What is it about?

The PML developed is demonstrated through a mapping of the TLM shunt node to a domain with spatial coordinates stretched to a complex domain. In the proposed formulation, the PML layer is to be interpreted as a network of transmission lines whose constitutive RLC components have been transformed by a complex stretch factor. This formulation offers a unified algorithm and is particularly advantageous as the results obtained show a capability for effectively terminating both lossy and lossless dielectric media. Owing to its simplicity, extensions to other TLM nodes, such as the 2D series node and the widely used three-dimensional symmetrical condensed node, are implicitly implied.

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Why is it important?

The PML is widely accepted as the superior absorbing boundary technique and has become a prevalent feature in electromagnetic simulation packages. However, the challenge of developing an efficient and numerically stable TLM-PML formulation is also very well identified amongst TLM researchers. Hence, only a handful of implementations have been reported to date. In light of the huge benefits attainable, we implement, for the first time, a stretched coordinate PML suitable for terminating 2D TLM grids.

Perspectives

It is generally known that the PML performance is sensitive to the different discretization schemes employed. For this reason careful considerations must be made on the particular nature of the numerical method for which the PML is to be employed. Our hope through this work is to re-generate interest amongst TLM researchers towards the development of effective PML implementations

Jomiloju Odeyemi
University of Nottingham

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This page is a summary of: Stretched-Coordinate PML in 2D TLM Simulations, IET Science Measurement & Technology, December 2019, the Institution of Engineering and Technology (the IET),
DOI: 10.1049/iet-smt.2019.0340.
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