中文摘要：

研究了螺线管型爆磁压缩发生器中金属套筒的一维磁扩散模型，分别导出了不同边界条件下的近似解析表达式，分析了瞬态磁场分布的特点，指出了经典趋肤深度计算公式的高频局限性，得出了能够同时反映高频与低频特性的磁场分布与相应趋肤深度的近似解析结果．

英文摘要：

An analytical scheme for the initial transient process in a simple helical flux compression generator, which includes distribution of the magnetic field in the hollow of the armature and current density in the helical stator, is derived with diffusion equations. The relationship among frequency of conducting current,roots of the characteristic Bessel equation and decay time in the armature is discussed. The skin depth in the helical stator is calculated and is compared with an approximation wMely used in the magnetic diffusion process. Our analytical result is helpful to understand mechanism of the loss of magnetic flux in both armature and stator and makes significant suggestions to optimal designing performance of the helical flux compression generator.