Characterization of the Regular Polygonal Waveguide for the Rf Em Shielding Application

Abstract

Abstract-This article presents a theoretical characterization of the regular polygonal waveguide (RPW) having n-sides. Based on the symmetrical circular symmetry of the RPW and the circular waveguide (CW), the analogy between the electromagnetic (EM) behaviors of these to waveguide (WG) is established. After a brief recall about the state of the art concerning the WG engineering and its application, we introduce a basic theory of the WG presenting a regular polygonal cross-section with n-sides. By considering, the fundamental mode TE 11 , we develop the main mathematical formulas summarizing the different characteristics (cut-off frequency, f c , propagating constant, k 11 and S-parameters) appropriated to any RPW in function of its physical parameters (number of sides, n, diameter, D and height, h). In order to verify the validation of the developed analytical expressions, comparisons between the HFSS simulated and theoretical dispersion diagrams of regular pentagonal (n = 5), hexagonal (n = 6), heptagonal (n = 5) metallic (copper) WG with for example, 50 mm outer diameter are presented. So, it was demonstrated that very good correlation between the theoretical predictions (f c (n), k 11 (n)) is found with a relative error less than 1%. As application of the present study in terms of EM wave shielding, simulation of metallic wall with hexagonal aperture is also performed. Finally, discussion about the future work is drawn in conclusion.

Effect of Bias Electrode Position on Terahertz Radiation From Pentagonal Mesas of Superconducting <formula formulatype="inline"><tex Notation="TeX">${\hbox{Bi}}_{2}{\hbox{Sr}}_{2}{\hbox{CaCu}}_{2}{\hbox{O}}_{8+\delta}$</tex> </formula>

“…7 (b). Although no analytic solutions of the TM modes in a thin regular pentagonal antenna have been published, a number of studies have been made [43][44][45][46]. The simplest picture was constructed by Ravelo and Mazari and by Zheng et al [46,48].…”

“…Although no analytic solutions of the TM modes in a thin regular pentagonal antenna have been published, a number of studies have been made [43][44][45][46]. The simplest picture was constructed by Ravelo and Mazari and by Zheng et al [46,48]. Following their suggestions, we modeled the pentagonal mesa of side a as a circular-or disk-shaped mesa, as sketched in Fig.…”

Multiband Below-Cutoff Propagation in Rectangular Waveguides Filled With Multilayer Left-/Right-Handed Metamaterials

“…Although in this paper, the property of the fundamental LSE 10 mode is mainly discussed, this theory can be used to analyse any longitudinalsection electric (LSE) modes or longitudinal-section magnetic (LSM) modes. Moreover, this theory could be easily extended to other closed metallic waveguides such as cylindrical waveguides [14], elliptical waveguides, or regular polygonal waveguides [15]. The closed-form analytical expressions of the modal fields and eigenequations for LSE and LSM modes are derived in Section 2.…”