- Open Access
Self-similar multishock implosions for ultrahigh compression of matter
Phys. Rev. E 112, 055206 – Published 17 November, 2025
DOI: https://doi.org/10.1103/bbvn-x95v
Abstract
We present a class of self-similar solutions describing ultrahigh compression of a uniform-density target by spherically converging, stacked shock waves. Extending the classical Guderley model, we derive a scaling law for the final density of the form , where is the number of shocks, the stage pressure ratio, and a numerical exponent determined by the adiabatic index . One-dimensional hydrodynamic simulations confirm the validity of this scaling across a broad parameter range. Notably, the relation remains accurate even in the strongly nonlinear regime up to , well beyond the perturbative limit, highlighting the robustness and practical relevance of the model. Owing to its volumetric geometry, this compression scheme inherently avoids the Rayleigh-Taylor instability, which typically compromises shell-based implosions, and thereby establishes a theoretical benchmark for instability-free compression in inertial confinement fusion.
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