Journal of Fusion Energy

, Volume 37, Issue 2–3, pp 111–119 | Cite as

Numerical Analysis of the Effect of Infrared Radiation on Cryogenic Inertial Confinement Fusion Targets

  • Xiaoxue Wu
  • Yongjian Tang
  • Yong Yi
  • Xiaobo Qi
Original Research


The present work applies the finite element method to calculate the maximum allowable time that cryogenic inertial confinement fusion (ICF) targets can be exposed to infrared radiation (IR). Hence, a 3-D numerical model integrated with discrete coordinate radiation model was developed to investigate the influence of transmittance of the laser entrance holes (LEHs) and boundary conditions on the temperature field distribution and the maximum DT layer deterioration time for CH, Be, and diamond capsules. Our study shows that introducing such a radiation model can accurately obtain more detailed spatial and temporal distribution information in the ICF targets. The simulation results demonstrate that the Be and diamond capsules provided much better temperature field homogenization than the CH capsule under equivalent boundary conditions, but the CH capsule was heated more by IR radiation than the Be and diamond. In addition, the maximum DT layer deterioration time was significantly increased to 3 s when decreasing the transmittance of the LEH from 0.2 to 0.01. However, either reducing the capsule IR absorption or increasing the inner hohlraum IR absorption demonstrated no conclusive increase in the maximum DT layer deterioration time. These results are expected to provide useful parameters in the design of cryogenic targets and shroud systems.


ICF target Thermal infrared radiation DT layer deterioration time Cryogenic shroud 


  1. 1.
    P.W. McKenty, V.N. Goncharov, P.J. TownR et al., Analysis of a direct-drive ignition capsule designed for the National Ignition Facility. Phys. Plasmas 8(5), 2315–2322 (2001)ADSCrossRefGoogle Scholar
  2. 2.
    G. Moll, P. Baclet, M. Martin, Recent result in thermal and hydrodynamic simulations of cryogenic target for LMJ. Fusion Sci. Technol. 49(4), 574–580 (2006)CrossRefGoogle Scholar
  3. 3.
    R.A. London, J.D. Moody, J.J. Sanchez et al., Thermal infrared exposure of cryogenic indirect drive ICF targets. Fusion Sci. Technol. 49(4), 581–587 (2006)CrossRefGoogle Scholar
  4. 4.
    S. Haan, J.D. Lindl, D.A. Callahan et al., Point design targets, specifications, and requirements for the 2010 ignition campaign on the National Ignition Facility. Phys. Plasmas 18(5), 051001 (2011)ADSCrossRefGoogle Scholar
  5. 5.
    E.T. Alger, J. Kroll, E.G. Dzenitis et al., NIF target assembly metrology methodology and results. Fusion Sci. Technol. 59(1), 78–86 (2011)CrossRefGoogle Scholar
  6. 6.
    G. Hartwig, Polymer Properties at Room and Cryogenic Temperatures. International Cryogenics Monograph (Springer, Berlin, 1994)CrossRefGoogle Scholar
  7. 7.
    J. Biener, P.B. Mirkarimi, J.W. Tringe et al., Diamond ablators for inertial confinement fusion. Fusion Sci. Technol. 49(4), 737–742 (2006)CrossRefGoogle Scholar
  8. 8.
    G. Ahlers, Heat capacity of beryllium below 30°K. Phys. Rev. 145(2), 419–423 (1966)ADSCrossRefGoogle Scholar
  9. 9.
    P.C. Souers, Hydrogen Properties for Fusion Energy (University of California Press, Berkeley, 1986)Google Scholar
  10. 10.
    R. Cook, M. Anthamatte, S. Letts, A. Nikroo, D. Czechowicz, IR absorptive properties of plastic materials used in ICF capsules. Fusion Sci. Technol. 45, 148 (2004)CrossRefGoogle Scholar
  11. 11.
    M. Bass, C. Decusatis, J. Enoch, et al., Handbook of Optics, Volume II: Design, Fabrication and Testing, Sources and Detectors, Radiometry and Photometry, 3rd edn. (McGraw-Hill, Inc., New York, 2009)Google Scholar
  12. 12.
    J. Biener, D.D. Ho, C. Wild et al., Diamond spheres for inertial confinement fusion. Nucl. Fusion 49, 112001 (2009)ADSCrossRefGoogle Scholar
  13. 13.
    E.D. Palik, Handbook of Optical Constants of Solids (Academic Press, Cambridge, 1985)Google Scholar
  14. 14.
    K.D. Lathrop, Use of discrete-ordinate methods for solution of photon transport problems. Nucl. Sci. Eng. 24(4), 381–388 (1996)CrossRefGoogle Scholar
  15. 15.
    L.H. Liu, Q.Z. Yu, L.M. Ruan et al., Discrete ordinate solutions of radiative transfer equation. Chin. J. Comput. Phys. 3, 15 (1998)Google Scholar
  16. 16.
    A.S. Jamaluddin, P.J. Smith, Discrete ordinates solution of radiative transfer equation in nonaxisymmetric cylindrical enclosures. J. Thermophys. Heat Transfer 6(2), 242–245 (1992)ADSCrossRefGoogle Scholar
  17. 17.
    O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method (Osborne McGraw-Hill, New York, 2008)zbMATHGoogle Scholar
  18. 18.
    D.N. Bittner, G.W. Collins, J.D. Sater, Generating low temperature layers with ir heating. Fusion Sci. Technol. 44(4), 749–755 (2003)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute of Science and EngineeringSouthwest University of Science and TechnologyMianyangChina
  2. 2.Research Center of Laser FusionChina Academy of Engineering PhysicsMianyangChina

Personalised recommendations