A trilayer structure model has been investigated, in which uniaxial ferromagnetic layers and thin-film interfaces between them are characterized by the magnetic anisotropy. The magnetization perturbation induced in this structure is described by the nonlinear Schrödinger equation with a nonlinear potential, which simulates the interfaces between ferromagnetic layers. It is shown that, in this structure, two types of nonlinear spin waves can propagate along the layers, which are induced by the nonlinearity of the interfaces caused by their magnetic anisotropy. The frequencies of such localized stationary states of spin waves have been obtained in the explicit analytical form. The conditions for the existence of these states, depending on the characteristics of the layers and interfaces between them, have been established.
The types of nonlinear surface waves of extraordinary polarization that occur at the interface between a photorefractive crystal and a medium with positive Kerr nonlinearity are described. It is shown that nonlinear surface waves of an asymmetric profile of two types can exist in such a system. The waves of the first type decay when moving away from the interface without oscillations both in the depth of the photorefractive crystal and in the Kerr crystal, and the waves of the second type decay in the depth of the photorefractive crystal with oscillations. Dispersion relations are obtained, and the conditions for the existence of all the described types of waves are indicated depending on the optical characteristics of the crystals.
A composite waveguide structure, which is a crystal with a diffusion mechanism for the formation of a nonlinear photorefractive response, the surface of which is coated with a non-linear Kerr defocusing type, is considered. It is shown that there exist TM polarized nonlinear surface waves of two types, which differ in the range of existence and the profile of field decay. The propagation modes of nonlinear surface waves are determined in which the field intensity can be maximum or minimum near the surface or at the boundary of the coated crystal.
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