Analysis of trends in experimental observables: Reconstruction of the implosion dynamics and implications for fusion yield extrapolation for direct-drive cryogenic targets on OMEGA

This paper describes a technique for identifying trends in performance degradation for inertial confinement fusion implosion experiments. It is based on reconstruction of the implosion core with a combination of low- and mid-mode asymmetries. This technique was applied to an ensemble of hydro-equivalent deuterium–tritium implosions on OMEGA which achieved inferred hot-spot pressures ≈56 ± 7 Gbar [Regan et al., Phys. Rev. Lett. 117, 025001 (2016)]. All the experimental observables pertaining to the core could be reconstructed simultaneously with the same combination of low and mid-modes. This suggests that in addition to low modes, which can cause a degradation of the stagnation pressure, mid-modes are present which reduce the size of the neutron and x-ray producing volume. The systematic analysis shows that asymmetries can cause an overestimation of the total areal density in these implosions. It is also found that an improvement in implosion symmetry resulting from correction of either the systematic mid or low modes would result in an increase in the hot-spot pressure from 56 Gbar to ≈ 80 Gbar and could produce a burning plasma when the implosion core is extrapolated to an equivalent 1.9 MJ symmetric direct illumination [Bose et al., Phys. Rev. E 94, 011201(R) (2016)].This paper describes a technique for identifying trends in performance degradation for inertial confinement fusion implosion experiments. It is based on reconstruction of the implosion core with a combination of low- and mid-mode asymmetries. This technique was applied to an ensemble of hydro-equivalent deuterium–tritium implosions on OMEGA which achieved inferred hot-spot pressures ≈56 ± 7 Gbar [Regan et al., Phys. Rev. Lett. 117, 025001 (2016)]. All the experimental observables pertaining to the core could be reconstructed simultaneously with the same combination of low and mid-modes. This suggests that in addition to low modes, which can cause a degradation of the stagnation pressure, mid-modes are present which reduce the size of the neutron and x-ray producing volume. The systematic analysis shows that asymmetries can cause an overestimation of the total areal density in these implosions. It is also found that an improvement in implosion symmetry resulting from correction of either the systematic mid...

[1]  P. B. Radha,et al.  Neutron yield study of direct-drive, low-adiabat cryogenic D2 implosions on OMEGA laser system , 2009 .

[2]  D. T. Michel,et al.  Systematic Fuel Cavity Asymmetries in Directly Driven Inertial Confinement Fusion Implosions. , 2017, Physical review letters.

[3]  C. Forrest,et al.  Three-dimensional modeling of the neutron spectrum to infer plasma conditions in cryogenic inertial confinement fusion implosions , 2018 .

[4]  Denis G. Colombant,et al.  Direct-drive laser fusion: status and prospects , 1998 .

[5]  Paul T. Springer,et al.  Integrated diagnostic analysis of inertial confinement fusion capsule performancea) , 2013 .

[6]  I. E. Golovkin,et al.  SPECT3D - A Multi-Dimensional Collisional-Radiative Code for Generating Diagnostic Signatures Based on Hydrodynamics and PIC Simulation Output , 2007 .

[7]  J. A. Marozas,et al.  Theory of hydro-equivalent ignition for inertial fusion and its applications to OMEGA and the National Ignition Facilitya) , 2014 .

[8]  J. A. Marozas,et al.  Improving the hot-spot pressure and demonstrating ignition hydrodynamic equivalence in cryogenic deuterium–tritium implosions on OMEGAa) , 2014 .

[9]  R. Betti,et al.  The Physics of Long- and Intermediate-Wavelength Asymmetries of the Hot Spot , 2017 .

[10]  Brian Spears,et al.  A comprehensive alpha-heating model for inertial confinement fusion , 2018 .

[11]  J. A. Frenje,et al.  First measurements of the absolute neutron spectrum using the magnetic recoil spectrometer at OMEGA (invited). , 2008, The Review of scientific instruments.

[12]  J. Lindl Development of the indirect‐drive approach to inertial confinement fusion and the target physics basis for ignition and gain , 1995 .

[13]  F. J. Marshall,et al.  A framed monochromatic x-ray microscope for ICF (invited) , 1997 .

[14]  D. T. Michel,et al.  Three-Dimensional Hydrodynamic Simulations of OMEGA Implosions , 2016 .

[15]  Thomas J. Murphy,et al.  The effect of turbulent kinetic energy on inferred ion temperature from neutron spectra , 2014 .

[16]  V. Goncharov,et al.  Performance of Direct-Drive Cryogenic Targets on OMEGA , 2007 .

[17]  S. Skupsky,et al.  Deceleration phase of inertial confinement fusion implosions , 2002 .

[18]  Hydrodynamic scaling of the deceleration-phase Rayleigh–Taylor instability , 2013 .

[19]  S. Skupsky,et al.  Three-dimensional modeling of direct-drive cryogenic implosions on OMEGA , 2016 .

[20]  R. Betti,et al.  Alpha Heating and Burning Plasmas in Inertial Confinement Fusion , 2015, Physical review letters.

[21]  John Kelly,et al.  Crossed-beam energy transfer in direct-drive implosions , 2011 .

[22]  V N Goncharov,et al.  Demonstration of Fuel Hot-Spot Pressure in Excess of 50 Gbar for Direct-Drive, Layered Deuterium-Tritium Implosions on OMEGA. , 2016, Physical review letters.

[23]  O. Landen,et al.  Fusion neutrons from the gas–pusher interface in deuterated-shell inertial confinement fusion implosions , 1998 .

[24]  J. Kilkenny,et al.  Mode 1 drive asymmetry in inertial confinement fusion implosions on the National Ignition Facility , 2014 .

[25]  J. Myatt,et al.  Mitigation of cross-beam energy transfer in symmetric implosions on OMEGA using wavelength detuning , 2017 .

[26]  D. A. Callahan,et al.  Fuel gain exceeding unity in an inertially confined fusion implosion , 2014, Nature.

[27]  T. C. Sangster,et al.  Neutron temporal diagnostic for high-yield deuterium-tritium cryogenic implosions on OMEGA. , 2016, The Review of scientific instruments.

[28]  Riccardo Betti,et al.  Hydrodynamic relations for direct-drive fast-ignition and conventional inertial confinement fusion implosions , 2007 .

[29]  Marilyn Schneider,et al.  The high-foot implosion campaign on the National Ignition Facilitya) , 2014 .

[30]  Epstein,et al.  Effect of laser illumination nonuniformity on the analysis of time-resolved x-ray measurements in uv spherical transport experiments. , 1987, Physical review. A, General physics.

[31]  J. Nuckolls,et al.  Laser Compression of Matter to Super-High Densities: Thermonuclear (CTR) Applications , 1972, Nature.

[32]  V N Goncharov,et al.  Core conditions for alpha heating attained in direct-drive inertial confinement fusion. , 2016, Physical review. E.

[33]  Gilbert W. Collins,et al.  Applications and results of X-ray spectroscopy in implosion experiments on the National Ignition Facility , 2017 .

[34]  H. Bosch,et al.  ERRATUM: Improved formulas for fusion cross-sections and thermal reactivities , 1992 .

[35]  Jonathan D. Zuegel,et al.  Secondary-neutron-yield measurements by current-mode detectors , 2001 .

[36]  J. P. Chittenden,et al.  The production spectrum in fusion plasmas , 2011 .

[37]  P. B. Radha,et al.  Direct-drive inertial confinement fusion: A review , 2015 .

[38]  V. Goncharov,et al.  A framed, 16-image Kirkpatrick-Baez x-ray microscope. , 2017, The Review of scientific instruments.

[39]  H. Brysk,et al.  Fusion neutron energies and spectra , 1973 .

[40]  Po-Yu Chang,et al.  Effects of residual kinetic energy on yield degradation and ion temperature asymmetries in inertial confinement fusion implosions , 2018 .

[41]  P. B. Radha,et al.  Monochromatic backlighting of direct-drive cryogenic DT implosions on OMEGA , 2017 .

[42]  T. C. Sangster,et al.  A new neutron time-of-flight detector for fuel-areal-density measurements on OMEGA. , 2013, The Review of scientific instruments.

[43]  R. Betti,et al.  Inertial-confinement fusion with lasers , 2016, Nature Physics.

[44]  Jeffrey A. Koch,et al.  CVD diamond as a high bandwidth neutron detector for inertial confinement fusion diagnostics , 2003 .

[45]  D. Turnbull,et al.  Demonstration of High Performance in Layered Deuterium-Tritium Capsule Implosions in Uranium Hohlraums at the National Ignition Facility. , 2015, Physical review letters.

[46]  V N Goncharov,et al.  Subpercent-Scale Control of 3D Low Modes of Targets Imploded in Direct-Drive Configuration on OMEGA. , 2018, Physical review letters.