Weak Formulations for Calculating Spin Wave Dispersion Relation in Magnonic Crystals

M. Mruczkiewicz[1]
[1]Adam Mickiewicz University, Poznan, Poland
Published in 2013

We study the spin wave excitation (coherent precession of magnetic moments) in periodically arranged magnetic stripes, i.e., in one-dimensional magnonic crystal (MC). Two approaches have been implemented. We have defined a structure that dispersion relation can be obtained using both approaches and compared them. In general, the approach I has to be used for MCs where the exchange interactions are important (small lattice constant), while the approach II is useful in the structures with large thickness a low exchange coefficient.

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