Rigorous Analysis and Network Modeling of the Inset Dielectric Guide

Fast and Efficient Analysis of Inset Dielectric Guide Using Fourier Transform Technique with a Modified Perfectly Matched Boundary

“…Moreover since the components of electric field is independently expanded, this method is easily applied to complex edges. It is shown that the convergence of our numerical results is very fast and the relative error is one quarter or less of those obtained by the transverse resonance diffraction method [2] under the same condition. The numerical results for single-and double-layered inset dielectric guides agree well with those of literatures [2,8,10] …”

“…From this results the virtual boundary may be regarded as a perfectly matched boundary. The propagation constants β of the fundamental mode for various frequencies are shown in Table 2 as the function of the mode truncation number N and compared with those obtained by the TRD method [2] and the measured data [8]. The buffer width and the location of the PEC (or PMC) boundary is assumed at d/λ = 0.05 and Table 1.…”

“…[2] Meas. c/λ = 0.75, respectively, and the values of other parameters are the same as those given in Table 1.…”

“…An inset dielectric guide consisting of a rectangular groove filled with a dielectric medium is a low-loss transmission line in microwave and millimeter wave range [1][2][3][4]. Due to the low-cost and easy fabrication, the inset dielectric guide is expected as a promising devise for millimeter-wave integrated circuits and surface wave antennas with a low cross-polarization [5,6].…”

“…Since the original semi-infinite region is replaced by the bounded region, and this modematching procedure is performed using a simple residual calculus, then an infinite set of linear equations is obtained. In order to obtain a fast convergence of the solution, the tangential components of the electric fields on the aperture are expanded in terms of the Gegenbauer polynomials multiplied by weighted functions [2], which satisfy the field singularity at the metal edge. This enables us to transform the original set of linear equations into a new set of equations with very fast convergence.…”