Te-mode solutions for partially ferrite filled rectangular waveguide using ABCD matrices

Customized meta-waveguide for phase and absorption

“…In general, the [ABCD] matrix was used to calculate the voltage and current of a two-port network. However, it could also be used to calculate the electromagnetic properties of the waveguide [28]. As shown in figure 1(c), the internal space of the equivalent model of the meta-waveguide was divided into six regions that were symmetrical about a vertical center axis.…”

“…Because the meta-waveguide's internal space was symmetrical about the vertical center axis, equation ( 4) obtained from the lower half-space could represent the entire metawaveguide's characteristics. Moreover, the [ABCD] matrix parameters of dielectric, ferrite, and air are given in [28]. Substituting these parameters into equation ( 4) gives the transcendental equation for the phase constant β,…”

“…where k f is the wave number of ferrite; ρ and θ, given in [28] in detail, are two parameters defined by the magnetic susceptibility tensor; and β is the phase constant. Furthermore, the expressions of r 1 , r 2 , r 3 , τ 1 , τ 2 , and κ are defined as…”

“…According to [28], parameters ρ and θ were defined by the magnetic susceptibility tensor, indicating that the phase of electromagnetic waves in the meta-waveguide was related to the equivalent ferrite layer's magnetic susceptibility. Furthermore, based on the previous analysis of the equivalent medium model, the parameters g, w, and l of the SRR determined the intensity of the induced magnetic field |H ind |, and the intensity determined the equivalent magnetic susceptibility χ e .…”