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From the pioneering work of Winter [Phys. Rev. 124, 452 (1961)], a magneticdomain wall of Bloch type is known to host a special wall-bound spin-wave mode,which corresponds to spin-waves being channeled along the magnetic texture.Using micromagnetic simulations, we investigate spin-waves travelling insideBloch walls formed in thin magnetic media with perpendicular-to-plane magneticanisotropy and we show that their propagation is actually stronglynonreciprocal, as a result of dynamic dipolar interactions. We investigatespin-wave non-reciprocity effects in single Bloch walls, which allows us toclearly pinpoint their origin, as well as in arrays of parallel walls in stripedomain configurations. For such arrays, a complex domain-wall-bound spin-waveband structure develops, some aspects of which can be understood qualitativelyfrom the single-wall picture by considering that a wall array consists of asequence of up/down and down/up walls with opposite non-reciprocities.Circumstances are identified in which the non-reciprocity is so extreme thatspin-wave propagation inside individual walls becomes unidirectional.

Unidirectional spin-wave channeling along magnetic domain walls of Bloch type