Spin-wave scattering in square lattices with a linear stacking of anisotropic and antisymmetric bond defects

We investigate the scattering of spin waves by a linear stack of bond defects in two-dimensional ferromagnetic and antiferromagnetic square lattices. Using a semiclassical approach, we derive exact solutions for the transmission of magnons interacting with defects characterized by exchange anisotropy and Dzyaloshinskii-Moriya interactions. For ferromagnetic systems, we identify a resonance condition that yields omnidirectional transparency when the defect exchange matches the bulk, and momentum-selective transparency when the coupling is reduced. In antiferromagnets, the transmission spectrum exhibits a pronounced dependence on both wavevector components, with full transparency at high-symmetry points and complete reflection along specific momentum-space diagonals. Our results reveal how engineered anisotropic and antisymmetric exchange interactions can be used to control magnon transport, offering guiding principles for the design of spin-wave filters and other magnonic devices.