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This paper addressed the lightning-induced electromagnetic field issue. The relationship between Uman’s formulas and Jefimenko’s equation is derived. Unlike Uman’s formulas requiring only the pre-given current distribution, Jefimenko’s equations require both the current and charge distribution. Thus, a discretization algorithm for the lightning channel engineering model is proposed. The simulation results show the accuracy of Jefimenko’s equation is relatively higher at large spatial discrete sizes. At the same time, the phenomenon of oscillation is observed in the electric field predicted by Uman’s formulas when using large discrete size.

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A Comparison Between Lightning-Induced Electric Field Using Uman’s Formulas and Jefimenko’s Equation

  • 会议论文

  • 发表日期：

    2025年

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  • Zhentao Du,
  • Xiaobing Xiao,
  • Song Zhang,
  • Xiaomeng He,
  • Yongxiang Cai,
  • Yue Li

摘要

This paper addressed the lightning-induced electromagnetic field issue. The relationship between Uman’s formulas and Jefimenko’s equation is derived. Unlike Uman’s formulas requiring only the pre-given current distribution, Jefimenko’s equations require both the current and charge distribution. Thus, a discretization algorithm for the lightning channel engineering model is proposed. The simulation results show the accuracy of Jefimenko’s equation is relatively higher at large spatial discrete sizes. At the same time, the phenomenon of oscillation is observed in the electric field predicted by Uman’s formulas when using large discrete size.