“…Nowadays, when linear and non-linear coupling of spin-wave modes and demagnetizing effects cannot be neglected on the nano-and micro-scales, many studies are focused on the understanding of spin-wave related physical phenomena in magnonic crystals. In particular, high attention attracted investigations of magnonic crystals with defects [31,32,33,34,35], topological and nonreciprocal phenomena in magnonic crystals [36,37,38,39,40,41,42,43,44], linear and non-linear spin-wave dynamics in coupled magnonic crystals [45,46,47], and formation and propagation of solitons [48,49,50,51]. Moreover, besides one-dimensional magnonic crystals [81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98], two-dimensional magnonic crystals [52,53,54,55,56,57,…”