关键词：自旋波;阵列；;磁性材料；微波设备
摘 要：It is demonstrated that collective spin waves (SWs) propagating in complex periodic arrays of dipolarly coupled magnetic nanopillars existing in a saturated (single-domain) ground state in a zero bias magnetic field could be nonreciprocal. To guarantee the SW nonreciprocity two conditions should be fulfilled: (i) existence of a nonzero out-of-plane component of the pillars' static magnetization and (ii) a complex periodicity of array's ground state with at least two elements per a primitive cell, if the elements are different, and at least three elements per a primitive cell, if the elements are identical. The obtained results show that coupled arrays of magnetic nanopillars with out-of-plane shape or/and crystallographic anisotropy could be used for the development of miniature unbiased microwave isolators and circulators.