Spin-wave Goos-Hänchen effect induced by 360-degree domain walls in magnetic heterostructures

In this work, lateral displacements of transmitted and reflected spin waves at a 360-degree domain wall (360DW), which is referred to as the spin-wave Goos-H"anchen effect (SWGHE), are systematically investigated in magnetic heterostructures with perpendicular easy/hard axis and wall-extension direction. Similar to the counterpart at heterochiral interfaces, the interfacial Dzyaloshinskii-Moriya interaction (IDMI) originated from a heavy-metal substrate is important for the emergence of SWGHE. More interestingly, the SWGHE can even survive in ferromagnets with biaxial anisotropy (either intrinsic or caused by shape anisotropy) in the absence of IDMI due to the unique 360DW-induced potentials which are distinct to the well-known P"oschl-Teller ones. Numerics shows that these lateral displacements are generally fractions of the wavelength of spin waves involved. They can be further enhanced by an array of well-separated 360DWs thus provide a large variety for spin-wave manipulation.