Averaging method for analyzing waveguides with anisotropic filling

Abstract

The idea of locally quasi‐static averaging fields inside a slab is applied to thin anisotropic layers. This approach leads to approximate relations between tangential fields on opposite sides of the slab. Then, by considering tangential electric and magnetic fields as vector voltages and currents, an analogous vector circuit is introduced for anisotropic slabs. A comparison between exact and approximate results is given, and some applications are discussed.

Subcell FDTD modeling of electrically thin dispersive layers using Z transforms

“…For the fundamental TE10 mode to be considered here, the field distributions over the small height of the waveguide remain almost uniform for the components tangential to the layer. Hence, the approximate expression for the propagation constant (the cross section of the waveguide is uniform in the -direction) is applicable [20] as follows:…”

On the homogenization of thin isotropic layers

“…That method is based on the assumption that for thin slabs 1 the distribution of the tangential components of the fields inside the slab can be approximately found from the quasi-static equations; see details in [6] and [8]. For that purpose (1) for the scalar potential is solved; see [5].…”

“…The final result can be expressed in terms of generalized second-order boundary conditions for the slab [5], [7], [8]. Simple generalization for the case when the material is uniaxial with the axis normal to the interfaces leads to the following conditions:…”

Metasurfaces for general transformations of electromagnetic fields

“…At the end of the twentieth century, sheet models for thin layers of anisotropic materials and artificial chiral materials (precursors of modern metamaterials) were developed (e.g. [21][22][23][24]). …”