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Spin wave nonreciprocity in domain walls (DWs) allows for unidirectionalsignal processing in reconfigurable magnonic circuits. Using scanningtransmission x-ray microscopy (STXM), we examined coherently-excited magnonspropagating in Bloch-like DWs in amorphous Fe/Gd multilayers with perpendicularmagnetic anisotropy (PMA). Near 1 GHz we detected magnons with shortwavelengths down to $\lambda = 281$ nm in DWs whose minimum width amounted to$\delta_{\rm DW} = 52$ nm. Consistent with micromagnetic simulations, the STXMdata reveal their nonreciprocal magnon band structures. We identified Blochpoints which disrupted the phase evolution of magnons and induced different$\lambda$ adjacent to the topological defects. Our observations provide directevidence of nonreciprocal spin waves within Bloch-like DWs, serving asprogrammable waveguides in magnonic devices with directed information flow.

Nonreciprocal Spin Waves in Nanoscale Domain Walls Detected by Scanning X-ray Microscopy in Perpendicular Magnetic Anisotropic Fe/Gd Multilayers