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Defense Intelligence Reference Document Inertial Electrostatic Confinement Fusion

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This Defense Intelligence Agency reference document, dated 10 March 2010, covers inertial electrostatic confinement (IEC) fusion. It was produced in FY 2009 under the DIA's Advanced Aerospace Weapon System Applications (AAWSA) program. The report focuses on work at the University of Illinois Urbana-Champaign and reviews IEC basics, experiments, theory and applications such as neutron sources, explosives detection and space propulsion. It concludes by proposing a breakeven experiment for p-11B fusion that uses a hydrogen plasma simulation.

  • p. 5 …Sketch of Two Opposite Limits of the Beam·Maxwellian Equilibrium .. 38 Figure 4.5. The Definition…
  • p. 6 …Comparison of Analytical and Numerical Estimates of Q-Values in a Beam-Dominated Solution -- for a…
  • p. 8 …shows the "Star Mode" discharge where ion beams are created that pass through the grid openings…
  • p. 9 …discussed later where the recirculating ions possess beam-like trajectories passing through the center of the…
  • p. 10 UNCLASSIFIED/ ;raA 8FFIIItliL ~81!! SHL'f beam-like ions. Since electron energy loss processes such as…
  • p. 11 …In addition, its beam-like reactions (highly non-Maxwellian) make the IEC very well suited for…
  • p. 13 …a beam created at the anode and accelerated by the applied cathode voltage; a low-energy…
  • p. 14 …Good convergence is required to achieve optimal beam-beam reactivity scaling for the application that require…
  • p. 15 …The observed loss of convergence with decreasing pressure and increasing current makes achieving significant beam-beam…
  • p. 16 …For a power reactor the objective is to obtain ion beam-beam collisions in this central…
  • p. 17 …the "conventional" beam-like one. A key issue for this concept is how much plasma compression…
  • p. 19 …The main beam observed is a direct path along the injector angle. Other faint light channels…
  • p. 21 …Note that six ion "guns" were used to create a low energy ion beam that entered…
  • p. 22 UNCLASSIFIED/;SflHl 8FFIIItliL ~81!! 8HL'I' was obtained from recirculation beam-beam reactions in a potential…
  • p. 23 …The key physics point is that the beam-beam fusion rate scales as the ion current…
  • p. 26 …Scoping calculations of beam-background fusion rates predict that a 3 He- 3 He reaction product…
  • p. 27 …of the ion density squared scaling for beam-beam reactions. REFERENCES 2.1 R. L. Hirsch…
  • p. 28 …As such, the beam convergence (compression) is limited to lower values, hence lower core densities (an…
  • p. 30 …by the intersection of the multiple ion beams, serves to deflect ions into the escaping jet…
  • p. 31 …The result is the formation of the intense space charge neutralized ion beam (or "plasma jet…
  • p. 32 …in the symmetric microchannels into a directed beam or jet. Comparison to a Conventional "Plasma" Thruster…
  • p. 33 …The ion beams finally exit through an opening in the ground sphere of the IEC device…
  • p. 35 …These devices operate with ~ 80- keV D-ion beams using the non-Maxwellian character of the…
  • p. 36 …Two ion sources inject 40-keV deuterium and helium-3 ion beams toward the center of…
  • p. 37 …Indeed in this case fusion is dominated by beam-beam (non- Maxwellian reactions). Also, the dipole…
  • p. 38 …the center potential and consequently allow incoming beam ions to penetrate into the core region. In…
  • p. 39 …Comparison of Analytical and Numerical Estimates of Q-values in a beam-Dominated Solution -- for a…
  • p. 40 …Hora, "Converging Beam Neutron Source for Driving a Sub-critical Fission Reactor", Proceedings, ICONE 8, CD…
  • p. 41 …Namely, the time scale for collisional degradation of the beam-like ion distribution function is crucial…
  • p. 42 …For example, a tightly focused monoenergetic ion beam is in fact a pessimistic scenario, because different…
  • p. 44 …Thus, weak sinks and strong sources will result in a large beam population, increasing the beam…
  • p. 45 …Sketch of Two Opposite Limits of the Beam-Maxwellian Equilibrium. The solid line corresponds to a…
  • p. 46 …injected beam current, average injection energy, energy spread associated with the velocity component in both parallel…
  • p. 47 …As stated in Section I, the current scaling for beam-beam reactions is strictly 12. However…
  • p. 48 …is very encouraging for formation of deep wells in IEC devices designed for reactors using beam…
  • p. 49 …To do this, it is assumed that the electrostatic confinement equilibrium ion beams are proportional to…
  • p. 50 …When an ion beam is hot, the waves excited by the instability are ion acoustic type…
  • p. 51 …Rider was particularly interested in the claim that due to its beam-like non- Maxwellian plasma…
  • p. 52 …Diagram Showing Equipotential Surfaces of the IEC Cathode Grid and Their Focusing Effect on a Beam…
  • p. 59 …of detectors, the detector configuration, the collimated beam size, the acquisition time, and other scan-related…
  • p. 63 …Alternately, for space propulsion, the proton beam, augmented by injection of heavy atoms to increase the…
  • p. 68 …Due to its inherent non-Maxwellian (beam-like) plasma, the IEC is especially well suited for…
  • p. 70 …This configuration is highly non-Maxwellian due to the beam dominated nature of the trapped ions…
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exponents greater than 2. The first suggestion of this was By R. W. Bussard based on
theoretical arguments (see Section 1). Later, PIC studies by M. Ohnishi at Kyoto
University (now at Kansai University) also showed such strong scaling (not covered
here- but see M. Ohnishi in Proceedings of 16th IEEE/NPSS, vol. 2, pp. 1468-1471). The
unanswered question is at what current level this occurs. Future simulations should
address that issue and also examine low angular momentum spread and higher ion
injection energies.
In summary, this study by Tzonev et al. is very encouraging for formation of deep wells
in IEC devices designed for reactors using beam-beam dominated fusion. However,
much more work needs to be done along these lines to fully identify the optimal ion
injection strategy for deep wells with minimum power input. As stressed earlier, the
potential well parameters must also be combined with a consistent calculation of the
energy gain (Q) following the methods of L. Chacon et al. to establish a complete
picture of energy gain possible in a power type IEC.
MOMOTA ET AL. - STUDY OF VIRTUAL ELECTRODE STRUCTURE
In another related study, Momota and Miley (Reference 4.5) used an analytic solution
to examine the angular momentum effects. "Double-well" potential structure (virtual
cathode formation) was studied in a stationary spherical IEC using the nonlinear
Poison's equations and particle densities derived from kinetic theory. A novel method to
obtain a spherically symmetric stationary distribution function is introduced and an
integral-differential equation is simplified by applying a relevant approximated formula
for an integral. Electron and ion beams are collision-free, and their velocities are
roughly aligned toward the spherical center, but with a slight divergence. Analyses
show that the angular momentum of ions and the smaller one of the electrons create a
virtual cathode, i.e., a double-well structure, of the electrostatic potential on a potential
hill near the center. The density limit of an IEC well was found and the conditions
relevant to form a deep potential well was presented.
These results show trends roughly similar to the numerical studies of Tzonev, et al.,
and may be useful to persons wanting to study the effects analytically.
KIM - STABILITY ANALYSIS
In addition to achieving adequate potential well trapping for net energy production, the
question of stability of the non-Maxwellian plasma in the well must be considered.
(Note that "stability" is a separate question from the thermalization of the beam-like
distribution in the IEC discussed earlier. However, they are coupled nonlinear problems
due to the fact that the distribution function used for both calculations should be
consistent). N. Krall did some earlier studies to show that the distribution in the R.W.
Bussard type Polywell IEC are stable against key instabilities such as two-stream. These
studies however, were internal company reports and not openly published. Some
information is given, however, in Reference 1.7. More recently, H.J. Kim, in his thesis
done with G. Miley, did an in-depth study of two stream-like instabilities in the ion-
injected type IEC (see Reference 4.6). His work is very encouraging in that he identifies
a possible "window of stability" which depends on the injected energy distribution and
angular velocity spread. This result is summarized in Figure 4.10. The analysis is briefly
described as follows.
41
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Report, from the dia collection. The PDF is mirrored here; the original link is under it. 72 pages are in the text index: search them above, or from the library's search.