Abstract
We calculated the dispersion relations for magnon waves in a single and two adjacent periodic chains of spherical magnetic particles magnetized along the chain axis. Dipole-dipole coupling between point magnetic moments in a chain and between chains was taken into account. A weak coupling between local magnetic moments at separate particles in a chain leads to formation of narrow transmittance band, which results in a low group velocity of the spin waves. The group velocity can be controlled by the chain parameters. In the case of double magnon chains, a transmittance band splits into two sub-bands corresponding to symmetric and anti-symmetric eigenmodes. Interference between them results in spin wave snaking between the two chains. This effect is field-dependent that makes possible application of double chains of magnetic particles in magnonic switch.
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