Complete Modal Analysis of Planar Waveguide Junctions With a 2-D Hybrid FEM/Leontovich Framework Including Conductor Losses
Year: 2025
Type: article
Abstract: A scalar 2-D finite-element-method (FEM) framework is presented for planar waveguide junctions enclosed by a non-perfect conductor, considering its complete modal spectrum at its rectangular waveguide ports. Separate formulations are first derived for the general$\text {TM}^{z}$and$\text {TE}^{z}$modal excitations, which are combined through a modal basis transformation. Conductor losses are embedded through the Leontovich boundary condition with minimal overhead. One additional matrix is required for lateral-wall losses under$\text {TM}^{z}$excitation, while two are needed under the more involved$\text {TE}^{z}$excitation, for which specific vector test functions are introduced to maintain the scalar nature of the problem with lateral-wall losses. Lid-wall losses are captured by a perturbation method, leaving the algebraic stencil untouched. Because the analysis remains strictly 2-D, benchmarks on transformers, filters, bends, and diplexers demonstrate run-times noticeably shorter than 3-D FEM-based commercial software, while retaining full-wave accuracy.
Authors: Hui Jiang, Juan Córcoles, Jorge A. Ruiz-Cruz
Language: English
Subfield: Electrical and Electronic Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,645
OpenAlex ID: W7091710188