This work develops the theory of electromagnetic wave propagation thro
ugh multilayered structures made of anisotropic materials. The propose
d method of resolution is based on the Green's dyadic technique, The e
lectromagnetic field scattered by the multilayer is obtained as the so
lution of a Lippmann-Schwinger equation that can be solved numerically
for an arbitrary profile of the anisotropic dielectric tenser. The te
chnique does not rely on any other approximation than the number of po
ints used in the one-dimensional discretization grid so that thin as w
ell as thick layers are tractable on the same footing, Applications to
magneto-optical effects in various multilayered structures are discus
sed from the computed reflected field (Kerr effect).