.; Palaniyappan, S.
  • Physics of Plasmas, Vol. 26, Issue 4
  • DOI: 10.1063/1.5083851

Studies of laser-plasma interaction physics with low-density targets for direct-drive inertial confinement schemes
journal, July 2019

  • Tikhonchuk, V.; Gu, Y. J.; Klimo, O.
  • Matter and Radiation at Extremes, Vol. 4, Issue 4
  • DOI: 10.1063/1.5090965

Thresholds of absolute instabilities driven by a broadband laser
journal, June 2019

  • Follett, R. K.; Shaw, J. G.; Myatt, J. F.
  • Physics of Plasmas, Vol. 26, Issue 6
  • DOI: 10.1063/1.5098479

Comprehensive Zakharov-type model for parametric instabilities in the corona of direct-drive targets
journal, July 2019

  • Sary, G.; Gremillet, L.; Canaud, B.
  • Physics of Plasmas, Vol. 26, Issue 7
  • DOI: 10.1063/1.5100258

Adaptive inverse ray-tracing for accurate and efficient modeling of cross beam energy transfer in hydrodynamics simulations
journal, July 2019

  • Colaïtis, A.; Follett, R. K.; Palastro, J. P.
  • Physics of Plasmas, Vol. 26, Issue 7
  • DOI: 10.1063/1.5108777

Single shot high bandwidth laser plasma probe
journal, November 2019

  • Ludwig, J. D.; Michel, P.; Chapman, T.
  • Physics of Plasmas, Vol. 26, Issue 11
  • DOI: 10.1063/1.5124401

Crossed beam energy transfer in the presence of laser speckle ponderomotive self-focusing and nonlinear sound waves
journal, February 2020

  • Hüller, S.; Raj, G.; Rozmus, W.
  • Physics of Plasmas, Vol. 27, Issue 2
  • DOI: 10.1063/1.5125759

Measuring implosion velocities in experiments and simulations of laser-driven cylindrical implosions on the OMEGA laser
journal, April 2018

  • Hansen, E. C.; Barnak, D. H.; Betti, R.
  • Plasma Physics and Controlled Fusion, Vol. 60, Issue 5
  • DOI: 10.1088/1361-6587/aab73f

The National Direct-Drive Inertial Confinement Fusion Program
journal, December 2018