Abstract

The generation of an electromagnetic field in a region with a perfectly conducting boundary by a long duration pulse of ionizing radiation is considered. The problem of calculating the field by numerically solving the complete system of Maxwell equations is posed. The approximations of the large and small radiation conductivity of the medium in the region are formulated. Analytical estimates of the solution of Maxwell’s equations are constructed for approximations in simplified formulations. By analyzing them, methods for calculating the electromagnetic field in a model based on the Maxwell equations in the full formulation are substantiated. An approach to modeling the field in the formulations that require an unacceptable number of computation for the stable solution of the Maxwell difference equations is proposed. The approach makes it possible to simulate the generation of an electromagnetic field by radiation from outer space in apparatus blocks using programs that solve Maxwell’s equations in a complete formulation.

中文翻译：

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基于麦克斯韦方程的静态电磁场建模

摘要

考虑了通过电离辐射的长时脉冲在具有完美导电边界的区域中产生电磁场。提出了通过数值求解麦克斯韦方程组的完整系统来计算场的问题。公式化了该区域中介质的大和小辐射电导率的近似值。麦克斯韦方程组解的分析估计是为简化公式中的近似值而构造的。通过对它们的分析，证实了在完整配方中基于麦克斯韦方程组计算模型中电磁场的方法。提出了一种对配方中的字段进行建模的方法，该方法对于麦克斯韦差分方程的稳定解需要不可接受的计算数量。