Premium
Time‐harmonic electromagnetic field analysis in multisphere model by Gumerov's method of two scalar potentials
Author(s) -
Hamada Shoji,
Masutani Keigo,
Kobayashi Tetsuo
Publication year - 2011
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.21224
Subject(s) - multipole expansion , physics , plane wave , dipole , electromagnetic field , scalar (mathematics) , scalar field , harmonic , quantum electrodynamics , field (mathematics) , computational physics , magnetic field , mathematical analysis , mathematical physics , mathematics , quantum mechanics , geometry , pure mathematics
Time‐harmonic electromagnetic fields in multisphere models were calculated by the method of two scalar potentials proposed by Gumerov. The analyzed models were an eccentric two‐sphere model and a ten‐sphere model including the brain core and a pair of eyeballs. The applied fields were a plane wave and a dipole magnetic field, and the frequency was 1.8 or 2.0 GHz. The truncation degree p of the multipole and local expansion had values of up to 170 to 200. The peak power density on the x – y plane and the absorbed power in each tissue almost monotonically converged as p increased. These results demonstrate the usefulness of Gumerov's method. © 2011 Wiley Periodicals, Inc. Electr Eng Jpn, 178(2): 1–10, 2012; Published online in Wiley Online Library ( wileyonlinelibrary.com ). DOI 10.1002–eej.21224