Title :
Fast multipole method for micromagnetic simulation of periodic systems
Author :
Apalkov, D.M. ; Visscher, P.B.
Author_Institution :
Dept. of Phys., Univ. of Alabama, Tuscaloosa, AL, USA
Abstract :
We have developed a new method for computing the magnetostatic field of an infinite array of images of an arbitrary system of charges or multipoles. The result takes the form of a Taylor expansion of the potential of a "cored array" of distant images, as is required by the fast multipole method, the most efficient method known for calculating magnetostatic fields in very large systems. The new method is much faster and simpler to implement than the usual Ewald summation or fast Fourier transform, and does not require a regular grid inside the central cell.
Keywords :
arrays; boundary-value problems; computational electromagnetics; inhomogeneous media; iterative methods; magnetic fields; magnetostatics; micromagnetics; Taylor expansion; arbitrary system; charges; cored array; fast multipole method; infinite array of images; iterative method; long-range interaction; magnetostatic field; micromagnetic simulation; periodic boundary conditions; Boundary conditions; Computational modeling; Fast Fourier transforms; Helium; Lattices; Magnetostatics; Micromagnetics; Poisson equations; Taylor series; Transistors;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.819461
