Lawrence Livermore National Laboratory

November 2, 2021

Second in a series of articles describing aspects of the National Ignition Facility’s record-breaking 1.3-megajoule experiment.

Part 1: “Building to a Solution: The Elements of a Fusion Breakthrough”

Part 3: “NIF Diagnostics Played Key Role in Fusion Milestone”

Designing the experiment that brought the National Ignition Facility (NIF) to the threshold of ignition on Aug. 8 was a multiyear problem-solving effort aimed at firing enough laser energy into the hot spot at the center of a NIF target capsule to trigger a self-sustaining burn wave of fusion reactions.

Video graphic of NIF record yield of more than 1.3 megajoules

It was anything but easy. Inertial confinement fusion (ICF) researchers pursued a wide variety of experimental approaches over the course of a decade in looking for ways to maximize the energy delivered by NIF’s lasers in the hohlraum, the capsule, and the hot spot (see “How NIF Targets Work”). Those efforts culminated in the record-breaking shot that generated more than 10 quadrillion watts of fusion power for 100 trillionths of a second.

“The ICF program has steadily advanced our physics understanding and the technology over the last decade to improve performance,” said ICF Chief Scientist Omar Hurricane. The record shot “built on a decade of research by an incredible team across the Lab and the wider community.”

The shot was part of a series of “hybrid” (high-yield big-radius implosion design) experiments on NIF that couple the best elements of previous high-yield experiments with new understanding of the implosion process informed by rapid advances in diagnostic and modeling technology. The strategy applies this knowledge in a new design with the largest capsule size that can be fielded symmetrically within NIF’’s current experimental limits while maintaining other important implosion properties.

Members of the Hybrid-E TeamMembers of the Hybrid-E team (from left): David Strozzi, Laurent Divol, Omar Hurricane, Chris Young, Annie Kritcher, Michael Stadermann, Debbie Callahan, Alex Zylstra, Denise Hinkel, Art Pak, Riccardo Tommasini, and Dan Clark. Not shown: Dan Casey, Chris Weber, Joe Ralph, Kevin Baker, Tilo Döppner, and Sebastien Le Pape. Credit: Mark Meamber

The experiment’s success “demonstrates that NIF can provide access to the physics regime around ignition,” said LLNL physicist Annie Kritcher, lead designer for the Hybrid-E experiments, the latest in the hybrid series. “Creating these conditions in the laboratory will significantly advance our understanding of what it takes to achieve energy gain higher than required to initiate the reactions and provides access to a new experimental regime that was previously unattainable.”

Boosting Hot-Spot Energy Density

Diagram of NIF Energy-Coupling Efficiency
Simplified flow diagram showing NIF target capsule energy-coupling efficiency. The “laser energy” shown is after wavelength conversion from infrared to ultraviolet, which loses about half of the laser’s original energy. When the light reaches the hohlraum, it heats the inner walls and generates x rays that compress the fusion fuel, using up more than half of the 1.9 megajoules of ultraviolet light. After accounting for x-ray energy lost through the laser entrance holes (LEH), laser-plasma interactions (LPI) and backscatter, and other factors, in earlier experiments only about 150-270 kilojoules was absorbed by the capsule, and only about 10 kilojoules ended up in the fusion fuel. (Click to expand)

Although NIF is the world’s largest, highest-energy laser system, almost all the energy from the facility’s 192 laser beams is lost to wavelength conversion, x-ray production, backscatter, and other factors before it reaches the capsule. The concentration of energy in the hot spot is one key to obtaining high levels of fusion performance and reaching the conditions required for ignition. Ignition is achieved when the heating power from alpha particles produced by fusion reactions in the hot spot overcomes the cooling effects of x-ray losses, electron conduction, and implosion expansion, causing a self-heating feedback loop in the fusion fuel and an explosive amplification of energy output (see “Anatomy of a Milestone Experiment”).

Fluid instabilities, asymmetries, electron heating, hot-spot drift, and other “non-ideal factors” tend to “steal energy away from the system and waste it in various ways,” Hurricane said.

“Hot-spot drift and asymmetry prevent the kinetic energy of the implosion from being fully converted into internal energy at peak compression,” he said. “That’s basically wasted energy.”

Other factors that have degraded capsule implosions include the mixing of capsule material with the fusion fuel, target capsule surface “pits,” subsurface “voids” and thickness inconsistencies, and instabilities caused by the “tents” that suspend the capsule inside the hohlraum and the fill tube used to inject fuel into the capsule. These elements “take energy and turn it into x rays,” Hurricane said, “and it’s lost from the system through x-ray emission.”

The hybrid strategy is part of a multipronged NIF effort to couple more laser energy to the hot spot. It features new target designs that pair larger high-density carbon (diamond) capsules with smaller or reconfigured hohlraums as well as new laser pulse shapes aimed at enhancing the radiation temperature in the hohlraum. The Hybrid-E experiments recorded the highest coupled energy to the hot spot yet achieved while maintaining the high stagnation pressure required for good performance.

Diagram of Hot-Spot Energy and Neutron YieldThe relationship between hot-spot energy and neutron yield in NIF deuterium-tritium (ignition) experiments from 2012 through early 2021, with the highest-performing shots occurring in 2020 and 2021 (red dots indicate Hybrid-E shots). While not the only important variable—high hot-spot pressure is also important—the chart shows that doubling the hot-spot energy increases yield by a factor of four, demonstrating the importance of hot-spot energy to the success of NIF implosions. The Hybrid-E experiment on Aug. 8 achieved a hot-spot absorbed energy of about 65 kilojoules (kJ)—about 20 kJ from the implosion, and the rest from “self-heating” from the fusion reactions.

“The strategy is to increase the capsule scale while you maintain the other key parameters such as velocity, adiabat (determines the compressibility of the fusion fuel), coast time, stability, and symmetry,” Kritcher said. She noted that larger capsules are more challenging to implode symmetrically, especially in more efficient smaller hohlraums filled with a low level of helium gas (in previous campaigns, the gas was used to help control the growth of a ”bubble” of hohlraum wall material that interfered with energy distribution). Low gas-fill hohlraums, however, provide the highest-performing implosions and reduce backscatter losses and hot-electron production, especially when also using a technique to improve energy distribution and shape control known as cross-beam energy transfer, or CBET.

In CBET, the laser beams exchange energy as they overlap in the laser entrance holes. Slightly changing the wavelength of one or more sets of beams “moves energy from one set to another,” said Hybrid-E lead experimentalist Alex Zylstra. “The amount of energy transfer can be tuned to balance the x-ray drive symmetry” so that energy is evenly distributed throughout the x-ray “oven” inside the hohlraum. Result of Cross-Beam Energy TransferIn a March 2019 experiment, the wavelength of the laser light on a subset of beams was changed by one angstrom (one ten-billionth of a meter) and produced the result shown on the right. Hybrid-E is the first campaign to employ this trick in a low-gas-filled hohlraum with a diamond capsule, which is key for managing backscatter of laser light from the hohlraum.

The Aug. 8 shot benefitted from a simplified data-based model developed by Debbie Callahan, a co-creator of the Hybrid-E strategy, to guide design choices. “We used the data-driven model to make tradeoffs of different properties of the design to get us in the right ballpark of symmetry control,” Hurricane said.

The lower gas fill also makes it easier to calculate and predict asymmetries using data-driven implosion models, Kritcher added, “enabling narrowing down the large design parameter space much more quickly.”

The larger capsules—about 15 percent bigger than those used in previous high-yield experiments—are needed because a key parameter for ICF designs is the ratio of the hohlraum size to capsule size, called the case-to-capsule ratio (CCR). A smaller CCR enhances energy efficiency, Zylstra said, but makes it more difficult to control other aspects of the shot such as the symmetry of the x-ray drive on the capsule.

Comparison of Standard and Hybrid TargetsComparison of a target used in previous high-yield experiments with a Hybrid-E target, which uses a capsule with a 15 percent larger radius and a slightly smaller hohlraum.

“By fielding these larger capsules at relatively small CCR,” Zylstra said, “we increase the coupling efficiency from laser energy to capsule-absorbed energy while controlling the implosion symmetry using wavelength detuning to control cross-beam energy transfer in the hohlraum. This new design results in record values of the implosion kinetic energy and internal energy of the fuel at stagnation.”

The Hybrid-E design was informed by terabytes of data from NIF’s suite of dozens of state-of-the-art nuclear, x-ray, and optical diagnostics, which dissected every aspect of the more than 170 DT experiments conducted since 2011 (see, for example, “Nuclear Diagnostics Help Pave the Way to Ignition on NIF”). Those data were analyzed to improve understanding and used to enhance the predictive ability of implosion computer models.

The 1.3-megajoule experiment also benefitted from efforts to increase the initial energy and energy balance of the NIF laser beams and improve the surface smoothness and thickness consistency of target capsules through new fabrication, metrology, and polishing techniques and innovative, more stable capsule designs.

“To create the extreme conditions needed to achieve ignition,” Kritcher said, “these experiments require a great deal of precision in many aspects of the experiment, including laser delivery, target fabrication, and control of the symmetry of the imploding pellet and hydrodynamic instabilities. Many aspects need to come into place for the best experimental conditions, regardless of the intended design.”

Anatomy of a Milestone Experiment

Here are the key factors that led to the success of NIF’s 1.3-megajoule experiment:

Illustration of a Fusion ReactionIn a fusion reaction, nuclei of the two isotopes of hydrogen, deuterium (containing one neutron and one proton) and tritium (two neutrons and one proton), are forced together by extremes of temperature and pressure and fuse to form a helium nucleus. In the process some of the mass of the hydrogen is released as energy.
  • At 2:02 p.m. on Aug. 8, NIF’s 192 high-energy lasers poured 1.92 megajoules of ultraviolet energy—slightly more than researchers had requested—into the ends of the hohlraum, a gold cylinder about the size of a pencil eraser. The laser pulses had to be precisely repointed because researchers in the Hybrid-E campaign had shrunk the aperture of the two laser entrance holes to prevent energy from escaping during the experiment.

  • This made the hohlraum more efficient in coupling the laser energy, transformed into x rays, to the target capsule (the ablator) suspended in the hohlraum and filled with deuterium and tritium (DT), heavy isotopes of hydrogen. The larger capsule further improved energy efficiency. The radiation blew off, or ablated, the capsule’s outer surface, causing a rocket-like high-velocity implosion that compressed and heated the fuel until the hydrogen atoms began to fuse in the central hotspot, producing alpha particles (helium nuclei) and neutrons.

  • The hohlraum’s increased efficiency enabled researchers to reduce the power at the peak of the laser pulse and use the energy to extend the pulse by a few hundred picoseconds (trillionths of a second). This shortened the “coast time” between laser shutdown and the moment when the imploded target capsule stagnated at maximum compression—increasing the implosion velocity and stagnation pressure, concentrating more energy in the hot spot, and producing additional fusion reactions. The reduced coast time led to a smaller radius at peak velocity for the implosion, which is highly beneficial for the stagnation conditions. “The radius of peak velocity,” Hurricane said, “is essentially the radius where the decreasing ablation pressure outside the implosion is balanced by the increasing pressure due to convergence inside the implosion. Make that radius small and you win.” The extra laser energy, as well as improved beam quality, accuracy, and stability, also helped boost the hot-spot pressure and temperature.

  • Illustration of Inertial Confinement FusionIllustration of laser-driven inertial confinement fusion.
  • The experiment used cross-beam energy transfer to compensate for the larger capsule, which is more prone to asymmetries. Slightly changing the wavelength of one or more sets of beams to control the exchange of energy as the beams crossed in the laser entrance holes helped balance the x-ray drive symmetry so that energy was evenly distributed throughout the hohlraum.

  • “The latest breakthrough was the result of a decade of scientific learning and progress, and key advances over the last two years in design, targets, diagnostics, modeling, and the NIF laser.”

    —NIF Director Doug Larson

  • The implosion was further enhanced by the uniquely high quality of the high-density carbon (HDC), or diamond, target capsule and the switch from a five-micron-thick to a two-micron-thick tube to fill the capsule with hydrogen fuel. Research had shown that ablator material in capsules with many surface and interior defects tends to contaminate the fusion fuel, and thicker fill tubes cause instabilities, both damaging to the implosion. A thicker DT cryogenic hydrogen ice layer along the inside edge of the capsule and additional tungsten dopant in the carbon helped increase hydrodynamic stability.

  • As they all came together in the span of nine nanoseconds (billionths of a second), these changes and enhancements enabled the hot spot to produce a record number of fusion reactions, unleashing a tsunami of high-energy alpha particles into the surrounding cold fuel. As the particles were absorbed, or “stopped,” this alpha-heating process ignited additional fusion reactions that spread through the fuel in a self-sustaining thermonuclear burn wave that consumed almost 2 percent of the fuel.
Illustration of Alpha Heating
Illustration of alpha heating in a standard NIF target. (Click to expand.)

“Self-sustaining burn is essential to getting high yield,” Callahan said. “The burn wave has to propagate into the high-density fuel in order to get a lot of fusion energy out. This is a huge advance for fusion and for the entire fusion community.”

The result: The shot produced an unprecedented 4.8×1017 (480 quadrillion) neutrons and 1.35 megajoules of fusion energy yield, eight times NIF’s previous energy record set by a Hybrid-E experiment in February, and 25 times the record from an HDC experiment in 2018. And it was about 70 percent of the energy needed to meet the formal definition of ignition established by the National Academy of Science in 1997.

“This (ICF) has been a continuous learning process,” Kritcher said. “Future experiments aim to understand the new physics regime we have recently accessed through advanced diagnostics and assessing performance reproducibility. Future work also includes continuing to improve on the recent results by increasing the compression of the fuel and improve implosion efficiency by minimizing perturbations and continuing to develop the radiation drive.”

The Hybrid-E Target After the Shot
The Hybrid-E target after the shot. (Click to expand)

Along with Hurricane, Kritcher, Zylstra, and Callahan, the Hybrid-E team members are Dan Casey, Dan Clark, Art Pak, Chris Weber, Chris Young, Joe Ralph (who led the work on the smaller laser entrance holes), Kevin Baker, David Strozzi, Riccardo Tommasini, Denise Hinkel, and Tilo Döppner, and former LLNL researcher Sebastien Le Pape. The experiment also benefitted from contributions by Nino Landen, John Edwards, and many other LLNL researchers; Abbas Nikroo, Michael Stadermann and the Target Fabrication team; Jean-Michel Di Nicola, Steve Yang, and the Laser Operations team; and Andy MacKinnon, Alastair Moore, and the Diagnostics Team.

Also contributing were collaborators from Los Alamos and Sandia national laboratories, the Nevada National Security Site, General Atomics, the Laboratory for Laser Energetics at the University of Rochester, the academic community, industry, DOE and NNSA, and many other NIF partners in the fusion, plasma, and high energy density science communities.

More Information:

“Achieving record hot spot energies with large HDC implosions on NIF in HYBRID-E,” Physics of Plasmas, July 21, 2021

“Record Energetics for an Inertial Fusion Implosion at NIF,” Physical Review Letters, January 11, 2021

“On the Threshold of a Critical Milestone,” Science & Technology Review, April, 2019

“A simple model to scope out parameter space for indirect drive designs on NIF,” Physics of Plasmas, July 8, 2020

“Beyond alpha-heating: driving inertially confined fusion implosions toward a burning-plasma state on the National Ignition Facility,” Plasma Physics and Controlled Fusion, November 27, 2018

“Enhanced energy coupling for indirectly driven inertial confinement fusion,” Nature Physics, October 29, 2018

Future articles in this series will detail the role of the improved targets, computer modeling and simulation capabilities, enhanced laser delivery, and plans for future experiments.

—Charlie Osolin

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