Shock-ignition effect in indirect-drive thermonuclear target is demonstrated on the base of numerical simulations. Thermonuclear gain (in relation to laser pulse energy) of a shock-ignited indirect-drive thermonuclear capsule is obtained, which is 22.5 times higher than that at a traditional spark ignition of the capsule with the same DT-fuel mass, wherein the shock-ignition laser pulse energy is 1.5 times less than the energy of a laser pulse at traditional spark ignition. To implement the shock-ignition effect in indirect-drive target, a rapid increase in radiation temperature is required over several hundred picoseconds at the final stage of thermonuclear capsule implosion. The ability of such a rapid response of radiation temperature to variation in the intensity of an x-ray-producing laser pulse is the main factor in the uncertainty of the degree of manifestation of the shock-ignition effect in an indirect-drive target. This circumstance, first of all, requires experimental study.

As part of the work on creating an x-ray microscope, experimental and theoretical studies of laser plasma of solid copper targets in the soft x-ray range were carried out. With a laser pulse duration of 2.5 ns (FWHM), the power density of the Nd:glass laser on the target is varied in the range 0.8 x 10(13)-4.2 x 10(13) W/cm(2). Experimental results demonstrated the presence of intense plasma emission in spectral ranges of water and carbon windows, and the number of photons of the most intense lines was calculated. Spatio-temporal studies of copper plasma have demonstrated intense emission in the wavelength range shorter than 15 & Aring;, and the images of plasma emission in time-integrated and linear sweep modes are shown. The simulations of the interaction of the specified laser radiation flux with copper targets were carried out taking into account the transfer of self-radiation in plasma. The non-local thermodynamic equilibrium optical properties of the plasma were used. As a result of calculations, profiles of density, temperature, electron thermal conductivity flux, emissivity of plasma, and self-radiation flux were obtained. The calculated spectrum of the outgoing radiation is consistent with that obtained at the experiment.

The effect of energy transfer by laser-accelerated fast electrons on thermonuclear gain of a shock-ignited ICF target at different powers and durations of the high-intensity part of the laser pulse (spike) responsible for igniting shock wave generation has been investigated on the basis of hydro-kinetic numerical simulations. The key result of these studies is that the fast-electron energy transfer is able to provide a great contribution to igniting shock wave pressure to maintain a high thermonuclear gain with a significant decrease in the energy of the igniting part of the laser pulse. Calculations were performed for the 2nd harmonic Nd-laser pulse in order to justify shock-ignition experiments at the Megajoule-class facility, which is currently under construction in Russia. Spike energy conversion to fast electron energy and its temperature were selected in the ranges, which are discussed in the literature. It has been found that fast electrons with a temperature of 50–70 keV, whose energy contains 20%–40% of spike energy, make such a large contribution to the pressure of the igniting shock wave that the gain factor retains its value of 70–80 with spike energy decrease by 1.5–2 times.

The thermodynamic state of a high-temperature laser-induced emitting plasma has been studied based on numerical simulation data. Laser-induced X-ray radiation characteristics versus wavelength and intensity of an incident Nd-laser pulse have been discussed for those ranges of these parameters where the condition for compression of an inertial-confinement fusion target by an X-ray pulse is met. Another object of investigation was the thermodynamic state of a plasma produced by a laser-induced X-ray radiation pulse acting on plane targets made of light materials that are most in demand as materials for a target outer layer (so-called ablator), within which a target-compressing pressure is developed. The thermodynamic characteristics of the plasma produced by the laser pulse have been compared with those of the plasma produced by the pulse of laser-induced X-ray radiation.

Results of experiments aimed at amplification of the pressure of laser-induced shock wave on the passage from low- to high-density target material via vacuum gap are presented. During the action of nanosecond laser pulse of terawatt power on plane composite targets comprising a layer of laser radiation absorber of low-density (0.01–0.025 g/cm3) spaced by vacuum gap from a layer of aluminum, the shock-wave velocity in aluminum reached 25–29 km/s and a pressure jump at the aluminum layer boundary was 1.2–1.5 times as large as that observed in experiments on the cumulative transition of laser-induced shock wave into a solid. The obtained experimental data are compared to results of the numerical calculations performed using hydrodynamic programs in which the shock-wave generation and propagation was modeled with allowance for the interaction of laser pulses with partly homogenized plasma of the porous material. Based on the results of experiments, numerical calculations, and their theoretical analysis, the efficiency of using low-density porous media in the targets intended for their equation of state investigations and inertial confinement fusion ignition is considered.

Irradiation of a thermonuclear capsule by a laser-induced X-ray pulse (indirect drive) is a way to maximally reduce the inhomogeneity of the capsule heating and, thereby, to minimize the negative influence of hydrodynamic instabilities on its compression. Nevertheless, the application of this method in the world’s largest NIF facility with a laser pulse energy of about 1.8 MJ at the Lawrence Livermore National Laboratory (LLNL), USA has not yet provided the ignition of indirect-drive thermonuclear capsule – obtaining of the deuterium–tritium reaction energy equal to the spent laser energy. We devote this paper to the theoretical study of compression and burning of thermonuclear capsule with different degrees of violation of its heating uniformity by laser-induced X-ray pulse within the framework of further development of the indirect-drive approach.

Heating a solid with laser-accelerated fast electrons is unique way for a laboratory experiment to generate a plane powerful shock wave with a pressure of several hundred or even thousands of Mbar. Behind the front of such a powerful shock wave, dense plasma is heated to a temperature of several keV. Then, a high rate of radiation energy loss occurs even in low-Z plasmas. The effect of strong compression of matter due to radiation cooling in a gigabar shock wave driven by fast electrons is found in computational and theoretical researches. It is shown that the effect of radiation cooling leads to the compression of matter in the peripheral region of shock wave to a density several times larger than the density at its front. Heating a solid by a petawatt flux of laser-accelerated fast electrons allows one to surpass the gigabar pressure level of a plane shock wave, which is the maximum level for the impact of laser-accelerated pellets. Higher pressure about 100 Gbar can be achieved under laboratory conditions only when a spherical target is imploded under the action of a terawatt laser pulse.

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.

In this paper, enhancement in x-ray emission and reduction of kinetic energy of ions from low density foam plasma is demonstrated by performing experiment and hydrodynamic simulation. The plasma is produced by irradiation of solid gold and gold foam targets (densities 0.2 g/cc, 0.13 g/cc and 0.1 g/cc) at intensities in the range of 4 x 10(13) -1 x 10(14) W cm(-2). Time resolved x-ray emission is measured by an x-ray streak camera with 10 ps resolution. The x-ray flux measured by the streak camera from low density gold foam shows a 13% enhancement in comparison to solid gold in the spectral range >0.8 keV and above. Decrease in velocity of ions is observed in low density gold foam. In solid gold, thermal ions peak velocity is 31 x 10(4) m s(-1) and spread in narrow energy width, however, in case of 0.1 g/cc, peak velocity reduces to 6 x 10(4) m s(-1) towards target normal and emitted in broad energy range. Shadowgraphy results also provide evidence of narrower expansion of plasma from solid gold. However, total ion flux from low density gold foam is comparable to ion flux of solid gold indicating the process of volumetric absorption.

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 was shown (Faenov et al ., 2015 b ) that the energy of femtosecond laser pulses with relativistic intensity approaching to ~10 21 W/cm 2 is efficiently converted to X-ray radiation and produces exotic states in solid density plasma periphery. We propose and show by one-dimensional two-temperature hydrodynamic modeling, that applying two such unique ultra-bright X-ray sources with intensities above 10 17 W/cm 2 – allow to generate shock waves with strength of up to some hundreds Mbar, which could give new opportunities for studies of matter in extreme conditions.