A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLM

An improved implementation of the perfectly matched layer (PML) is developed for the Transmission Line Modelling (TLM) method based on a mapping of the symmetrical condensed node (SCN) to an analytically extended geometric space. By mapping the TLM node, a medium - circuit equivalence is developed w...

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Main Authors: Jomiloju S. Odeyemi, Ana Vukovic, Trevor M. Benson, Phillip D. Sewell
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Open Journal of Antennas and Propagation
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9061061/
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author Jomiloju S. Odeyemi
Ana Vukovic
Trevor M. Benson
Phillip D. Sewell
author_facet Jomiloju S. Odeyemi
Ana Vukovic
Trevor M. Benson
Phillip D. Sewell
author_sort Jomiloju S. Odeyemi
collection DOAJ
description An improved implementation of the perfectly matched layer (PML) is developed for the Transmission Line Modelling (TLM) method based on a mapping of the symmetrical condensed node (SCN) to an analytically extended geometric space. By mapping the TLM node, a medium - circuit equivalence is developed which maps transmission line parameters from real to complex domain. This consequently modifies the TLM scatter-connect process. The PML implementation is demonstrated for canonical cases where it is shown to have a comparable absorption performance and a significantly improved temporal stability relative to previously published TLM-PML formulations.
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spelling doaj.art-af26b589074d4ecc9b63cf9f78896e8a2022-12-21T18:15:51ZengIEEEIEEE Open Journal of Antennas and Propagation2637-64312020-01-01112613510.1109/OJAP.2020.29862939061061A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLMJomiloju S. Odeyemi0Ana Vukovic1Trevor M. Benson2Phillip D. Sewell3George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K.George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K.George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K.George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K.An improved implementation of the perfectly matched layer (PML) is developed for the Transmission Line Modelling (TLM) method based on a mapping of the symmetrical condensed node (SCN) to an analytically extended geometric space. By mapping the TLM node, a medium - circuit equivalence is developed which maps transmission line parameters from real to complex domain. This consequently modifies the TLM scatter-connect process. The PML implementation is demonstrated for canonical cases where it is shown to have a comparable absorption performance and a significantly improved temporal stability relative to previously published TLM-PML formulations.https://ieeexplore.ieee.org/document/9061061/Perfectly matched layerstabilitystretched-coordinatetransmission line modellingsymmetrical condensed node
spellingShingle Jomiloju S. Odeyemi
Ana Vukovic
Trevor M. Benson
Phillip D. Sewell
A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLM
IEEE Open Journal of Antennas and Propagation
Perfectly matched layer
stability
stretched-coordinate
transmission line modelling
symmetrical condensed node
title A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLM
title_full A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLM
title_fullStr A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLM
title_full_unstemmed A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLM
title_short A Complex Domain Mapping of the SCN for an Effective PML Implementation in TLM
title_sort complex domain mapping of the scn for an effective pml implementation in tlm
topic Perfectly matched layer
stability
stretched-coordinate
transmission line modelling
symmetrical condensed node
url https://ieeexplore.ieee.org/document/9061061/
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