Possible Structures of Sprites

TL;DR

This paper explores theoretical electromagnetic field configurations that resemble natural sprite patterns, deriving stationary solutions from Maxwell's equations that exhibit complex, helical, and column-like structures.

Contribution

It introduces new stationary electromagnetic solutions with specific patterns, linking mathematical physics to natural sprite phenomena.

Findings

Demonstrates dendritic and jellyfish-like sprite patterns

Derives stationary solutions from Maxwell's equations

Shows helical and column-like electromagnetic structures

Abstract

Upon using the hydrodynamic analog we can derive some families of stationary Beltrami field-like solutions from the free Maxwell equations in vacuum. These stationary electromagnetic fields are helical and/or column-like once they are represented in a suitable frame of reference. Possible dendritic and jelly-fish-like patterns of sprites are demonstrated.