pith. sign in

arxiv: 2605.14129 · v1 · pith:MX6UH2QMnew · submitted 2026-05-13 · ⚛️ physics.plasm-ph

A Hybrid Scheme to Achieve Highest Implosion Performance on the OMEGA Laser

Pith reviewed 2026-05-15 02:07 UTC · model grok-4.3

classification ⚛️ physics.plasm-ph
keywords hybrid shock driveinertial confinement fusionOMEGA laserhydrodynamic instabilitieslaser imprintLawson parameterfusion yield
0
0 comments X

The pith

Hybrid shock-drive targets on OMEGA use an initial x-ray shock from a gold shell to suppress instabilities and project an 85 percent increase in the record Lawson parameter.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper presents the first integrated 2D simulations of hybrid shock drive targets for the OMEGA laser. These designs launch an initial shock with x-rays from a thin gold-coated outer shell and then switch to direct laser illumination to complete the implosion. The approach reduces laser-imprint seeding of hydrodynamic instabilities, preserving shell integrity through high-convergence phases. If the projections hold, the scheme would allow low-adiabat implosions that exceed current performance limits while removing the need for laser beam smoothing.

Core claim

The HSD scheme uses x-rays from a thin Au-coated x-ray converter outer shell to drive the initial shock into a standard direct-drive capsule, after which direct illumination completes the implosion. This sequence suppresses laser-imprint seeding of hydrodynamic instabilities and maintains shell integrity, enabling low-adiabat high-convergence implosions with fusion yields that greatly exceed current designs and a potential 85 percent increase in the record Lawson parameter.

What carries the argument

The hybrid shock drive (HSD) target, consisting of a thin Au-coated outer shell that converts laser energy to x-rays for the first shock followed by direct laser drive for the main implosion.

If this is right

  • Low-adiabat high-convergence implosions become feasible on OMEGA without laser smoothing.
  • Fusion yields are projected to exceed those of current direct-drive designs.
  • The Lawson parameter record on OMEGA could increase by approximately 85 percent.
  • The design serves as a platform for scaling toward high-gain inertial fusion energy targets.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If 3D effects remain small, HSD targets could be fielded on OMEGA within existing facility constraints.
  • The smoothing elimination might reduce complexity in future laser systems designed for repeated shots.
  • Similar hybrid pre-shock approaches could be adapted to test higher-convergence regimes on other facilities.

Load-bearing premise

Two-dimensional simulations fully capture the suppression of instabilities and performance gains without important three-dimensional effects or unmodeled physics appearing in real shots.

What would settle it

An OMEGA experiment on an HSD target that measures a fusion yield or Lawson parameter significantly below the simulated projections would falsify the performance claims.

Figures

Figures reproduced from arXiv: 2605.14129 by A. Lees, D. Cao, D. Patel, K. S. Anderson, L. Ceurvorst, P. S. Farmakis, R. Betti, V. Gopalaswamy.

Figure 1
Figure 1. Figure 1: FIG. 1. Target sketch showing a side-by-side comparison of the standard LDD “bare” target based on the [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Laser pulse shapes for [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Illumination uniformity for a range of radii (300 to 1100 [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Bang-time plots of 2D [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
read the original abstract

Merging direct and indirect-drive has long been viewed as an optimal hybrid laser-fusion scheme that combines the uniformity of x rays with the efficiency of direct illumination. We present the first integrated 2D simulations of hybrid shock drive (HSD) targets for the OMEGA laser. The HSD scheme [L. Ceurvorst et al., Phys. Rev. E 101 063207 (2020)] uses x rays from a thin Au-coated x-ray converter outer shell to drive the initial shock into a standard direct-drive capsule. Direct illumination is used to implode the target after the first shock. The design effectively suppresses laser-imprint seeding of hydrodynamic instabilities, maintaining shell integrity during the implosion. This scheme will enable fielding low-adiabat, high-convergence implosions on OMEGA with expected performance greatly exceeding those of current designs. HSD targets are projected to significantly enhance fusion yields, potentially increasing the record Lawson parameter by $\sim$85\% on OMEGA while effectively eliminating the requirement for laser smoothing. These results position HSD as a robust platform for high-performance implosions, paving the way for advanced high-gain inertial fusion energy targets.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript presents the first integrated 2D simulations of hybrid shock drive (HSD) targets for the OMEGA laser. The scheme uses x-rays from a thin Au-coated outer shell to drive the initial shock into a standard direct-drive capsule, followed by direct laser illumination to complete the implosion. It claims effective suppression of laser-imprint seeding of hydrodynamic instabilities, enabling low-adiabat, high-convergence implosions with projected fusion-yield gains that could increase the record Lawson parameter by ~85% while removing the need for laser smoothing.

Significance. If validated, the hybrid approach would combine x-ray uniformity with direct-drive efficiency to enable higher-performance implosions on OMEGA without dedicated smoothing. The ~85% Lawson-parameter uplift would constitute a notable advance for the facility and a potential stepping stone toward high-gain targets. The significance is currently limited by the absence of 3D modeling or experimental benchmarks.

major comments (2)
  1. [Abstract / Simulation Results] Abstract and Simulation Results: The central quantitative claim of an ~85% Lawson-parameter increase rests entirely on 2D integrated simulations. No 3D calculations or experimental data are referenced to confirm that non-axisymmetric modes (azimuthal laser imprint or residual surface roughness) remain negligible at the stated convergence and low adiabat.
  2. [Abstract] Abstract: The assertion that the scheme 'effectively eliminates the requirement for laser smoothing' is presented without quantitative metrics (e.g., imprint amplitude spectra or growth-factor comparisons) showing the residual imprint level relative to current smoothed direct-drive designs.
minor comments (2)
  1. [Abstract] Abstract: Add a brief statement of the hydrocode employed and the principal numerical parameters (resolution, equation of state, opacity model) used for the performance projections.
  2. [References] References: Expand the discussion of the cited Ceurvorst et al. (2020) work to include direct quantitative comparisons between the present HSD results and the earlier single-shell or pure direct-drive baselines.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their constructive review of our manuscript on hybrid shock drive targets. We address each major comment below and have made revisions to strengthen the presentation of our 2D simulation results while acknowledging the inherent limitations of the current study.

read point-by-point responses
  1. Referee: [Abstract / Simulation Results] Abstract and Simulation Results: The central quantitative claim of an ~85% Lawson-parameter increase rests entirely on 2D integrated simulations. No 3D calculations or experimental data are referenced to confirm that non-axisymmetric modes (azimuthal laser imprint or residual surface roughness) remain negligible at the stated convergence and low adiabat.

    Authors: We agree that the ~85% Lawson-parameter projection is derived from 2D integrated simulations, which represents a genuine limitation of this initial study. The 2D framework captures the dominant radial and polar dynamics of laser-imprint suppression in the hybrid scheme. In the revised manuscript we have added an explicit discussion of 3D effects, noting that azimuthal modes are expected to remain sub-dominant due to the x-ray pre-shock uniformity and the short direct-drive pulse duration; we also outline planned future 3D work. No experimental data exist yet, as this is a design study. We therefore mark this as a partial revision. revision: partial

  2. Referee: [Abstract] Abstract: The assertion that the scheme 'effectively eliminates the requirement for laser smoothing' is presented without quantitative metrics (e.g., imprint amplitude spectra or growth-factor comparisons) showing the residual imprint level relative to current smoothed direct-drive designs.

    Authors: We have revised both the abstract and the main text to include quantitative metrics. New figures and text now present imprint amplitude spectra and linear growth-factor comparisons between the hybrid scheme, unsmoothed direct drive, and current smoothed direct-drive designs. These show that residual imprint seeding is reduced by more than an order of magnitude, supporting the claim that laser smoothing is effectively unnecessary for the HSD targets. revision: yes

standing simulated objections not resolved
  • Absence of 3D calculations and experimental benchmarks to validate non-axisymmetric mode behavior at high convergence.

Circularity Check

0 steps flagged

Projections of ~85% Lawson gain derived from new 2D simulations; self-citation defines scheme but does not force results

full rationale

The paper presents the first integrated 2D simulations of HSD targets and computes performance projections (including the ~85% Lawson parameter uplift) as simulation outputs. The HSD scheme itself is referenced to a 2020 citation with author overlap, but that citation supplies only the target concept; the quantitative gains are independent simulation results rather than reductions to fitted parameters, self-definitions, or ansatzes. No equations or steps in the provided text reduce the central claims to inputs by construction, so the derivation remains self-contained against external simulation benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract provides no explicit details on free parameters, axioms, or invented entities; simulations of laser fusion typically involve many unstated modeling choices.

pith-pipeline@v0.9.0 · 5542 in / 994 out tokens · 38622 ms · 2026-05-15T02:07:49.136617+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

60 extracted references · 60 canonical work pages

  1. [1]

    The “strong” picket (Fig

    and with two-step zooming. The “strong” picket (Fig. 2) requires slightly higher overall laser energy (∼1.5 kJ) for the HSD design. A low-adiabat, bare LDD target version of the hybrid was 8 TABLE I. 1D performance metrics. Paired SSD entries: On; Off. Design Beam spot SSD Yield(×10 14)ρR(mg/cm 2)α Bare SG5-850 On 8.7 215 2.0 HSD SG5-850 On 8.8 203 2.3 HS...

  2. [2]

    Nuckolls, L

    J. Nuckolls, L. Wood, A. Thiessen, and G. Zimmerman, Nature239, 139 (1972). 12

  3. [3]

    R. S. Craxton, K. S. Anderson, T. R. Boehly, V . N. Goncharov, D. R. Harding, J. P. Knauer, R. L. McCrory, P. W. McKenty, D. D. Meyerhofer, J. F. Myatt,et al., Phys. Plasmas22, 110501 (2015)

  4. [4]

    A. B. Zylstra, O. A. Hurricane, D. A. Callahan, A. L. Kritcher, O. L. Landen, J. Lindl, A. Pak, P. Patel, J. E. Ralph, J. S. Ross,et al., Nucl. Fusion61, 116066 (2021)

  5. [5]

    A. L. Kritcher, J. Ralph, D. E. Hinkel, T. Döppner, M. Millot, D. Mariscal, R. Benedetti, D. J. Strozzi, T. Chapman, C. Goyon, B. MacGowan, P. Michel, D. A. Callahan, and O. A. Hurricane, Phys. Rev. E 98, 053206 (2018)

  6. [6]

    J. A. Marozas, M. Hohenberger, M. J. Rosenberg, D. Turnbull, T. J. B. Collins, P. B. Radha, P. W. McKenty, J. D. Zuegel, F. J. Marshall, S. P. Regan,et al., Phys. Plasmas25, 056314 (2018)

  7. [7]

    C. A. Williams, R. Betti, V . Gopalaswamy, J. P. Knauer, C. J. Forrest, A. Lees, R. Ejaz, P. S. Farmakis, D. M. Cao, P. B. Radha,et al., Nature20, 758 (2024)

  8. [8]

    E. M. Campbell, T. C. Sangster, V . N. Goncharov, J. D. Zuegel, S. F. B. Morse, C. Sorce, G. W. Collins, M. S. Wei, R. Betti, S. P. Regan,et al., Philos. Trans. R. Soc. A379, 20200011 (2020)

  9. [9]

    S. E. Bodner, Phys. Rev. Lett.33, 761 (1974)

  10. [10]

    Ishizaki and K

    R. Ishizaki and K. Nishihara, Phys. Rev. Lett.78, 1920 (1997)

  11. [11]

    Ishizaki and K

    R. Ishizaki and K. Nishihara, Phys. Rev. E58, 3744 (1998)

  12. [12]

    Bourgeade and G

    A. Bourgeade and G. Duchateau, Phys. Rev. E85, 056403 (2012)

  13. [13]

    J. L. Bocher, M. Decroisette, P. A. Holstein, M. Louis-Jacquet, B. Meyer, A. Salères, and G. Thiell, Phys. Rev. Lett.52, 823 (1984)

  14. [14]

    M. H. Emery, J. H. Gardner, R. H. Lehmberg, and S. P. Obenschain, Phys. of Fluids B3, 2640 (1991)

  15. [15]

    Eliezer, J

    S. Eliezer, J. J. Honrubia, and G. Velarde, Phys. Lett. A.166, 249 (1992)

  16. [16]

    Afshar-rad, M

    T. Afshar-rad, M. Desselberger, M. Dunne, J. Edwards, J. M. Foster, D. Hoarty, M. W. Jones, S. J. Rose, P. A. Rosen, R. Taylor, and O. Willi, Phys. Rev. Lett.73, 74 (1994)

  17. [17]

    Desselberger, M

    M. Desselberger, M. W. Jones, J. Edwards, M. Dunne, and O. Willi, Phys. Rev. Lett.74, 2961 (1995)

  18. [18]

    Dunne, M

    M. Dunne, M. Borghesi, A. Iwase, M. W. Jones, R. Taylor, O. Willi, R. Gibson, S. R. Goldman, J. Mack, and R. G. Watt, Phys. Rev. Lett.75, 3858 (1995)

  19. [19]

    P. S. Farmakis, L. Ceurvorst, R. Betti, C. Thomas, V . Gopalaswamy, A. Lees, and D. Cao, inAPS Division of Plasma Physics Meeting Abstracts, V ol. 68 (2023) pp. NO07–009

  20. [20]

    L. A. Ceurvorst, R. Betti, A. Casner, V . Gopalaswamy, A. Bose, S. X. Hu, E. M. Campbell, S. P. Regan, C. A. McCoy, M. Karasik,et al., Phys. Rev. E101, 063207 (2020)

  21. [21]

    C. A. Thomas, M. Tabak, N. B. Alexander, C. D. Galloway, E. M. Campbell, M. P. Farrell, J. L. Kline, 13 D. S. Montgomery, M. J. Schmitt, A. R. Christopherson,et al., Phys. Plasmas31, 112708 (2024)

  22. [22]

    Karasik, J

    M. Karasik, J. L. Weaver, Y . Aglitskiy, J. Oh, and S. P. Obenschain, Phys. Rev. Lett.114, 085001 (2015)

  23. [23]

    Karasik, J

    M. Karasik, J. Oh, S. P. Obenschain, A. J. Schmitt, Y . Aglitskiy, and C. Stoeckl, Phys. Plasmas28, 032710 (2021)

  24. [24]

    S. P. Obenschain, D. G. Colombant, M. Karasik, C. J. Pawley, V . Serlin, A. J. Schmitt, J. L. Weaver, J. H. Gardner, L. Phillips, Y . Aglitskiy,et al., Physics of Plasmas9, 2234 (2002)

  25. [25]

    A. N. Mostovych, D. G. Colombant, M. Karasik, J. P. Knauer, A. J. Schmitt, and J. L. Weaver, Phys. Rev. Lett.100, 075002 (2008)

  26. [26]

    J. A. Blink, W. J. Hogam, J. Hovingh, E. R. Meier, and J. H. Pitts,High-Yield Lithium-Injection Fusion-Energy (HYLIFE) Reactor, Tech. Rep. (Lawrence Livermore National Lab., CA, 1985)

  27. [27]

    R. Moir, R. Bieri, X. Chen, T. Dolan, M. Hoffman, P. House, R. Leber, J. Lee, Y . Lee, J. Liu,et al., Fusion technology25, 5 (1994)

  28. [28]

    J. D. Sethian, D. G. Colombant, J. L. Giuliani, R. H. Lehmberg, M. C. Myers, S. P. Obenschain, A. J. Schmitt, J. Weaver, M. F. Wolford, F. Hegeler,et al., IEEE Transactions on Plasma Science38, 690 (2010)

  29. [29]

    Delettrez and E

    J. Delettrez and E. B. Goldman,Laboratory for Laser Energetics, University of Rochester , Rochester , NY, LLE Report No. 36, Tech. Rep. (LLE, 1976)

  30. [30]

    P. B. Radha, T. J. B. Collins, J. A. Delettrez, Y . Elbaz, R. Epstein, V . Y . Glebov, V . N. Goncharov, R. L. Keck, J. P. Knauer, J. A. Marozas,et al., Phys. Plasmas12, 056307 (2005)

  31. [31]

    J. A. Marozas, F. J. Marshall, R. S. Craxton, I. V . Igumenshchev, S. Skupsky, M. J. Bonino, T. J. B. Collins, R. Epstein, V . Y . Glebov, D. Jacobs-Perkins,et al., Phys. Plasmas13, 056311 (2006)

  32. [32]

    W. Seka, D. H. Edgell, J. F. Myatt, A. V . Maximov, R. W. Short, V . N. Goncharov, and H. A. Baldis, Phys. Plasmas16, 052701 (2009)

  33. [33]

    A. A. Solodov, M. J. Rosenberg, M. Stoeckl, A. R. Christopherson, R. Betti, P. B. Radha, C. Stoeckl, M. Hohenberger, B. Bachmann, R. Epstein,et al., Phys. Rev. E106, 055204 (2022)

  34. [34]

    R. K. Follett, J. A. Delettrez, D. H. Edgell, V . N. Goncharov, R. J. Henchen, J. Katz, D. T. Michel, J. F. Myatt, J. Shaw, A. A. Solodov, C. Stoeckl, B. Yaakobi, and D. H. Froula, Phys. Rev. Lett.116, 155002 (2016)

  35. [35]

    Gopalaswamy, C

    V . Gopalaswamy, C. Stoeckl, R. Betti, J. Knauer, A. Lees, D. Patel, C. Williams, R. Ejaz, P. Farmakis, D. Cao,et al., inAPS Division of Plasma Physics Meeting Abstracts, V ol. 67 (2022) pp. CO04–006. 14

  36. [36]

    R. Nora, R. Betti, K. S. Anderson, A. Shvydky, A. Bose, K. M. Woo, A. R. Christopherson, J. A. Marozas, T. J. B. Collins, P. B. Radha, S. X. Hu, R. Epstein, F. J. Marshall, R. L. McCrory, T. C. Sangster, and D. D. Meyerhofer, Phys. Plasmas21, 056316 (2014)

  37. [37]

    A. Lees, R. Betti, J. P. Knauer, V . Gopalaswamy, D. Patel, K. M. Woo, K. S. Anderson, E. M. Camp- bell, D. Cao, J. Carroll-Nellenback,et al., Phys. Rev. Lett.127, 105001 (2021)

  38. [38]

    Gopalaswamy, C

    V . Gopalaswamy, C. A. Williams, R. Betti, D. Patel, J. P. Knauer, A. Lees, D. Cao, E. M. Campbell, P. Farmakis, R. Ejaz,et al., Nat. Phys.20(2024)

  39. [39]

    Ceurvorst, R

    L. Ceurvorst, R. Betti, V . Gopalaswamy, A. Lees, J. P. Knauer, M. J. Rosenberg, D. Patel, R. Ejaz, C. A. Williams, K. M. Woo,et al., Phys. Plasmas32, 032711 (2025)

  40. [40]

    A. Lees, R. Betti, V . Gopalaswamy, J. P. Knauer, L. A. Ceurvorst, D. Patel, R. Ejaz, K. S. Anderson, K. A. Bauer, M. J. Bonino,et al., Physics of Plasmas32, 072707 (2025)

  41. [41]

    S. E. Bodner, J. Fusion Energy1, 221 (1981)

  42. [42]

    J. H. Gardner and S. E. Bodner, Phys. Rev. Lett.47, 1137 (1981)

  43. [43]

    Betti, V

    R. Betti, V . N. Goncharov, R. L. McCrory, and C. P. Verdon, Phys. Plasmas5, 1446 (1998)

  44. [44]

    V . N. Goncharov, S. Skupsky, T. R. Boehly, J. P. Knauer, P. McKenty, V . A. Smalyuk, R. P. J. Town, O. V . Gotchev, R. Betti, and D. D. Meyerhofer, Phys. Plasmas7, 2062 (2000)

  45. [45]

    V . N. Goncharov, T. C. Sangster, R. Betti, T. R. Boehly, M. J. Bonino, T. J. B. Collins, R. S. Craxton, J. A. Delettrez, D. H. Edgell, R. Epstein,et al., Physics of Plasmas21, 056315 (2014)

  46. [46]

    V . N. Goncharov, T. C. Sangster, P. B. Radha, R. Betti, J. A. Delettrez, R. Epstein, D. R. Harding, S. X. Hu, I. V . Igumenshchev, F. J. Marshall,et al., inJournal of Physics: Conference Series, V ol. 112 (2008) p. 022002

  47. [47]

    Skupsky and K

    S. Skupsky and K. Lee, J. Appl. Phys.54, 3662 (1983)

  48. [48]

    Murakami and K

    M. Murakami and K. Nishihara, Jpn. J. Appl. Phys.25, 242 (1986)

  49. [49]

    Caruso and C

    A. Caruso and C. Strangio, Jpn. J. Appl. Phys.30, 1095 (1991)

  50. [50]

    S. M. Pollaine, Nucl. Fusion40, 2061 (2000)

  51. [51]

    J. M. Soures, R. L. McCrory, C. P. Verdon, A. Babushkin, R. E. Bahr, T. R. Boehly, R. Boni, D. K. Bradley, D. L. Brown, R. S. Craxton,et al., Phys. Plasmas3, 2108 (1996)

  52. [52]

    Atzeni and J

    S. Atzeni and J. Meyer-ter Vehn,The physics of inertial fusion: beam plasma interaction, hydrody- namics, hot dense matter, V ol. 125 (OUP Oxford, 2004)

  53. [53]

    Shvydky, W

    A. Shvydky, W. Trickey, A. V . Maximov, I. V . Igumenshchev, P. W. McKenty, and V . N. Goncharov, Nucl. Fusion63, 014004 (2022). 15

  54. [54]

    T. Z. Kosc, J. H. Kelly, E. M. Hill, C. Dorrer, L. J. Waxer, and W. R. Donaldson (SPIE, 2015) p. 93450H

  55. [55]

    D. H. Froula, T. J. Kessler, I. V . Igumenshchev, R. Betti, V . N. Goncharov, H. Huang, S. X. Hu, E. Hill, J. H. Kelly, D. D. Meyerhofer,et al., Phys. Plasmas20, 082704 (2013)

  56. [56]

    S. X. Hu, L. Ceurvorst, J. L. Peebles, A. Mao, P. Li, Y . Lu, A. Shvydky, V . N. Goncharov, R. Epstein, K. A. Nichols,et al., Phys. Rev. E108, 035209 (2023)

  57. [57]

    D. M. Cao, R. C. Shah, C. A. Thomas, V . Gopalaswamy, A. Lees, D. P. Patel, R. Betti, A. Shvydky, K. S. Anderson, J. A. Marozas,et al., inAPS Division of Plasma Physics Meeting Abstracts, V ol. 70 (2025) pp. PO08–006

  58. [58]

    Betti, A

    R. Betti, A. R. Christopherson, B. K. Spears, R. Nora, A. Bose, J. Howard, K. M. Woo, M. J. Edwards, and J. Sanz, Phys. Rev. Lett.114, 255003 (2015)

  59. [59]

    A. Bose, K. M. Woo, R. Betti, E. M. Campbell, D. Mangino, A. R. Christopherson, R. L. McCrory, R. Nora, S. P. Regan, V . N. Goncharov,et al., Phys. Rev. E94, 011201(R) (2016)

  60. [60]

    S. P. Regan,LLE Review Quarterly Report No. 78, Laboratory for Laser Energetics, University of Rochester , Rochester , NY, NTIS Order No. DOE/SF/19460-295, Tech. Rep. (LLE, 1999). 16