Notes on Perfectly Matched Layers (PMLs)
Steven G. Johnson
TL;DR
This paper provides an introductory overview of perfectly matched layers (PMLs), explaining their theoretical basis, practical implementation, and limitations in absorbing wave equations for computational simulations.
Contribution
It offers a clear explanation of the complex stretched-coordinate approach to PMLs and discusses their limitations, serving as an educational resource.
Findings
PMLs effectively absorb outgoing waves in simulations.
The complex stretched-coordinate viewpoint clarifies PML operation.
Limitations of PMLs include potential reflections and stability issues.
Abstract
This note is intended as a brief introduction to the theory and practice of perfectly matched layer (PML) absorbing boundaries for wave equations, originally developed for MIT courses 18.369 and 18.336. It focuses on the complex stretched-coordinate viewpoint, and also discusses the limitations of PML.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsElectromagnetic Simulation and Numerical Methods · Electromagnetic Scattering and Analysis · Microwave Engineering and Waveguides