Abstract

An enriched finite element method is presented to numerically solve the eigenvalue problem on electromagnetic waveguides governed by the Helmholtz equation. In this work, a highly efficient, simple and precise higher order subparametric method was developed using a 2D automated mesh generator performed with JuliaFEM. The transcendence computerized discretization code in Julia is developed for the present work. For curved waveguide structures, meshes with one side and curving higher orders are proposed with triangular elements with parabolic arcs. The technique is shown for distinct waveguide constructions, and the results are compared with the strongest numerical or analytical results available. The results demonstrate that the proposed methodology is effective and accurate for generating finite element simulations for complex structures with black holes and irregular topology due to no curvature loss. This article presents a finding cutoff frequency performed with JuliaFEM—an open-source program. Analysis results produced by commercial software are considered for the comparison and show that the calculation results between the two programs do not differ significantly. This procedure can be used to achieve the most effective transmission of energy for electromagnetic applications.

Highlights

  • Waveguides are an essential component in the field of wireless technologies of the next-generation applications

  • The waveguide features are widely used as high-power transmission components to feed an antenna for propagation and applications ranging from a magnetron to a chamber in a microwave oven [1]–[5]

  • There is no significant difference in the solution when we use HO elements

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Summary

Introduction

Waveguides are an essential component in the field of wireless technologies of the next-generation applications. The waveguide features are widely used as high-power transmission components to feed an antenna for propagation and applications ranging from a magnetron to a chamber in a microwave oven [1]–[5]. Radio waves have been extensively used in communications and wireless power transmission technologies. Numerical methods are very much essential for analysis of propagation of these waves as there is no single direct empirical approach available at present. Many techniques such as the finite element method (FEM) [6]–[8] or the boundary element method (BEM) [9], [10] have been employed for numerical eigen analysis. Several other methods for analyzing waveguides have been proposed in recent years such as for obtaining cut-

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