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The one‐dimensional motion generated in a cold, infinite, uniform plasma of density n0 by the absorption, in a certain plane, of a linear pulse of energy per unit time and area φ=φ0t/τ, 0<t⩽τ, is considered; the analysis allows for thermal conduction and viscosity of ions and electrons, their energy exchange, and an electron heat flux limiter. The resulting motion is self‐similar and governed by a single nondimensional parameter α∝ (n02τ/φ0)2/3. Detailed asymptotic results are obtained for both α≪1 and α≫1; the general behavior of the solution for arbitrary α is discussed. The analysis can be extended to the case of a plasma initially occupying a half‐space, and throws light on how to optimize the hydrodynamics of laser fusion plasmas. Known approximate results corresponding to motion of a plasma submitted to constant irradiation (φ) are recovered in the present work under appropriate limiting processes.

Self-similar motion of laser fusion plasmas. Absorption in an unbounded plasma