ABSTRACT
This chapter provides a review of the basic theoretical work concerned with the magnetic periodic structures. It considers the general case of the dipole-exchange spin waves. Spin-wave propagation through such structures is prohibited within some restricted bands. When the magnetic metamaterials have attracted special attention, various theoretical approaches have been elaborated and used to consider the problem of multilayered and patterned structures. A physical picture of the formation and transformation of spin-wave spectrum for the multilayered and patterned structures is given for two types of structures, namely, magnetic/nonmagnetic and magnetic/magnetic multilayers. The chapter presents a closed picture of the problem under consideration and examines possible difficulties in solving it. Opposite to the single-film case, it should be noted that the exchange boundary conditions for multilayered structures have to include an additional torque resulting from the exchange interaction between the magnetic films in addition to the usual surface anisotropy term.
