A note on Maxwell's theory of poles

  • Authors:

  • Ji-Cheng Shao;Yozo Hamano;Michael Bevis

  • Affiliations:

  • Department of Earth and Planetary Sciences, University of Tokyo, 7-3-1 Hongo, Tokyo 1130033, Japan;Department of Earth and Planetary Sciences, University of Tokyo, 7-3-1 Hongo, Tokyo 1130033, Japan;HIGP/SOEST, University of Hawaii, USA

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2005

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Abstract

We prove that l successive directional differentiations in Maxwell's theory of poles can be equivalently expressed as a summation of 2^l-1 degree-l zonal harmonics oriented along 2^l-1 axes. These axes are the Maxwell axes and their combinations. This expression suggests a new method of computing the Maxwell axes and the moment without explicit evaluation of differential forms.