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There has been an increasing technological interest on magnetic thin filmscontaining antidot arrays of hexagonal or square symmetry. Part of thisinterest is related to the possibility of domain formation and pinning at theantidots boundaries. In this paper, we develop a method for the calculation ofthe magnetic moment distribution for such arrays which concentrates on theimmediate vicinity of each antidot. For each antidot distribution (square orhexagonal) a suitable system of coordinates is defined to exploit the shape ofthe unit-cells of the overall nanostructure. The Landau-Lifshitz-Gilbert-Brownequations that govern the distribution of moments are rewritten in terms ofthese coordinates. The equilibrium moments orientation is calculated for eachposition in a Cartesian grid defined for these new coordinate systems, and thena conformal transformation is applied to insert the moment vectors into theactual unit-cell. The resulting vector maps display quite clearly regions ofdifferent moment orientation around the antidots, which can be associated withnanoscale domains. These results are similar to the ones obtained by otherauthors[1-4] using the NIST oommf method.

Application of Conformal Mapping to the determination of Magnetic Moment Distributions in typical Antidot Film Nanostructures