Analytical Treatment of Hollow Toroid Flux Tubes

Abstract

Stray flux tubes around cylindrical poles are commonlymodelled starting from the results for planar flux tubesusing the circumference of the cylinder as depth. Whilethis is a tried and tested approach, we here discussanalytical expressions using the actual axisymmetricgeometry of a fraction of a hollow torus and compare theirresults to those of the accepted approach.