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The internal magnetic structures of a cylinder are computed without prior assumption of axial symmetry. A three-dimensional magnetostatic solution is presented. A detailed distribution of the magnetization is obtained through numerical integration of the Landau-Lifshitz equation with the demagnetization field. Various entry conditions are used. Materials with small uniaxial anisotropy typically demonstrate vortex structures, while a higher anisotropy leads to the formation of concentric cylindrical magnetic bubbles inside the cylinder and a monodomain flower state.
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Ternovsky et al. (2001) studied this question.
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