A Taxonomy of Magnetostatic Field Lines
Joel Franklin, David Griffiths, Darrell Schroeter
TL;DR
This paper explores the topological structures of magnetostatic field lines, challenging the common belief that they are usually closed loops, and investigates the current configurations that produce various field line topologies.
Contribution
The paper provides a taxonomy of magnetostatic field line topologies and analyzes the current configurations that generate different field line structures.
Findings
Magnetostatic field lines are not generally closed loops.
Certain current configurations produce specific topologies.
The paper classifies possible field line topologies.
Abstract
Contrary to widespread belief, magnetostatic field lines do not ordinarily form closed loops. Why, then, are they in fact closed for so many familiar examples? What other topologies are possible, and what current configurations generate them?
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Taxonomy
TopicsElectromagnetic Simulation and Numerical Methods · Geophysical and Geoelectrical Methods · Geophysics and Sensor Technology