Modeling the change in electric potential due to lightning in one-dimensional space

Abstract

The change in electric potential as a result of lightning in a one-dimensional domain is evaluated. Eigenfunctions are used to evaluate the new potential. The change in the electric potential is a constant along the lightning channel, and it is the same as the pre-flash potential outside the channel. The governing equation for the electric potential is obtained from Maxwell's equations.

Keywords:

• Lightning
• electric potential
• Maxwell's equations
• eigenfunction expansions

2010 Mathematics Subject Classifications:

• 35J25
• 35Q60
• 35P10

Acknowledgments

Author would like to thank the reviewers for their comments and suggestions which led to a more precise paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).