This paper describes the magneto-optical effects and the reflectivity behav
iors of bilayers based on magnetic and isotropic (MgF2)/anisotropic (TiO2)
layers under the condition of total internal reflection. In the framework o
f Green's dyadic technique, we show accurately the optical properties of an
isotropic layers deposited on a substrate. We present numerical simulations
which account for the variation of angle of incidence at the HeNe laser wa
velength. The Kerr rotation is found to increase significantly around the o
ptical modes in total reflection. We also discuss the importance of anisotr
opic effects due to the crystallization of the dielectric material (TiO2) w
hich occur in the reflectivity and Kerr rotation spectra.