Advanced Modeling of Rectangular Waveguide Devices with Smooth Profiles by Hierarchical Model Reduction

TL;DR

This paper introduces a Hierarchical Model reduction technique for analyzing smoothly varying rectangular waveguide components, achieving high accuracy and significant computational speed-up over traditional finite element methods.

Contribution

The paper develops a novel HiMod-based approach combined with coordinate transformation and waveguide modes for efficient waveguide device analysis.

Findings

Achieves high accuracy in modeling waveguide tapers and filters.

Provides a substantial speed-up compared to standard 3D finite element methods.

Demonstrates effectiveness through numerical examples.

Abstract

We present a new method for the analysis of smoothly varying tapers, transitions and filters in rectangular waveguides. With this aim, we apply a Hierarchical Model (HiMod) reduction to the vector Helmholtz equation. We exploit a suitable coordinate transformation and, successively, we use the waveguide modes as a basis for the HiMod expansion. We show that accurate results can be obtained with an impressive speed-up factor when compared with standard commercial codes based on a three-dimensional finite element discretization.