Magnonic band gaps in waveguides with a periodic variation of the saturation magnetization
Florin Ciubotaru, Andrii V. Chumak, Bj\"orn Obry, Alexander A. Serga,, and Burkard Hillebrands

TL;DR
This paper investigates how periodic variations in saturation magnetization in a permalloy waveguide create magnonic band gaps, with analysis of their origins and control mechanisms for potential spin-wave device applications.
Contribution
It introduces a micromagnetic analysis of spin-wave band gaps in a magnonic crystal with periodic saturation magnetization variation, highlighting control over gap properties.
Findings
Frequency band gaps are observed in spin-wave transmission spectra.
Band gaps result from overlap of fundamental and higher order mode gaps.
Control of gap properties is achieved through magnetization variation and modulation level.
Abstract
We present a micromagnetic analysis of spin-wave propagation in a magnonic crystal realized as a permalloy spin-wave waveguide with a spatial periodical variation of its saturation magnetization. Frequency band gaps were clearly observed in the spin-wave transmission spectra and their origin is traced back to an overlap of individual band gaps of the fundamental and the higher order spin-wave width modes. The control of the depth, width and the position in frequency and space of the rejection band gaps by the width areas with a reduced magnetization and by the modulation level, are discussed in this study.
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