Fusion basics Fusion reactions combine smaller atoms to form larger ones. This occurs when two atoms (or ions, atoms stripped of their electrons) come close enough to each other that the
nuclear force dominates the
electrostatic force that otherwise keeps them apart. Overcoming electrostatic repulsion requires
kinetic energy sufficient to overcome the
Coulomb barrier or
fusion barrier. Less energy is needed to cause lighter nuclei to fuse, as they have less electrical charge and thus a lower barrier energy. Thus the barrier is lowest for
hydrogen. Conversely, the nuclear force increases with the number of
nucleons, so
isotopes of hydrogen that contain additional
neutrons reduce the required energy. The easiest fuel is a mixture of 2H, and 3H, known as D-T.
Thermonuclear devices The first ICF devices were the
hydrogen bombs invented in the early 1950s. A hydrogen bomb consists of two bombs in a single case. The first, the
primary stage, is a fission-powered device normally using
plutonium. When it explodes it gives off a burst of thermal X-rays that fill the interior of the bomb casing. These X-rays are absorbed by a special material (like
Fogbank) surrounding the
secondary stage, which consists of fusion fuel, sandwiched between a fission fuel
sparkplug and
tamper. The X-rays heat this secondary and initiate further fission. Due to
Newton's third law, this causes the fuel inside to be driven inward, compressing and heating it. This causes the fusion fuel to reach the temperature and density where fusion reactions begin. In the case of D-T fuel, most of the energy is released in the form of
alpha particles and neutrons. Under normal conditions, an alpha can travel about 10 mm through the fuel, but in the ultra-dense conditions in the compressed fuel, they can travel about 0.01 mm before their electrical charge, interacting with the surrounding plasma, causes them to lose their speed. This means the majority of the energy released by the alphas is redeposited in the fuel. This transfer of kinetic energy heats the surrounding particles to the energies they need to undergo fusion. This process causes the fusion fuel to burn outward from the center. The electrically neutral neutrons travel longer distances in the fuel mass and do not contribute to this self-heating process. In a bomb, they are instead used to either breed tritium through reactions in a lithium-deuteride fuel, or are used to split additional fissionable fuel surrounding the secondary stage, often part of the bomb casing.
Mechanism of action The energy needed to overcome the Coulomb barrier corresponds to the energy of the average particle in a gas heated to 100 million
K. The
specific heat of hydrogen is about 14
Joule per gram-K, so considering a 1 milligram fuel pellet, the energy needed to raise the mass as a whole to this temperature is 1.4 megajoules (MJ). In the more widely developed
magnetic fusion energy (MFE) approach, confinement times are on the order of one second. However, plasmas can be sustained for minutes. In this case the confinement time represents the amount of time it takes for the energy from the reaction to be lost to the environment - through a variety of mechanisms. For a one-second confinement, the density needed to meet the Lawson criterion is about 1014 particles per cubic centimetre (cc). For comparison, air at sea level has about 2.7 × 1019 particles/cc, so the MFE approach has been described as "a good vacuum". Considering a 1 milligram drop of D-T fuel in liquid form, the size is about 1 mm and the density is about 4 × 1020/cc. Nothing holds the fuel together. Heat created by fusion events causes it to expand at the
speed of sound, which leads to a confinement time around 2 × 10−10 seconds. At liquid density the required confinement time is about 2 × 10−7s. In this case only about 0.1 percent of the fuel fuses before the drop blows apart. The rate of fusion reactions is a function of density, and density can be improved through compression. If the drop is compressed from 1 mm to 0.1 mm in diameter, the confinement time drops by the same factor of 10, because the particles have less distance to travel before they escape. However, the density, which is the cube of the dimensions, increases by 1,000 times. This means the overall rate of fusion increases 1,000 times while the confinement drops by 10 times, a 100-fold improvement. In this case 10% of the fuel undergoes fusion; 10% of 1 mg of fuel produces about 30 MJ of energy, 30 times the amount needed to compress it to that density. The other key concept in ICF is that the entire fuel mass does not have to be raised to 100 million K. In a fusion bomb the reaction continues because the alpha particles released in the interior heat the fuel around it. At liquid density the alphas travel about 10 mm and thus their energy escapes the fuel. In the 0.1 mm compressed fuel, the alphas have a range of about 0.016 mm, meaning that they will stop within the fuel and heat it. In this case a "propagating burn" can be caused by heating only the center of the fuel to the needed temperature. This requires far less energy; calculations suggested 1 kJ is enough to reach the compression goal. Some method is needed to heat the interior to fusion temperatures, and do so while when the fuel is compressed and the density is high enough. In modern ICF devices, the density of the compressed fuel mixture is as much as one-thousand times the density of water, or one-hundred times that of lead, around 1000 g/cm3. Much of the work since the 1970s has been on ways to create the central hot-spot that starts off the burning, and dealing with the many practical problems in reaching the desired density.
Heating concepts Early calculations suggested that the amount of energy needed to ignite the fuel was very small, but this does not match subsequent experience.
Hot spot ignition The initial solution to the heating problem involved deliberate "shaping" of the energy delivery. The idea was to use an initial lower-energy pulse to vaporize the capsule and cause compression, and then a very short, very powerful pulse near the end of the compression cycle. The goal is to launch shock waves into the compressed fuel that travel inward to the center. When they reach the center they meet the waves coming in from other sides. This causes a brief period where the density in the center reaches much higher values, over 800 g/cm3. The central hot spot ignition concept was the first to suggest ICF was not only a practical route to fusion, but relatively simple. This led to numerous efforts to build working systems in the early 1970s. These experiments revealed unexpected loss mechanisms. Early calculations suggested about 4.5×107 J/g would be needed, but modern calculations place it closer to 108 J/g. Greater understanding led to complex shaping of the pulse into multiple time intervals.
Direct vs. indirect drive '' which is irradiated with laser beam cones from either side on its inner surface to bathe a fusion microcapsule inside with smooth high intensity X-rays. The highest energy X-rays can be seen leaking through the hohlraum, represented here in orange/red.In the simplest method of inertial confinement, the fuel is arranged as a sphere. This allows it to be compressed uniformly from all sides. To produce the inward force, the fuel is placed within a thin capsule that absorbs energy from the driver beams, causing the capsule shell to explode outward. The capsule shell is usually made of a lightweight plastic fabricated using
plasma polymerization, and the fuel is deposited as a layer on the inside by injecting or diffusing the gaseous fuel into the shell and then freezing it. Shining the driver beams directly onto the fuel capsule is known as "direct drive". The implosion process must be extremely uniform in order to avoid asymmetry due to
Rayleigh–Taylor instability and similar effects. For a beam energy of 1 MJ, the fuel capsule cannot be larger than about 2 mm before these effects disrupt the implosion symmetry. This limits the size of the laser beams to a diameter so narrow that it is difficult to achieve in practice. On the other hand, "indirect drive" illuminates a small cylinder of heavy metal, often
gold or
lead, known as a
hohlraum. The beam energy heats the hohlraum until it emits
X-rays. These X-rays fill the interior of the hohlraum and heat the capsule. The advantage of indirect drive is that the beams can be larger and less accurate. The disadvantage is that much of the delivered energy is used to heat the hohlraum until it is "X-ray hot", so the end-to-end
energy efficiency is much lower than the direct drive method. Within the direct inertial confinement fusion scheme, there are two alternative approaches: shock ignition and fast ignition. In both cases the compression and heating processes are separated. First, a set of driver lasers compress the fuel up to an optimal point were the plasma is condensed and found in a stagnation state, this is, it has approximately homogenous temperature and density at its core. Then, another mechanism heates the plasma up to fusion conditions.
Shock ignition Proposed by C. Zhou and R. Betti, after an early compression phase similar to that of the direct drive approach, an additional driver is applied (such as a laser, electron beam, or similar pulse). This create a shock wave orders of magnitude stronger. The separation of the compression process from the final heating, where ignition is achieved, offers the advantage of reducing the compression requirements and utilizing more efficient energy deposition mechanisms. Additionally, some theoretical and experimental findings claim that these approach enhances ignition conditions, as demonstrated, for instance, at the
OMEGA laser at the University of Rochester. This increases the efficiency of the process while lowering the overall amount of power required.
Fast ignition Fast ignition is a promising alternative for achieving nuclear fusion within the inertial confinement fusion scheme. Similar to the shock ignition scheme, fast ignition divides the fusion process into two distinct steps: compression and heating, each of which can be optimized independently. After the precompression phase, a powerful particle beam is used to provide additional energy directly to the core of the fuel. It is important to note that, in fast ignition, this relies on a separate and rapid heating pulse, while shock ignition primarily employs shock waves to achieve ignition. The beam applied creates a heated volume within the plasma. If any region of such volume is able to ignite the nuclear fusion process, then, the burning will start and spread to the rest of the fuel. The two types of fast ignition are the "plasma bore-through" method and the "cone-in-shell" method. In plasma bore-through, a preceding laser bores through the outer plasma of the imploding capsule (the corona), before the last beam shot. In the cone-in-shell method, the capsule is mounted on the end of a small high-z (high
atomic number) cone such that the tip of the cone projects into the core. In this second method, when the capsule is imploded, the beam has a clear view of the core and does not use energy to bore through the 'corona' plasma. However, the presence of the cone affects the implosion process in significant ways that are not fully understood. In tests, this approach presents difficulties, because the laser pulse had to reach the center at a precise moment, while the center is obscured by debris and free electrons from the compression pulse. A variation of this cone approach incorporates a small pellet of fuel at the apex of the device, initiating a preliminary pre-explosion that also moves inward towards the larger fuel mass. Regarding the power beam, the original proposal for fast ignition involved an electron-based scheme. However, it was limited by the high electron divergences, kinetic energy constraints and sensitivity. Meanwhile, fast ignition by laser-driven ion beams, offers a much more localized energy deposition, a stiffer ion transport, with the possibility of beam focusing, and a better understood and controlled ion-plasma interaction. At first, the proposed projectiles of the beam were light ions, such as protons. However, these ions deposit most of their energy at the edge of the fuel, resulting in an asymmetrical geometry of the heated plasma. The ion beam used for the final ignition can be optimized, in order to achieve the desired conditions for the plasma and the burning, and to reduce system requirements. Currently, several research facilities worldwide are actively experimenting with Fast Ignition nuclear fusion, notably: the High Power Laser Energy Research Facility (
HiPer), located across multiple institutions in Europe.
HiPer is a proposed £500 million facility by the
European Union. Compared to NIF's 2 MJ UV beams, HiPER's driver was planned to be 200 kJ and heater 70 kJ, although the predicted fusion gains are higher than NIF. It was to employ
diode lasers, which convert electricity into laser light with much higher efficiency and run cooler. This allows them to operate at much higher frequencies. HiPER proposed to operate at 1 MJ at 1 Hz, or alternately 100 kJ at 10 Hz. The project's final update was in 2014. It was expected to offer a higher
Q with a 10x reduction in construction costs times. Several other projects are currently underway to explore fast ignition, including upgrades to the
OMEGA laser at the Laboratory for Laser Energetics (LLE) in the University of Rochester and the
GEKKO XII device at the Institute of Laser Engineering (ILE) in Osaka, Japan. Nonetheless, fast ignition faces its particular challenges, such as achieving an optimal deposition of energy in the target, avoiding unnecessary losses and properly transporting the fast electrons or ions through the plasma without creating divergences or instabilities.
Polymer fuel capsule fabrication For fuel capsules constructed using glow-discharge polymer (GDP) via
plasma polymerization, outer diameters can range from 900 μm (typical for the OMEGA laser system at the
Laboratory for Laser Energetics) to 2mm (typical for the
NIF laser at the
Lawrence Livermore National Laboratory. The process for producing GDP capsules begins with a bubble of poly(
α-methylstyrene) (PAMS) that serves as a decomposable mandrel. Next, the bubble is coated with GDP to the desired thickness. Finally, the coated bubble is heated in an inert atmosphere. Upon reaching 300 °C, the PAMS bubble decomposes into its monomers and diffuses out of the coating, leaving only a hollow sphere of the GDP coating. GDP lends itself to inertial fusion capsules—especially those used in direct-drive configurations—due to its ability to create low-defect, uniform thin films that are permeable to deuterium and tritium fuel. Permeating the fuel into the capsule precludes the need for drilling into the capsule to facilitate fuel injection, reducing the overall fusion target complexity and asymmetry. The rigorous uniformity and sphericity requirements of direct drive fusion experiments result in GDP being favored over other capsule materials. Additionally, the GDP layers can be doped with different elements to provide diagnostic signals or prevent preheating of the fuel.
Challenges (NIF) hohlraumThe primary challenges with increasing ICF performance are: • Improving the energy delivered to the target • Controlling symmetry of the imploding fuel • Delaying fuel heating until sufficient density is achieved • Preventing premature mixing of hot and cool fuel by
hydrodynamic instabilities • Achieving shockwave convergence at the fuel center In order to focus the shock wave on the center of the target, the target must be made with great precision and
sphericity with tolerances of no more than a few
micrometres over its (inner and outer) surface. The lasers must be precisely targeted in space and time. Beam timing is relatively simple and is solved by using
delay lines in the beams' optical path to achieve
picosecond accuracy. The other major issue is so-called "beam-beam" imbalance and beam
anisotropy. These problems are, respectively, where the energy delivered by one beam may be higher or lower than other beams impinging and of "hot spots" within a beam diameter hitting a target which induces uneven compression on the target surface, thereby forming
Rayleigh-Taylor instabilities in the fuel, prematurely mixing it and reducing heating efficacy at the instant of maximum compression. The
Richtmyer-Meshkov instability is also formed during the process due to shock waves. These problems have been mitigated by beam smoothing techniques and beam energy diagnostics; however, RT instability remains a major issue. Modern
cryogenic hydrogen ice targets tend to freeze a thin layer of deuterium on the inside of the shell while irradiating it with a low power
infrared laser to smooth its inner surface and monitoring it with a
microscope equipped
camera, thereby allowing the layer to be closely monitored. Cryogenic targets filled with D-T are "self-smoothing" due to the small amount of heat created by tritium decay. This is referred to as "
beta-layering". fuel microcapsule (sometimes called a "microballoon") of the size used on the NIF which can be filled with either deuterium and tritium gas or DT ice. The capsule can be either inserted in a hohlraum (as above) and imploded in the
indirect drive mode or irradiated directly with laser energy in the
direct drive configuration. Microcapsules used on previous laser systems were significantly smaller owing to the less powerful irradiation earlier lasers were capable of delivering to the target. In the indirect drive approach, the absorption of thermal x-rays by the target is more efficient than the direct absorption of laser light. However, the hohlraums take up considerable energy to heat, significantly reducing energy transfer efficiency. Most often, indirect drive hohlraum targets are used to simulate
thermonuclear weapons tests due to the fact that the fusion fuel in weapons is also imploded mainly by X-ray radiation. ICF drivers are evolving. Lasers have scaled up from a few
joules and kilowatts to megajoules and hundreds of terawatts, using mostly
frequency doubled or tripled light from
neodymium glass amplifiers.
Heavy ion beams are particularly interesting for commercial generation, as they are easy to create, control, and focus. However, it is difficult to achieve the energy densities required to implode a target efficiently, and most ion-beam systems require the use of a hohlraum surrounding the target to smooth out the irradiation. ==History==