Quasi-three-dimensional hydrodynamics of the corona region of laser irradiation of a slab

Abstract

This paper introduces and establishes a quasi-three-dimensional physical model of the interaction between laser and slab target. In contrast to previous one-dimensional analytical models, this paper innovatively fits the real laser conditions, based on an isothermal, homogeneous expansion similarity solution of the ideal hydrodynamic equations, using this simple model, the evolution law and analytical formula of key parameters (e.g., temperature, density, and scale length) in the corona region under certain conditions are given. The analytical solution agrees well with the relevant computational hydrodynamics simulation results. For constant laser irradiation, the analytical solution provides a meaningful power-law scaling relationship. The model provides a set of mathematical and physical tools that provide theoretical support for adjusting parameters in experiments.