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Properties of transverse electric waves in the microwave frequency range on a plane interface between a nonlinear antiferromagnet and a linear ferromagnet are investigated. It is revealed that there are two different field distributions and powers. An exact analytical dispersion relation is obtained. On the basis of the dispersion relation, we have investigated the properties of surface waves in this waveguide and, theoretically, found that there exist passbands and stop bands, which can be controlled by varying the power in the nonlinear gyromagnetic waveguides.

A different way of producing the magnetic waveguide by loading gradually varied magnetic fields on graphene is proposed. The vector potential induced by the magnetic fields is connected by two square magnetic barriers and one magnetic well with linear variation. We investigate the guided modes and probability current density distribution within the graphene waveguide. It provides channels freely propagating and enables strong confinement for the modes by the gradually varied magnetic fields. The guide modes are caused by the electron reflection at the interfaces of the magnetic barriers. At the specific incident energy of electrons, there exist stable waveguide modes analogous to those in an optical waveguide. The hierarchy of guided modes decreases with the increasing incident angles. We hope that these results may lead to the potential applications in graphene-based waveguide structure.

We have investigated the tunable lateral shift and polarization beam splitting of the transmitted light beam through electro-optic crystals, based on the Pockels effect. The positive and negative lateral shifts could be easily controlled by adjusting the permittivity tensor, which is modulated by the external applied electric field. An alternative way to realize the polarization beam splitter was also proposed by the polarization-dependent lateral shifts. Numerical simulations for Gaussian-shaped incident beam have demonstrated the above theoretical results obtained by stationary phase method. All these phenomena have potential applications in optical devices.