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

This paper introduces and establishes a quasi-three-dimensional physical model of the interaction between a laser and a 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 formulae for key parameters (e.g., temperature, density and scale length) in the corona region under certain conditions are given. The analytical solutions agree well with the relevant results of computational hydrodynamics simulation. For constant laser irradiation, the analytical solutions provide a meaningful power-law scaling relationship. The model provides a set of mathematical and physical tools that give theoretical support for adjusting parameters in experiments.