Magneto-optical effects in ultrathin structures at transversal magnetization

Procedures based on the Yeh's 4 x 4 matrix formalism for the treatment of t he electromagnetic interactions in multilayers at transversal magnetization and at an arbitrary angle of incidence are described. With the restriction to the magneto-optical effects linear in the magnetization the characteris tic matrix for magnetic layer is derived. The reflection and transmission c oefficients are obtained in the case of magnetic ultrathin film on substrat e. The magneto-optical thin film waveguides at transversal magnetization ar e analysed in details and the dispersion relations for guided modes in a si ngle layer, a bilayer, a sandwich and the approach to expand this way for w aveguiding conditions in multilayers are presented.