  Using 4x4 matrix formalism we analyzed electromagnetic wave propagation and
Jones matrix components for reflectivity and transmittivity in bi-anisotropic
materials. Analytic formulas for complex reflection and transmission
coefficients for bi-anisotropic materials in both semi-infinite and thin-film
configurations have been derived. The obtained results are applicable for
analysis of the optical spectra of multiferroic crystals and metamaterials. The
Adjusted Oscillator Strength Matching Condition (AOSM) for hybrid magnetic- and
electric-dipole excitations in anisotropic multiferroics is derived for oblique
angles of incidence. Mueller Matrices are used to simulate spectra of
magneto-electric and chiral excitations and methods to distinguish them are
discussed.
