  This paper is concerned with the inverse electromagnetic scattering problem
for anisotropic media. We use the interior resonant modes to develop an inverse
scattering scheme for imaging the scatterer. The whole procedure consists of
three phases. First, we determine the interior Maxwell transmission eigenvalues
of the scatterer from a family of far-field data by the mechanism of the linear
sampling method. Next, we determine the corresponding transmission
eigenfunctions by solving a constrained optimization problem. Finally, based on
both global and local geometric properties of the transmission eigenfunctions,
we design an imaging functional which can be used to determine the shape of the
medium scatterer. We provide rigorous theoretical basis for our method.
Numerical experiments verify the effectiveness, better accuracy and
super-resolution results of the proposed scheme.
