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The magnetostatic problem of a coaxial cylindrical magnetic domain (CMD) (two coaxial oppositely magnetized cylinders) is solved. A disintegrated set of equations which describe separately surface and volume modes in a CMD and the matrix is derived. The characteristic equations determining the eigenfrequencies of the magnetostatic modes are obtained. It is shown that the uniform mode in CMD is a surface one and its eigenfrequency depends on the ratio of the cylinder radii, whereas the uniform mode in the matrix is a degenerate volume mode with the corresponding frequency ω a ‐ γ H a .
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M. A. Sigal (1984) studied this question.
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