, Volume 14, Issue 4, pp 271–287 | Cite as

Imploding shocks in laser-driven fusion

  • S V Lawande
  • M R Gunye
  • S V G Menon
Plasma Physics


The role of a sequence of imploding spherical and cylindrical shocks is investigated in the context of laser-driven fusion in deuterium-tritium pellets. An approximate analytical treatment of a convergent sequence of shocks is presented within the framework of gas-dynamic equations for self-similar motion. These analytical solutions are compared with the exact numerical solutions. The solutions display an explicit dependence on the relative strength between the successive shocks and the ratio of the final to the initial pressure in the shocks. These solutions are employed to estimate the fusion yield for a given input shock energy.


Imploding shocks gas dynamics self-similar motion laser-driven fusion 


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  1. Brueckner K A and Jorna S 1974Rev. Mod. Phys. 46 325CrossRefADSGoogle Scholar
  2. Chavda L K 1977Phys. Lett. A63 316ADSGoogle Scholar
  3. Chavda L K and Jha S S 1978Pramāna 10 429CrossRefADSGoogle Scholar
  4. Fujimoto Y and Mishkin E A 1978Phys. Fluids 21 1933MATHCrossRefADSGoogle Scholar
  5. Goldman E B 1973Plasma Phys. 15 289CrossRefADSGoogle Scholar
  6. Guderley G 1942Luftfahrt-Forsch. 19 302MathSciNetGoogle Scholar
  7. Jha S S and Chavda L K 1977Phys. Rev. A15 1289ADSGoogle Scholar
  8. Murphy G M 1960Ordinary differential equations and their solutions (New York: van Nostrand)MATHGoogle Scholar
  9. Nuckolls J, Wood L, Thiessen A and Zimmermann G 1972Nature (London) 239 139CrossRefADSGoogle Scholar
  10. Somon J P, Linhart J G and Knoepfel H 1962Nucl. Fusion Suppl. Part 2 717Google Scholar
  11. Zeldovich Y B and Raizer Y P 1967Physics of shock waves and high temperature phenomena (New York: Academic Press) Vol. 2, Ch. 12Google Scholar

Copyright information

© Indian Academy of Sciences 1980

Authors and Affiliations

  • S V Lawande
    • 1
  • M R Gunye
    • 1
  • S V G Menon
    • 1
  1. 1.Theoretical Reactor Physics SectionBhabha Atomic Research CentreTrombay, BombayIndia

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