The indirect compression dynamics of targets containing capsules with ablators of a plastic, high-density carbon and beryllium is simulated in the framework of a one-dimensional model based on the 1D RADIAN code. Experiments with such targets are performed on the NIF facility in the Livermore Laboratory (USA) in 2014-2018. The 1D simulation data are consistent with the results of experiments and calculations made at this Laboratory. The effect of the hard part of hohlraum radiation on capsule compression para meters is confirmed. We demonstrate the feasibility of eliminating this influence not only by selecting the hohlraum material but also by introducing admixtures into the capsule that absorb this radiation. It is shown how varying the amount of admixture in the capsule ablator varies the spectrum of the radiation that heats the DT fuel.

Experiments on the angular distribution of DD neutrons generated in nuclear reactions upon irradiation of a (CD2)n target have been performed in the “Neodymium” laser facility. Apart from the main pulse, prepulses were observed in the experiment. Measurements have shown that neutrons have an isotropic angular distribution. Experimental results have been analyzed using hydrodynamic calculations accounting for the ponderomotive force. The ion heating mechanism in a shock wave emerging under the action of the ponderomotive pressure of the main pulse in the supercritical region of the plasma has been considered. It is shown that neutrons are generated mainly in the supercritical plasma heated by the ion heat wave. The time of plasma cooling due to hydrodynamic spreading turns out to be much longer than the isotropization time of the ion velocity distribution function due to Coulomb collisions. In these conditions, the neutron angular distribution must be isotropic.

The paper is devoted to the numerical and theoretical study of compression and burning of a thermonuclear target under the conditions of inhomogeneous heating due to direct irradiation with a multi-beam megajoule laser facility. The two-dimensional distribution of absorbed laser energy has been numerically calculated taking into account refraction and various known factors of the violation of irradiation homogeneity. The limits of the violation of irradiation uniformity caused by these factors, which are acceptable for spark ignition of the target irradiated with 192 laser beams of the modern megajoule facilities, are determined. The target offset relative to the aiming point of the laser beams should not exceed 2% of the target radius, mispointing of the beams (5% of the target radius), mistiming of the laser pulses (3% of the pulse duration) and energy imbalance among the laser clusters (12%). These values exceed the permissible deviations for the laser facility being developed within the frameworks of the project.

We consider the physicomathematical model for the simulation of the angular laser flux distribution in a spherical target with the inclusion of radiation refraction in the corona. The irradiation uniformity is simulated using the target irradiation scheme on a megajoule multiple-beam laser facility. Calculations are made of the time-dependent angular distribution of absorbed flux and of the angular distribution of the time-integrated characteristic – the absorbed energy with allowance for the temporal shape of laser pulses – as well as of the time dependence of absorption efficiency. Different versions of target irradiation are considered. Under conventional irradiation it is assumed that the axes of all laser beams of equal energy pass through the target centre and the irradiation nonuniformity is due to its geometry only. Also examined are three unconventional irradiation versions: when there is a small spread of beam energies, when the target is displaced from the common beam pointing centre, and when the beam axes have small random deviations from the target centre. It is shown that the nonuniformity of the angular distribution of absorbed flux is greatest when the target is displaced from the beam pointing centre.

Determination of the spectra and yields of thermonuclear particles is an actual research line for inertial confinement fusion (ICF) in two areas: the development of diagnostic methods for ICF plasma and thermonuclear reactor design for energy production. The latter is particularly important for thermonuclear neutron emission, which contains the bulk of the evolving energy. This work is devoted to the determination and analysis of the energy spectrum composition of the emissions of thermonuclear neutrons, charged thermonuclear particles and recoil nuclei from ICF targets, which correspond to a laser pulse energy of ≈2 MJ and are designed for modern experiments to achieve a positive energy yield. The spectra are determined on the basis of hydrodynamic numerical simulations of ICF target burnup, modeling the generation of thermonuclear particles and their interaction with the target by means of the Monte Carlo method. The spectrum characteristics are discussed with reference to the problems of corpuscular diagnostics and radiation damage to the materials of thermonuclear reactor units.

Processes of explosion and expansion of laser targets, experiments with which could clarify the reason for the observed asymmetric distribution of matter in a remnant cloud of some supernovae (e.g., the Cassiopeia A supernova), have been simulated. By analyzing criteria of hydrodynamic similarity of conditions characteristic of an astrophysical object and experiment, targets for absorbed laser energies in the range of 1–100 kJ have been proposed. This work continues a series of previous studies of supernovae and the possibility of simulating a number of processes observed at the explosion of supernovae such as the motion of a shock wave in matter, development of hydrodynamic instabilities at interfaces between shells with different densities, and largescale mixing of layers of the central region of a star with elements initially located at the periphery of the remnant cloud under laboratory conditions with high-power lasers. The studies are based on the numerical simulation of the explosion and explosion of targets using one- and two-dimensional hydrodynamic programs.

We have studied the dependence of the compression and burning of a spherical direct-drive fusion target on the nonuniformity of its heating caused by the asynchronous arrival of laser beams under conditions of irradiation by a modern laser system with a total energy of 2 MJ intended for the fuel ignition and fusion energy evolution equal to the absorbed laser energy. The investigation is performed by numerical simulation based on 2D hydrodynamic codes. It is established that the limiting permissible spread of the moments of laser pulse action on the target for ignition significantly exceeds the level that can be ensured using modern methods of controlled temporal synchronization of laser beams.

One of the significant problems of modern physics is the creation and use of new energy sources. The decisive step in this direction is the realization of a positive yield in thermonuclear energy on a laboratory scale with the facilities that create and retain plasma. Between 2010 and 2017, a large series of experiments were performed at the National Ignition Facility laser at the Livermore Laboratory in the United States with the aim of achieving such a positive outcome. Until now, however, the ignition has not been reached. In this paper, for the first time the influence of the hohlraum radiation on capsule layers including a deuterium–tritium layer is discussed. It is shown that the negative influence of the ablator transparency can be compensated for by the selection of a capsule design with a greater optical thickness of the part of the ablator. This part of the ablator is not evaporated upon heating by an X-ray pulse. The design of such a capsule is proposed.

Direct-drive fusion targets are considered at present as an alternative to targets of indirect compression at a laser energy level of about 2 MJ. In this approach, the symmetry of compression and ignition of thermonuclear fuel play the major role. We report on the results of theoretical investigation of compression and burning of spherical direct-drive targets in the conditions of spatial nonuniformity of heating associated with a shift of the target from the beam center of focusing and possible laser radiation energy disbalance in the beams. The investigation involves numerous calculations based on a complex of 1D and 2D codes RAPID, SEND (for determining the target illumination and the dynamics of absorption), DIANA, and NUT (1D and multidimensional hydrodynamics of compression and burning of targets). The target under investigation had the form of a two-layer shell (ablator made of inertial material CH and DT ice) filled with DT gas. We have determined the range of admissible variation of compression and combustion parameters of the target depending on the variation of the spatial nonuniformity of its heating by a multibeam laser system. It has been shown that low-mode (long-wavelength) perturbations deteriorate the characteristics of the central region due to less effective conversion of the kinetic energy of the target shell into the internal energy of the center. Local initiation of burning is also observed in off-center regions of the target in the case of substantial asymmetry of irradiation. In this case, burning is not spread over the entire volume of the DT fuel as a rule, which considerably reduces the thermonuclear yield as compared to that in the case of spherical symmetry and central ignition.

The main parameters of compression of a target and tendencies at change in the irradiation conditions are determined by analyzing the published results of experiments at the megajoule National Ignition Facility (NIF) on the compression of capsules in indirect-irradiation targets by means of the one-dimensional RADIAN program in the spherical geometry. A possible version of the “failure of ignition” of an indirect-irradiation target under the NIF conditions is attributed to radiation transfer. The application of onedimensional model to analyze the National Ignition Campaign (NIC) experiments allows identifying conditions corresponding to the future ignition regime and distinguishing them from conditions under which ignition does not occur.

It is shown that fast ignition can ensure the combustion of asymmetrically compressed targets for inertial confinement fusion with an efficiency close to the combustion of one-dimensionally compressed targets. This statement is valid not only for targets specially designed for fast ignition. Fast heating by an external energy source can ensure the ignition of a target designed for spark ignition, but where this ignition does not occur because inhomogeneities are formed in the temperature and density distributions owing to the development of hydrodynamic instabilities. The condition for ignition is the fast heating of the plasma in the combustion initiation region whose size is comparable with the sizes of compression inhomogeneities. Thus, fast ignition not only significantly reduces the ignition energy, but also is possibly a necessary stage in the inertial confinement fusion scheme when the spherically symmetric compression of a target requires very high engineering and financial expenses. The studies are based on the numerical simulation of the compression and combustion of inertial confinement fusion targets with one- and two-dimensional hydrodynamic codes.

Turbulent Richtmyer-Meshkov instability (RMI) is investigated through a series of high resolution three-dimensional simulations of two initial conditions with eight independent codes. The simulations are initialised with a narrowband perturbation such that instability growth is due to non-linear coupling/backscatter from the energetic modes, thus generating the lowest expected growth rate from a pure RMI. By independently assessing the results from each algorithm and computing ensemble averages of multiple algorithms, the results allow a quantification of key flow properties as well as the uncertainty due to differing numerical approaches. A new analytical model predicting the initial layer growth for a multimode narrowband perturbation is presented, along with two models for the linear and non-linear regimes combined. Overall, the growth rate exponent is determined as theta = 0.292 +/- 0.009, in good agreement with prior studies; however, the exponent is decaying slowly in time. Also, theta is shown to be relatively insensitive to the choice of mixing layer width measurements. The asymptotic integral molecular mixing measures Theta = 0.792 +/- 0.014, Xi = 0.800 +/- 0.014, and psi = 0.782 +/- 0.013 are lower than some experimental measurements but within the range of prior numerical studies. The flow field is shown to be persistently anisotropic for all algorithms, at the latest time having between 49% and 66% higher kinetic energy in the shock parallel direction compared to perpendicular and does not show any return to isotropy. The plane averaged volume fraction profiles at different time instants collapse reasonably well when scaled by the integral width, implying that the layer can be described by a single length scale and thus a single theta. Quantitative data given for both ensemble averages and individual algorithms provide useful benchmark results for future research. Published by AIP Publishing.

We present the results of theoretical and numerical research on the burning of spherical thermonuclear targets under conditions where the peripheral part of the deuterium–tritium plasma is mixed with the surrounding inert substance of the target ablator; this takes place as a result of the development of hydrodynamic instabilities during the process of compression under the laser-pulse action. We investigate targets with parameters corresponding to the irradiation conditions given by the Russian Project on Megajoule Facility with an energy of about 2 MJ. For the investigated class of targets conforming to a large part of the evaporated ablator substance (no less than 75% of its initial mass), we show that the mixing does not spread to the region of strongly compressed fuel, which introduces a determining contribution to the propagation of the burning wave, not to speak of the central part of hot plasma responsible for the initiation of the burning wave. For this reason, the negative effect of the mixing on the burning efficiency of such targets is insignificant, and, as compared with the target burn in the absence of mixing, the released fusion energy decreased by no more than 20%.

The article presents calculation results, which were received for the implosion of the typical cryogenic thermonuclear direct-drive targets that are intended for use at the OMEGA facility, NIF and Russian laser facility. The compression and burning characteristics, which were obtained using various numerical codes of different scientific groups, are compared. The data indicate good agreement between the numerical results. Various sources of target irradiation inhomogeneity and their influence on the implosion parameters are considered. The nominal scales of these disturbances for various facilities are close to each other. The main negative effect on the efficiency of compression and burning is due to the accidental offset of the target from the center of the chamber.