intense beam of laser light, ions, or electrons to generatethe implosion and ignition of the <strong>fusion</strong> fuel.There are three interrelated phenomena involved in theachievement of high <strong>fusion</strong> target <strong>energy</strong> gain. (Gain issimply defined as the ratio of the <strong>fusion</strong> <strong>energy</strong> generateddivided by the total driver <strong>energy</strong>—atom bomb, X-rays,laser, electron, or ion beams—incident on the target.) Theefficient absorption of the incident driver <strong>energy</strong> leads tothe generation of an appropriate compression shock wave,which, in turn, efficiently compresses the <strong>fusion</strong> fuel tohigh densities and leads to the thermonuclear ignition ofa core of the compressed fuel. At temperatures ofhundreds of millions of degrees, this generates an intensethermonuclear burn wave that ignites the remaining compressedfuel.Failure at any point of these distinct, though coupled,processes will either produce a complete dud or low orfractional target gain.For example, the incident driver <strong>energy</strong> could simplybe reflected instead of absorbed. Or, the incident <strong>energy</strong>,while being absorbed, might not generate an ablativeimplosion. In this case, the initially heated material fromthe surface of the target becomes isolated from the solidtarget surface and the incident driver <strong>energy</strong> is consumedin simply heating this material. (This is termed coronadecoupling, where the corona is the initially heated material.)The result is the same as turning off the rocketexhaust in a spaceship. In order for the ablative processto continue, the incident driver <strong>energy</strong> must be ableeither to penetrate or be transported through the initialexhaust gases, thereby continuing to heat the actual surfaceof the target and maintaining the flow of exhaustgases (Figure 1).Even if the absorption of the incident driver <strong>energy</strong> iscompletely successful and an effective ablation processresults, the compression shock or shocks thereby generatedmay not succeed in compressing the interior of the<strong>fusion</strong> fuel target. The compression shock wave couldbecome unstable and break up so that it no longer constitutedan effective "compression" cylinder. Or, <strong>energy</strong>from the ablative process might penetrate the interior ofthe target before compression is achieved, interfering withcarrying out an efficient implosion of the fuel. For example,if this penetrating <strong>energy</strong> significantly heats the precompressedfuel, efficient compression would becomevirtually impossible.Finally, even if the ablative process is efficiently set up,producing an effective and stable compression shock, theshock wave could fail to be sufficiently intense when itreaches the core of the target to raise this region tothermonuclear ignition temperatures. Or, even if ignitionis generated, the resulting thermonuclear burn could beso weak that it fails to generate a burn wave of enoughintensity to ignite the remaining compressed fuel.High-Power LasersIn general, at the present time, researchers have onlyan incomplete, pragmatic picture of how inertial confinementworks.- 1 Therefore, it follows that no firm limits canbe placed on the development of major advances ininertial confinement devices. Looking at it from the perspectiveof national defense, the only conclusion is thatdetermination of these limits should have the highestpriority. Given the existing theoretical-experimental impassewith H-bomb devices for research—chiefly becausetheir minimal scale precludes the use of important experimentalmeasurements—the best way to proceed is todevelop a driver that most closely replicates what goes onin an H-bomb on a miniature scale. High-power lasersprovide the most practical means for achieving this.When intense electromagnetic radiation, such as a focusedlaser beam, is directed onto matter, electrons in theatoms that make up the material absorb some of theincident <strong>energy</strong>. If the incident laser beam is above anintensity of, say, 10 billion to 100 billion watts per squarecentimeter, a substantial portion of the atoms that makeup the surface of the material becomes ionized in theprocess; that is, their electrons absorb enough <strong>energy</strong> toescape from the atom.This is how an ablating plasma is formed.One well-known property of a plasma is that it has amaximum density through which electromagnetic radiationof a given frequency can penetrate. This electronnumberdensity is called the critical density, n„. Therelationship between the earth's ionosphere (the plasmafound above the earth's atmosphere) and shortwave radiotransmission is a good example of how this works. Shortwaveradio transmissions cannot generally penetrate theionospheric plasma and are reflected so that they can bereceived throughout the world. On the other hand,shorter-wavelength, higher-frequency radio broadcastsusing electromagnetic radiation of the micrometer wavelength(microwaves) can penetrate the ionosphere and,therefore, are used for communication with satellites.In very general terms, what is going on is that theplasma has a "fundamental frequency" at which it interactswith electromagnetic <strong>energy</strong>. This fundamental frequencyis called the plasma frequency and is a function of theplasma electron-number density:f pc = 8.98 X 10 jwhere /,„, is the electron plasma frequency in cycles persecond and n e is the plasma electron-number density inelectrons per cubic centimeter.The critical density r» c , is that plasma electron density atwhich the plasma frequency equals the frequency of theincident electromagnetic wave. If the incident wave'sfrequency is greater than f pe at all plasma electron densities,it is possible for the wave to pass through the plasma.If it is not greater than /> the wave can be either reflectedor absorbed, depending on the intensity of the incidentwave and the nature of the plasma (that is, what sort ofionized atoms make up the plasma).The theory of intense light-plasma coupling is one ofthe most challenging and complex problems in all ofphysics. While the critical density provides a useful referencepoint, the primary reflection and absorption pro-September 1980 FUSION 51n e
cesses take place at plasma densities below that of n, r , andthese processes are nonlinear and complex.In the case of the soft X-ray radiation, the primary formof the initial <strong>energy</strong> output from a fission atom bomb, thecorresponding electron density that gives a plasma frequencyin the same range would be 10" to 10 25 per cubiccentimeter. This is very close to the atomic number densitywe find with most solid materials. Therefore, for thte caseof soft X-rays it could be expected that the radiationwould readily penetrate the exhaust plasma to a pointvery close to the solid surface. This produces a veryefficient ablative implosion.On the other hand, if much shorter wavelength, "hard"X-rays were used to drive the implosion, the electromagneticradiation would have a frequency in excess 6f thatpossessed by a solidlike-density plasma, and the X-rayswould readily penetrate toward the interior of the target.This would heat the inner fuel before compression, preventingthe achievement of efficient isentropic compression.This effect is called preheating.Figure 2 is a general schematic giving the various regionsof radiation-plasma interaction that would be encounteredfor radiation incident on a flat slab target. Thesection on the right represents the solid surface of thetarget. The middle section is made up of a high-densityablation plasma ranging from critical density to soliddensity. The radiation incident from the left does notpenetrate this region. On the left is a region mad^ up ofablating plasma with densities less than the critical density.Why Short Wavelengths?The original specification U.S. <strong>fusion</strong> researchers atLawrence Livermore Laboratory made in 1963 to achievelaser <strong>fusion</strong> target gains greater than 1 called for 100,000joules of laser light with a wavelength of 0.69 micron andan intensity of 500 trillion watts per square centimeter.This meant that the laser would have to attain a poweroutput of up to several hundred trillion watts with a pulselength of about 1 billionth of a second. 4 This 1963 observationis very close to present-day estimates that areinformed by more than a decade of laser-matter experiments.The crucial question identified at this early point in thedevelopment of the U.S. laser <strong>fusion</strong> program was whateffect the laser light wavelength would have on both theefficiency and effectiveness of laser-matter interaction fordriving ablative implosions. Pragmatically, one would callfor duplicating the existing, successful inertial system, theH-bomb, by choosing wavelengths that would replicatethose of soft X-rays, about 0.01 micron.From a theoretical standpoint, however, use of shortwavelengthradiation in the driver also makes sense. Asnoted previously, soft X-rays have the ideal wavelengthfor penetrating the ablating plasma and depositing thedriver <strong>energy</strong> where it is needed at the surface of thetarget. Furthermore, the higher plasma densities at whichthe soft X-rays are absorbed are less conducive to nonlinearinteractions. This is because plasmas at higher densitiesare more "collisional," exhibiting far fewer of the collec-Figure 2LASER IRRADIATION OF SLAB TARGETThis schematic of a slab target being irradiated withlaser light shows three regions: first, an outer layerwith density less than or equal to the critical densitythat is directly heated by the laser light—the underdenseregion; a high-density region that is heatedindirectly by <strong>energy</strong> conduction; and the solid densityregion.tive interactions that dominate less dense plasmas. As aresult, short-wavelength radiation produces the most efficientand effective ablative-driven implosion.Even if soft X-ray lasers were a technological reality (andthey are not at the present time), handling electromagneticradiation below 0.2 to 0.1 micron is quite difficult,and all of the advantages of coherent laser light, such asease of transport and focusing of the light beam by usingmirrors, lenses, and other optical devices, are lost. Opticaltechnology gives a lower limit between 0.1 and 0.2 micronfor the wavelength of the driver radiation; the kryptonfluoride laser has a wavelength of 0.25 micron; and thatof the existing high-power, neodymium-doped glass lasersis 1.06 microns.As theoretically predicted, recent experiments withshort-wavelength laser light have indicated that absorptionefficiency and quality greatly improve with decreasingwavelength. 5 The original laser <strong>fusion</strong> experiments withlaser light of only 1.06 microns have shown a tendency52 FUSION September 1980
- Page 2 and 3: FUSIONMAGAZINE OF THE FUSION ENERGY
- Page 4 and 5: of the Academy drew an editorial bl
- Page 6 and 7: LettersRiemann Vs. Darwin:Evolution
- Page 8 and 9: LettersContinued from page 7The Aut
- Page 10 and 11: News BriefsCarlos de HoyosUwe Parpa
- Page 12 and 13: News BriefsU.S. BUDGET CUTS TARGET
- Page 14 and 15: Special ReportWhy MonetarismDestroy
- Page 16 and 17: according to Mitchell, the seminal
- Page 18 and 19: the worst accident that could possi
- Page 20 and 21: subways), fossil-fueled power plant
- Page 22 and 23: should be started now, Levitt state
- Page 24 and 25: TheNASAStoryThe Fight forAmerica'sb
- Page 26: To one leading military faction at
- Page 29 and 30: created since the midcentury, in at
- Page 31 and 32: created the rockets and all the ins
- Page 33: While the military and the presiden
- Page 36 and 37: James E. Webb (right), the NASA adm
- Page 38 and 39: NASAAnatoly Dobrynin (foreground),
- Page 40 and 41: TheNATOPlan to KillUS. Scienceby Ma
- Page 42 and 43: Europe, Bertrand de Jouvenel, himse
- Page 44 and 45: could well be a "three-way split; i
- Page 46 and 47: mation of a U.S. Association for th
- Page 48 and 49: continued development of high-power
- Page 52 and 53: toward the generation of "hot" elec
- Page 54 and 55: system that combined the KrF with a
- Page 56 and 57: Others have charged that scientists
- Page 58 and 59: AAAS-Brookings Conf.:Nonscience Age
- Page 60 and 61: Siberian development is at thecente
- Page 62 and 63: tition from the antinuclear Union o
- Page 64 and 65: as the primary driver to implode th
- Page 66 and 67: A CDC spokesman said that thenew sy
- Page 68 and 69: Space Science& TechnologyThe Solar
- Page 70 and 71: hoto by C. Srinivasen/United Nation
- Page 72 and 73: 1975. This index has been at or bel
- Page 74 and 75: course, the primary cooling systemi
- Page 76 and 77: _The Young Scientist.What IsEnergy?
- Page 78 and 79: Lyndon LaRoucke, Democrat for Presi