Topology of Poynting vector in scattering from magneto-electric cylinder and its applications

In electromagnetics, a medium moving at non-relativistic velocities is equivalent to a bianisotropic refractive index, produces the same effect for light as vector potential for charged particles. We investigate Mie scattering from the cylinder made of magneto-electric material. We find Poynting vector singularities in the near field distribution. A high k-vector region around the singularity may find applications in the near field superresolution imaging. We predict an additional phase change in the far-field for the magneto-electric cylinder compared to conventional Mie scattering. The magneto-electric coefficient can control the angular position of the phase change in the far-field and the position of the Poynting vector singularities.