Skew scattering and side jump of spin wave across magnetic texture

Spin wave and magnetic texture are two elementary excitations in systems, their interaction leads to rich phenomena. By describing spin using own collective coordinates, we find that they interact like classical particles traveling mutual electromagnetic fields. Based on this unified coordinate model, both skew scattering side jump may occur as passing through textures. The is associated with the topology of texture, while correlates total magnetization texture. We illustrate concepts by investigating trajectories across topological skyrmion topologically trivial bubble, respectively.