Recursive evolution of spin-wave multiplets in magnonic crystals of antidot-lattice fractals
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AbstractWe explored spin-wave multiplets excited in a different type of magnonic crystal composed of ferromagnetic antidot-lattice fractals, by means of micromagnetic simulations with a periodic boundary condition. The modeling of antidot-lattice fractals was designed with a series of self-similar antidot-lattices in an integer Hausdorff dimension. As the iteration level increased, multiple splits of the edge and center modes of quantized spin-waves in the antidot-lattices were excited due to the fractals’ inhomogeneous and asymmetric internal magnetic fields. It was found that a recursive development (Fn = Fn−1 + Gn−1) of geometrical fractals gives rise to the same recursive evolution of spin-wave multiplets.
2016 ◽
Vol 43
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pp. 350-367
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2009 ◽
Vol 223
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pp. 1889-1901
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Vol 23
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pp. 884-900
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pp. 643-651
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Vol 28
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pp. 1635-1654
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