Inferring fuel areal density from secondary neutron yields in laserdriven magnetized liner inertial fusion
Abstract
A technique to infer the areal density ρR of compressed deuterium (D) in cylindrical implosions from the ratio of secondary D–T (deuterium–tritium) neutrons to primary D–D neutrons is described and evaluated. For ρR to be proportional to the ratio of D–T to D–D yield, the increase in the D–T fusion cross section with collisional slowing of the tritium must be small, requiring where TkeV is the electron temperature in keV. The technique is applied to results from laserdriven magnetized liner inertial fusion (MagLIF) targets on OMEGA, where ρR is certainly less than 4 mg/cm^{2}. OMEGA MagLIF targets do not achieve a sufficiently high, radially integrated, axial magnetic field BR to confine the tritium, as occurs in Z MagLIF targets, because they are ~10× smaller in radius. The inferred areal densities show that fuel convergence is reduced by preheating, by an applied axial magnetic field, and by increasing the initial fuel density, which are key features of the MagLIF scheme. The results are compared with 1D and 2D magnetohydrodynamic simulations for nominal laser and target parameters, which predict areal densities 2× to 3× higher than the measurements.
 Authors:

 Univ. of Rochester, NY (United States). Lab. for Laser Energetics
 Publication Date:
 Research Org.:
 Laboratory for Laser Energetics, University of Rochester
 Sponsoring Org.:
 USDOE Advanced Research Projects Agency  Energy (ARPAE)
 Contributing Org.:
 Laboratory for Laser Energetics, University of Rochester
 OSTI Identifier:
 1498079
 Report Number(s):
 2018304, 1490, 2429
Journal ID: ISSN 1070664X; 2018304, 1470, 2429
 Grant/Contract Number:
 NA0003856
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 26; Journal Issue: 2; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
Citation Formats
Davies, J. R., Barnak, D. H., Betti, R., Campbell, E. M., Glebov, V. Yu., Hansen, E. C., Knauer, J. P., Peebles, J. L., and Sefkow, A. B. Inferring fuel areal density from secondary neutron yields in laserdriven magnetized liner inertial fusion. United States: N. p., 2019.
Web. doi:10.1063/1.5082960.
Davies, J. R., Barnak, D. H., Betti, R., Campbell, E. M., Glebov, V. Yu., Hansen, E. C., Knauer, J. P., Peebles, J. L., & Sefkow, A. B. Inferring fuel areal density from secondary neutron yields in laserdriven magnetized liner inertial fusion. United States. doi:10.1063/1.5082960.
Davies, J. R., Barnak, D. H., Betti, R., Campbell, E. M., Glebov, V. Yu., Hansen, E. C., Knauer, J. P., Peebles, J. L., and Sefkow, A. B. Mon .
"Inferring fuel areal density from secondary neutron yields in laserdriven magnetized liner inertial fusion". United States. doi:10.1063/1.5082960. https://www.osti.gov/servlets/purl/1498079.
@article{osti_1498079,
title = {Inferring fuel areal density from secondary neutron yields in laserdriven magnetized liner inertial fusion},
author = {Davies, J. R. and Barnak, D. H. and Betti, R. and Campbell, E. M. and Glebov, V. Yu. and Hansen, E. C. and Knauer, J. P. and Peebles, J. L. and Sefkow, A. B.},
abstractNote = {A technique to infer the areal density ρR of compressed deuterium (D) in cylindrical implosions from the ratio of secondary D–T (deuterium–tritium) neutrons to primary D–D neutrons is described and evaluated. For ρR to be proportional to the ratio of D–T to D–D yield, the increase in the D–T fusion cross section with collisional slowing of the tritium must be small, requiring where TkeV is the electron temperature in keV. The technique is applied to results from laserdriven magnetized liner inertial fusion (MagLIF) targets on OMEGA, where ρR is certainly less than 4 mg/cm2. OMEGA MagLIF targets do not achieve a sufficiently high, radially integrated, axial magnetic field BR to confine the tritium, as occurs in Z MagLIF targets, because they are ~10× smaller in radius. The inferred areal densities show that fuel convergence is reduced by preheating, by an applied axial magnetic field, and by increasing the initial fuel density, which are key features of the MagLIF scheme. The results are compared with 1D and 2D magnetohydrodynamic simulations for nominal laser and target parameters, which predict areal densities 2× to 3× higher than the measurements.},
doi = {10.1063/1.5082960},
journal = {Physics of Plasmas},
number = 2,
volume = 26,
place = {United States},
year = {2019},
month = {2}
}
Web of Science
Works referenced in this record:
Using nuclear data and Monte Carlo techniques to study areal density and mix in D2 implosions
journal, March 2005
 Kurebayashi, S.; Frenje, J. A.; Séguin, F. H.
 Physics of Plasmas, Vol. 12, Issue 3
Design of magnetized liner inertial fusion experiments using the Z facility
journal, July 2014
 Sefkow, A. B.; Slutz, S. A.; Koning, J. M.
 Physics of Plasmas, Vol. 21, Issue 7
Improved formulas for fusion crosssections and thermal reactivities
journal, April 1992
 Bosch, H. S; Hale, G. M.
 Nuclear Fusion, Vol. 32, Issue 4
Pulsedpowerdriven cylindrical liner implosions of laser preheated fuel magnetized with an axial field
journal, May 2010
 Slutz, S. A.; Herrmann, M. C.; Vesey, R. A.
 Physics of Plasmas, Vol. 17, Issue 5
Understanding Fuel Magnetization and Mix Using Secondary Nuclear Reactions in MagnetoInertial Fusion
journal, October 2014
 Schmit, P. F.; Knapp, P. F.; Hansen, S. B.
 Physical Review Letters, Vol. 113, Issue 15
Laser entrance window transmission and reflection measurements for preheating in magnetized liner inertial fusion
journal, June 2018
 Davies, J. R.; Bahr, R. E.; Barnak, D. H.
 Physics of Plasmas, Vol. 25, Issue 6
Experimental Demonstration of FusionRelevant Conditions in Magnetized Liner Inertial Fusion
journal, October 2014
 Gomez, M. R.; Slutz, S. A.; Sefkow, A. B.
 Physical Review Letters, Vol. 113, Issue 15
The importance of electrothermal terms in Ohm's law for magnetized spherical implosions
journal, November 2015
 Davies, J. R.; Betti, R.; Chang, P. Y.
 Physics of Plasmas, Vol. 22, Issue 11
Neutron spectra from inertial confinement fusion targets for measurement of fuel areal density and charged particle stopping powers
journal, September 1987
 Cable, M. D.; Hatchett, S. P.
 Journal of Applied Physics, Vol. 62, Issue 6
A new simple formula for fusion crosssections of light nuclei
journal, November 2008
 Li, Xing Z.; Wei, Qing M.; Liu, Bin
 Nuclear Fusion, Vol. 48, Issue 12
Measuring implosion velocities in experiments and simulations of laserdriven cylindrical implosions on the OMEGA laser
journal, April 2018
 Hansen, E. C.; Barnak, D. H.; Betti, R.
 Plasma Physics and Controlled Fusion, Vol. 60, Issue 5
Three‐dimensional simulations of Nova high growth factor capsule implosion experiments
journal, May 1996
 Marinak, M. M.; Tipton, R. E.; Landen, O. L.
 Physics of Plasmas, Vol. 3, Issue 5
Improved formulas for fusion crosssections and thermal reactivities
journal, December 1993
 Bosch, H. S; Hale, G. M.
 Nuclear Fusion, Vol. 33, Issue 12
Laserdriven magnetized liner inertial fusion on OMEGA
journal, May 2017
 Barnak, D. H.; Davies, J. R.; Betti, R.
 Physics of Plasmas, Vol. 24, Issue 5
Experimental determination of fuel density‐radius product of inertial confinement fusion targets using secondary nuclear fusion reactions
journal, September 1986
 Azechi, H.; Miyanaga, N.; Stapf, R. O.
 Applied Physics Letters, Vol. 49, Issue 10
Optimization of laserdriven cylindrical implosions on the OMEGA laser
journal, December 2018
 Hansen, E. C.; Barnak, D. H.; Chang, P. Y.
 Physics of Plasmas, Vol. 25, Issue 12
Laserdriven magnetized liner inertial fusion
journal, June 2017
 Davies, J. R.; Barnak, D. H.; Betti, R.
 Physics of Plasmas, Vol. 24, Issue 6
Fusion Cross Section of $${\mathrm{T(d,n)}}^{4}{\mathrm{He}}$$ T ( d , n ) 4 He and $${}^{3}{\mathrm{He(d,p)}}^{4}{\mathrm{He}}$$ 3 He ( d , p ) 4 He Reactions by Four Parameters Formula
journal, July 2016
 Koohrokhi, T.; Izadpanah, A. M.; Hosseini, S. K.
 Journal of Fusion Energy, Vol. 35, Issue 6
Threedimensional HYDRA simulations of National Ignition Facility targets
journal, May 2001
 Marinak, M. M.; Kerbel, G. D.; Gentile, N. A.
 Physics of Plasmas, Vol. 8, Issue 5