The dipolar field static and dynamic components are calculated in thin magnetic stripes in saturating field applied parallel or perpendicularly to the sample surface. Lattice sums, a generalization of the sums used in theoretical treatment of infinite samples with short-range interactions, are calculated numerically, and found to be in good agreement with our analytical approximations proposed for a confined system. The equations of motion are derived for a system with pure dipolar interactions, and magnetostatic modes propagating perpendicularly to the sample surfaces are calculated. The corresponding frequency spectra and mode profiles are computed numerically with emphasis laid on size effects. The lowest-frequency modes, exhibiting typical antiferromagnetic profile, are identified as surface-localized modes. The profiles of the highest-frequency modes are found to be close to the uniform mode profile. These results will be compared with available experimental ferromagnetic measurements reporting the observation of resonance spectra with well-resolved magnetostatic modes, and following consequences for the magnetic reversal dynamics will be discussed.

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