Several approaches to Inertial Confinement Fusion (ICF), including double-shell, pushered-single-shell, and the Revolver designs, have fuel surrounded by pushers made from high-Z materials. An advantage of these designs is that radiation emitted by the hot fuel will be absorbed and re-radiated into the fuel to reduce cooling. This process is referred to as radiation-trapping, and it lowers the fuel temperature required for ignition. To elucidate the physics of radiation trapping, a simplified model comprising a set of coupled differential equations has been developed to model the arbitrary time-dependent wall temperature from the Hammer and Rosen solution [J. H. Hammer and M. D. Rosen, Phys. Plasmas 10, 1829 (2003)] to a Marshak wave. The derivation of the model and a set of analytical power-law solutions will be presented. A discussion on numerical implementation of the differential equations into a model for burn in ICF capsules is also included.

中文翻译：

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高阻抗推杆的辐射加热模型

惯性约束聚变 (ICF) 的几种方法，包括双壳、单壳推进和左轮手枪设计，燃料被高Z材料制成的推进器包围。这些设计的一个优点是热燃料发出的辐射将被吸收并重新辐射到燃料中以减少冷却。这个过程被称为辐射捕集，它降低了点火所需的燃料温度。为了阐明辐射俘获的物理学，已经开发了一个包含一组耦合微分方程的简化模型来模拟来自 Hammer 和 Rosen 解的任意随时间变化的壁温 [JH Hammer 和 MD Rosen，Phys. Plasmas 10, 1829 (2003)] 到 Marshak 波。将介绍模型的推导和一组分析幂律解决方案。