TLM Local Mesh-Refinement Scheme Based on N-Port Network Representation and Conference-Matrix Connection Topology - Archive ouverte HAL
Article Dans Une Revue IEEE Transactions on Microwave Theory and Techniques Année : 2023

TLM Local Mesh-Refinement Scheme Based on N-Port Network Representation and Conference-Matrix Connection Topology

Résumé

This article presents an optimal connection topology to model the voltage-exchange at the interface between different sub-grids in nonstructured TLM meshes. As a first step, the derivation—using Kirchhoff’s circuit laws—of these voltage-exchange equations between two subdomains with an arbitrary meshing ratio and a specific connection topology is presented. It was then generalized as an S-matrix of an N-port network that processes all desired properties in an ideal interface. In contrast to previous approaches, these S-matrix elements are derived directly for their properties and no concrete physical representation is required. Moreover, stability in this novel connection topology is ensured since all eigenvalues of the optimal S-matrix are located on the unit circle.
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hal-04016011 , version 1 (20-09-2024)

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Abdelrahman Ijjeh, Marylene Cueille, Jean-Lou Dubard, Michel Ney. TLM Local Mesh-Refinement Scheme Based on N-Port Network Representation and Conference-Matrix Connection Topology. IEEE Transactions on Microwave Theory and Techniques, 2023, 71 (7), pp.2888 - 2896. ⟨10.1109/TMTT.2023.3241890⟩. ⟨hal-04016011⟩
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