Ignition condition and gain prediction for perturbed inertial confinement fusion targets

The effect of perturbations on hot spot ignition is studied using full two-dimensional (2D) numerical simulations of the National Ignition Facility [J. D. Lindl, Phys. Plasmas 2, 3933 (1995)] direct drive Laboratory for Laser Energetics target design and newly derived 2D self-similar solutions for a perturbed burn wave propagation. It is shown that the required implosion velocity needed for ignition increases with the perturbation mode number and final amplitude, reaching an asymptotic value for high enough perturbation mode numbers, when the entire mixing zone no longer contributes to the ignition of the hot spot. Using the new self-similar solutions, ignition conditions for various perturbation mode numbers and amplitudes are obtained. These ignition conditions, which correspond to areal densities higher than needed for ignition in the symmetric case, are translated to a required increase in the implosion velocity needed for ignition, using the 1D Levendahl–Lindl scaling, in good agreement with the full...

[1]  R. Kirkpatrick.  An overview of design space for small fusion targets , 1979 .

[2]  R. Kishony,et al.  Inertial confinement fusion ignition criteria, critical profiles, and burn wave propagation using self-similar solutions , 1997 .

[3]  P. Sasorov,et al.  Self-similar burn in a profiled density plasma: application to the neck of a Z pinch , 1993 .

[4]  M. Basko.  Spark and volume ignition of DT and D2 microspheres , 1990 .

[5]  Dan J. Thoma,et al.  The development and advantages of beryllium capsules for the National Ignition Facility , 1998 .

[6]  Steven W. Haan,et al.  A comparison of three-dimensional multimode hydrodynamic instability growth on various National Ignition Facility capsule designs with HYDRA simulations , 1998 .

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

[8]  U. Alon,et al.  Modal model for the nonlinear multimode Rayleigh–Taylor instability , 1996 .

[9]  S. Atzeni.  Sensitivity of ICF Reactor Targets to Long-Wavelength Drive Nonuniformities , 1990 .

[10]  D. Harris,et al.  Ignition target design and robustness studies for the National Ignition Facility , 1996 .

[11]  Roger O. Bangerter,et al.  Energy from Inertial Fusion , 1992 .

[12]  M. Key,et al.  Simulations of laser imprint for Nova experiments and for ignition capsules. Revision 1 , 1996 .

[13]  Steven A. Orszag,et al.  Three-dimensional simulations and analysis of the nonlinear stage of the Rayleigh-Taylor instability , 1995 .

[14]  R. Town,et al.  Analysis of a direct-drive ignition capsule designed for the National Ignition Facility , 2001 .

[15]  J. Lindl,et al.  Energy scaling of inertial confinement fusion targets for ignition and high gain , 1997 .

[16]  Nishihara,et al.  Three-dimensional Rayleigh-Taylor instability of spherical systems. , 1990, Physical review letters.

[17]  Peter A. Amendt,et al.  Design and modeling of ignition targets for the National Ignition Facility , 1995 .

[18]  Haan.  Onset of nonlinear saturation for Rayleigh-Taylor growth in the presence of a full spectrum of modes. , 1989, Physical review. A, General physics.

[19]  D. V. Il'in,et al.  Criterion of formation of a thermonuclear burn wave in deuterium-tritium targets , 1993 .

[20]  John Lindl,et al.  A generalized scaling law for the ignition energy of inertial confinement fusion capsules , 2000 .

[21]  Town,et al.  Three-dimensional simulations of the implosion of inertial confinement fusion targets. , 1991, Physical review letters.

[22]  John Lindl,et al.  Ignition scaling laws and their application to capsule design , 2000 .

[23]  O. Landen,et al.  Three-dimensional simulations of Nova high growth factor capsule implosion experiments , 1996 .

[24]  M. Basko,et al.  IGNITION ENERGY SCALING OF INERTIAL CONFINEMENT FUSION TARGETS , 1998 .

[25]  S. Atzeni,et al.  Inertial confinement fusion: Ignition of isobarically compressed D-T targets , 1984 .