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On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections

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Bibliographic Details
Title: On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections
Authors: Rasekhmanesh, Mohamad Hosein, García Contreras, Ginés, Córcoles Ortega, Juan, Ruiz Cruz, Jorge Alfonso
Contributors: UAM. Departamento de Tecnología Electrónica y de las Comunicaciones, Group of RadioFrequency: Circuits and Systems (RFCAS)
Publisher Information: MDPI
Publication Year: 2024
Collection: Universidad Autónoma de Madrid (UAM): Biblos-e Archivo
Subject Terms: finite-element method, mode-matching method, Lagrange elements, triangular cell types, quadrilateral cell types, degenerate mode analysis, waveguide devices, Telecomunicaciones
Description: This work addresses the suitability of using structured meshes composed of quadrilateral finite elements, instead of the classical unstructured meshes made of triangular elements. These meshes are used in the modal analysis of waveguides with Manhattan-like cross-sections. For this problem, solved with the two-dimensional Finite Element Method, there are two main quality metrics: eigenvalue and eigenvector accuracy. The eigenvalue accuracy is first considered, showing how the proposed structured meshes are, given comparable densities, better, especially when dealing with waveguides presenting pairs of modes with the same cutoff frequency. The second metric is measured through a practical problem, which commonly appears in microwave engineering: discontinuity analysis. In this problem, for which the Mode-Matching technique is used, eigenvectors are needed to compute the coupling between the modes in the discontinuities, directly influencing the quality of the transmission and reflection parameters. In this case, it is found that the proposed analysis performs better given low-density meshes and mode counts, thus proving that quadrilateral-element structured meshes are more resilient than their triangular counterparts to higher-order eigenvectors. ; This work was supported by the Spanish Government under Grant PID2020-116968RBC32/33 (DEWICOM), Agencia Estatal de Investigación MCIN/AEI/10.13039/501100011033, Fondo Europeo de Desarrollo Regional: AEI/FEDER, UE
Document Type: article in journal/newspaper
File Description: application/pdf
Language: English
Relation: Mathematics; https://doi.org/10.3390/math10040656; Gobierno de España. PID2020-116968RB-C32/33; Mathematics 10.4 (2022): 656; http://hdl.handle.net/10486/711152; 15; 10
DOI: 10.3390/math10040656
Availability: http://hdl.handle.net/10486/711152
https://doi.org/10.3390/math10040656
Rights: © 2022 by the authors ; Reconocimiento ; openAccess
Accession Number: edsbas.B1B5EC2
Database: BASE
Description
Abstract:This work addresses the suitability of using structured meshes composed of quadrilateral finite elements, instead of the classical unstructured meshes made of triangular elements. These meshes are used in the modal analysis of waveguides with Manhattan-like cross-sections. For this problem, solved with the two-dimensional Finite Element Method, there are two main quality metrics: eigenvalue and eigenvector accuracy. The eigenvalue accuracy is first considered, showing how the proposed structured meshes are, given comparable densities, better, especially when dealing with waveguides presenting pairs of modes with the same cutoff frequency. The second metric is measured through a practical problem, which commonly appears in microwave engineering: discontinuity analysis. In this problem, for which the Mode-Matching technique is used, eigenvectors are needed to compute the coupling between the modes in the discontinuities, directly influencing the quality of the transmission and reflection parameters. In this case, it is found that the proposed analysis performs better given low-density meshes and mode counts, thus proving that quadrilateral-element structured meshes are more resilient than their triangular counterparts to higher-order eigenvectors. ; This work was supported by the Spanish Government under Grant PID2020-116968RBC32/33 (DEWICOM), Agencia Estatal de Investigación MCIN/AEI/10.13039/501100011033, Fondo Europeo de Desarrollo Regional: AEI/FEDER, UE
DOI:10.3390/math10040656