SUMMARYTime-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.

SUMMARYThis paper describes analyses of the electric fields induced in two eccentrically arranged spherical conductors by a uniform ELF magnetic field, utilizing the equivalent multipolar-moment method with re-expansion (RE-EMMM). Although an approximation formula has already been derived by Tarao for this situation, it is limited to a first-order approximation. Here we mathematically derive a general form of the governing linear equations for unknown multipole and local coefficients. We also derive the first-, second-, and third-order electric field formulae by manually solving the linear equations. We confirm that the accuracy of the first-order formula is almost the same as that of Tarao's. The accuracies of the second-and third-order formulae are confirmed to be more precise.

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