Magnonics is now an attractive field which focuses on the dynamic characteristics of magnons, a kind of quasiparticles in magnetic media, and attempts to apply magnons for functional devices. In order to construct magnon-based devices, it is necessary to fabricate materials with specific and tunable magnon bands and bandgaps. Skyrmion-based magnonic crystal is one of the most suitable materials which possess periodical skyrmion structure and show applicative magnon bands and bandgaps. In this review, we provide an overview over recent theoretical and experimental research on skyrmion-based magnonic crystals. We will first provide an introduction of magnonic crystals and magnetic skyrmion. Then, we will show the theoretical and experimental progress on skyrmion-based magnonic crystals and their magnon band characteristics. At the end, we will give an outlook and perspectives of new fascinating fields on topological nontrivial magnon modes, as well as hybrid and quantum magnonic phenomena of skyrmion-based magnonic crystals.

中文翻译：

---

基于 Skyrmion 的 magnonic 晶体

Magnonics 现在是一个有吸引力的领域，它专注于磁振子（磁介质中的一种准粒子）的动态特性，并尝试将磁振子应用于功能器件。为了构建基于磁振子的设备，有必要制造具有特定且可调谐的磁振子带和带隙的材料。Skyrmion基磁子晶体是最合适的材料之一，它具有周期性的skyrmion结构并显示出适用的磁子带和带隙。在这篇综述中，我们概述了最近关于基于斯格明子的磁子晶体的理论和实验研究。我们将首先介绍磁子晶体和磁性斯格明子。然后，我们将展示基于斯格明子的磁子晶体及其磁子带特征的理论和实验进展。在末尾，