(IF/P-06) Implosion Scaling and Hydrodynamically Equivalent Target Design - Strategy for Proof of Principle of High Gain Inertial Confinement Fusion -

**Abstract.** Scaling laws for hydrodynamically similar implosions are derived
by applying the Lie group analysis to the given set of partial differential
equations for the hydrodynamic system. Physically this implies that any
fluid system belonging to a common similarity group evolves quite in the
same manner including hydrodynamic instabilities. The scalings strongly
depend on the description of the energy transport mechanism, i.e., whether
the fluid system is heat conductive or adiabatic. It has been also found
that the property of the hydrodynamically equivalent implosion is most
likely kept under a specific condition even when the system is cooperated
with such other sources as classical laser absorption, hot electrons, local
alpha deposition, and bremsstrahlung loss. The results will give the basis
of the target fabrication and diagnostics for the project - fast ignition
realization experiments (FIREX :
E_{L} = 60 kJ,
= 0.35 m,
N_{B} = 92 beams).

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*IAEA 2003*