The transverse magnetization is confined to the plane parallel to the interfaces and perpendicular to the plane of incidence. This configuration may be particularly advantageous in the studies of magnetically soft multilayers in the spectral regions where the efficient polarization optic elements are not available, e.g., in the vacuum ultraviolet spectral region. The analysis is simpler than in the previous cases of the polar and longitudinal magnetizations. This is due to the fact that, to first order in the off-diagonal element of the permittivity tensor, only the TM wave is affected by the transverse magnetization. The proper polarization modes are practically linearly polarized. They are, therefore, compatible with planar waveguide structures, which is not the case of the polar and longitudinal magnetization with the proper polarization modes elliptically polarized. The proper polarization modes at transverse magnetization are compatible with the TE and TM guided modes in planar structures.