Analysis of electric field induced by ELF magnetic field utilizing generalized equivalent multipole-moment method

• Published in: Electrical engineering in Japan Vol. 156; no. 2; pp. 1 - 14
• Main Authors: Hamada, Shoji, Yamamoto, Osamu, Kobayashi, Tetsuo
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 30.07.2006
• Subjects: ELF magnetic field; induced electric field; Laplace equation; local expansion; magnetic dipole; multipole expansion
• ISSN: 0424-7760; 1520-6416
• DOI: 10.1002/eej.20342

This paper presents a generalized equivalent multipole‐moment method for calculating three‐dimensional Laplacian fields in a multispherical system. Greengard and Rokhlin's M2M, M2L, and L2L formulas enable the multipole‐moment method to calculate the fields in general arrangement of multispheres, which involve exclusive and multilayered spherical arrangement. We applied this method to electric field calculation in biological structures induced by ELF magnetic fields. The induced electric fields in a system of three eccentric and exclusive spheres, which models the 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. © 2006 Wiley Periodicals, Inc. Electr Eng Jpn, 156(2): 1–14, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.20342