Transmission parameters of an anisotropic layered structure in the waveguide

Abstract

The solution of the boundary value problem of electromagnetic wave transmission through an anisotropic layered structure placed in a rectangular waveguide is presented. The main axes of the crystallographic system of the layers are oriented parallel to the edges of the waveguide. For transmission through a single slab, the resulting scattering matrix elements S 11 and S 21 are transformed to the form known from the Nicolson-Ross-Weir model. This gives the possibility of using this model to retrieve complex material parameters (components of the permittivity and permeability tensors).

A Formal Approach to the Extraction of Permittivity and Permeability of Isotropic and Anisotropic Media Using the TM11 Mode in Rectangular Waveguides

“…When two eigenvalues of the tensor are equal, such a medium is called uniaxial. Similar considerations can be carried out for the permittivity tensor µ ik (see our previous work [24]). If µ ik = δ ik , then we say that the medium is nonmagnetic and, in general, we are dealing only with electrical isotropy or anisotropy.…”

“…. ) can be used to extract parameters, because other TE and TM modes do not propagate [15,24]. The same situation occurs for materials with uniaxial anisotropy, when…”

“…Based on [24] on the propagation of electromagnetic waves in a layered medium placed in a rectangular waveguide, the theory of using TE 10 and TM 11 modes to determine the complex parameters of anisotropic and isotropic media is presented. The Nicolson-Ross-Weir method was used.…”

“…The second section of the paper presents the above-mentioned theoretical basis of material parameter extraction in terms of the possibility of using the TM 11 mode. To facilitate the use of the formulas for specialists who are closer to the network description, rather than the field description (see e.g., our work [24]), a graph of the signal flow for TE and TM waves, and an anisotropic structure placed in a rectangular waveguide were used. A similar approach was used by Nicolson and Ross [1] for TEM waves in a coaxial line.…”

Frequency Analysis of Electromagnetic Waves in Tripartite Photonic Crystals with Adjustable Part Lengths

“…In order to analyze the behaviors of electromagnetic wave propagation in photonic structures, each layer's electromagnetic wave propagation behavior in the periodic layer group forming the structures should be considered separately. In the literature, there are many studies that theoretically examine the electromagnetic wave propagation behavior occurring in each layer of one-dimensional photonic structures (Delihacıoğlu, 2014;Kaya and Delihacioglu, 2014;Kang et al, 2018;Hassan et al, 2019;Dukata and Waldemar, 2020), as well as experimental studies in which these structures are manufactured using various production methods (Chung et al, 2010;Askari et al, 2020;Gao et al, 2020;Bi et al, 2021;Wei et al, 2021).…”