Analysis of Electric Field Induced by ELF Magnetic Field Utilizing Generalized Equivalent Multipole-Moment Method

• Hamada Shoji

  Kyoto University

• Yamamoto Osamu

  Kyoto University

• Kobayashi Tetsuo

  Kyoto University

Bibliographic Information

Other Title

• 等価多重極モーメント法の拡張と低周波磁界誘導電界計算への応用
• トウカ タジュウキョク モーメントホウ ノ カクチョウ ト テイシュウハ ジカイ ユウドウ デンカイ ケイサン エ ノ オウヨウ

Abstract

This paper presents a generalized equivalent multipole-moment method for calculating three-dimensional Laplacian fields in multi-spherical system. The Greengard & Rokhlin's M2M, M2L, and L2L formulae enable the multipole-moment method to calculate the fields in general arrangement of multi-spheres, which involve exclusive and multi-layered spherical arrangement. We applied this method to electric field calculation in biological structures induced by ELF magnetic fields. The induced electric fields in a three eccentric and exclusive spheres system, which models human head with two eyeballs, are calculated under the application of homogeneous and magnetic-dipole fields. The validity of this method is successfully confirmed by comparing the calculated fields with those by the fast-multipole surface-charge-simulation method.

Journal

• IEEJ Transactions on Fundamentals and Materials

  IEEJ Transactions on Fundamentals and Materials 125 (6), 533-543, 2005

  The Institute of Electrical Engineers of Japan

Keywords

• ELF magnetic field
• induced electric field
• magnetic dipole
• Laplace equation
• multipole expansion
• local expansion

Details

• CRID: 1390282679571599488
• NII Article ID: 10015676613
• NII Article ID: 30011541360
• NII Book ID: AN10136312
• DOI: 10.1541/ieejfms.125.533
• ISSN: 13475533
• ISSN: 03854205
• NDL BIB ID: 7384382
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7384382
• Web Site: https://www.jstage.jst.go.jp/article/ieejfms/125/6/125_6_533/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed