Equilibrium magnetization for different lengths of rings. (a) Magnetization configuration of . (b) Magnetization configuration of . (c) Magnified view on top of (outer diameter 20 nm, inner diameter 12 nm).
The imaginary part of susceptibility of the permalloy rings as a function of frequency for different lengths (outer diameter 20 nm, inner diameter 12 nm).
Resonance frequencies as a function of for rings. Prisms denote resonance frequencies of permalloy , circles denote resonance frequencies of permalloylike .
Local susceptibility for . (a) The magnetic spectrum of the edge part (first 30 nm, i.e., and ) of the permalloy nanoring along its long axis. (b) The magnetic spectrum of the middle part of the permalloy nanoring along its long axis.
Red line denotes the Kittel prediction, solid prisms denote the weighted average resonance frequency , open circles denote the weighted average resonance frequency including the third peak . Inset: magnified view of specific frequencies.
The relationship between the magnetic parameters and the frequencies of the studied systems. For different lengths, the frequencies of shape mode (low frequency) and the frequencies of volume mode (high frequency) are presented.
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