Comparison of 2.5D finite element formulations with perfectly matched layers for solving open axisymmetric electromagnetic cavity problems

Abstract

Axial symmetry in time‐harmonic electromagnetic wave problems can be exploited by considering a Fourier expansion along the angular direction, reducing fully three‐dimensional computations to two‐dimensional ones on an azimuthal cross section. While this transition leads to a significant decrease in computational effort, it introduces additional difficulties, which necessitate appropriate finite element (FE) formulations. By combining the latter with perfectly matched layers (PML), open problems can be considered. In this work, we compare and discuss the performance of different combinations of axisymmetric FE formulations and PMLs, using a dielectric sphere in open space as a test case. As an application example, a superconducting Fabry–Pérot photon trap is considered.

Special issue: The 12th International Symposium on Electric and Magnetic Fields (EMF 2021)

“…Three broad topics were covered during the 12th edition of the symposium. The first major topic considers the mathematical modeling of electromagnetic problems in view of their eventual numerical solution on computers, with contributions on quasistatic time‐domain formulations 1–3 and high‐frequency formulations 4 . The second major topic treats general methodological advances in numerical methods 5,6 .…”

“…The first major topic considers the mathematical modeling of electromagnetic problems in view of their eventual numerical solution on computers, with contributions on quasistatic time-domain formulations 1-3 and high-frequency formulations. 4 The second major topic treats general methodological advances in numerical methods. 5,6 The third major topic is the application of modeling to the study, design, and optimization of a wide range of technological devices, spanning low-to high-frequency electromagnetic regimes: from magnetostatics 7,8 to electro-9,10 and magneto-quasistatics, 11,12 to full-wave.…”