A General Method for Calculating the External Magnetic Field from a Cylindrical Magnetic Source using Toroidal Functions

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An alternative method is developed to compute the magnetic field from a circular cylindrical magnetic source. Specifically, a Fourier series expansion whose coefficients are toroidal functions is introduced which yields an alternative to the more familiar spherical harmonic solution or the Elliptic integral solution. This alternate formulation coupled with a method called charge simulation allows one to compute the external magnetic field from an arbitrary magnetic source in terms of a toroidal expansion. This expansion is valid on any finite hypothetical external observation cylinder. In other words, the magnetic scalar potential or the magnetic field intensity is computed on a ... continued below

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Selvaggi, J; Salon, S & Chari, O Kwon CVK February 14, 2006.

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An alternative method is developed to compute the magnetic field from a circular cylindrical magnetic source. Specifically, a Fourier series expansion whose coefficients are toroidal functions is introduced which yields an alternative to the more familiar spherical harmonic solution or the Elliptic integral solution. This alternate formulation coupled with a method called charge simulation allows one to compute the external magnetic field from an arbitrary magnetic source in terms of a toroidal expansion. This expansion is valid on any finite hypothetical external observation cylinder. In other words, the magnetic scalar potential or the magnetic field intensity is computed on a exterior cylinder which encloses the magnetic source. This method can be used to accurately compute the far field where a finite element formulation is known to be inaccurate.

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466 Kb

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  • Report No.: LM-06K007
  • Grant Number: DE-AC12-00SN39357
  • DOI: 10.2172/881294 | External Link
  • Office of Scientific & Technical Information Report Number: 881294
  • Archival Resource Key: ark:/67531/metadc875430

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • February 14, 2006

Added to The UNT Digital Library

  • Sept. 21, 2016, 2:29 a.m.

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  • Feb. 16, 2017, 6:46 p.m.

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Selvaggi, J; Salon, S & Chari, O Kwon CVK. A General Method for Calculating the External Magnetic Field from a Cylindrical Magnetic Source using Toroidal Functions, report, February 14, 2006; Niskayuna, NY. (digital.library.unt.edu/ark:/67531/metadc875430/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.