  We extend the Finite-Difference Time-Domain method to treat dispersive
magnetic media by incorporating magneto-optical effects through a
frequency-dependent permittivity tensor. For benchmarking our method, we
consider the light scattering on a magnetic sphere in the Mie regime. We first
derive the analytical scattering expressions which predict a peak broadening in
the scattering efficiency due to the atomic energy level splitting in the
presence of a magnetic field, together with an additional rotated part in the
scattered field profile due to the Faraday rotation. We show that our numerical
method is able to capture the main scattering features and discuss its
limitations and possible improvements in accuracy.
