Unconditionally Stable Explicit Time-Domain Transmission-Line Matrix Method

IF 4.1 1区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Microwave Theory and Techniques Pub Date : 2024-10-02 DOI:10.1109/TMTT.2024.3467037

Abdelrahman A. Ijjeh;Marylene Cueille;Alexandre Debard;Jean-Lou Dubard;Michel M. Ney

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引用次数: 0

Abstract

This article presents the mathematical model of the unconditionally stable explicit transmission-line matrix (USE-TLM) method, which can operate at a time step beyond the Courant-Friedrichs–Lewy (CFL) limit. This technique is based on the eigenmode decomposition of the system matrix that represents the computational domain. Then, by eliminating all unstable modes, the system size is reduced and is usually much simpler to manipulate in terms of computational resources. Indeed, in practical simulations, the number of modes one should conserve is very small compared to when the entire set of eigenmodes is considered. This procedure can considerably reduce the size of the system matrix leading to some substantial computational gain as compared to the traditional TLM method. Finally, some issues regarding the accuracy of the proposed technique are investigated. Several numerical experiments are presented and comparisons with other approaches show the validity and the performance of the proposed TLM procedure.

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来源期刊

IEEE Transactions on Microwave Theory and Techniques 工程技术-工程：电子与电气

CiteScore

8.60

自引率

18.60%

发文量

486

审稿时长

6 months

期刊介绍： The IEEE Transactions on Microwave Theory and Techniques focuses on that part of engineering and theory associated with microwave/millimeter-wave components, devices, circuits, and systems involving the generation, modulation, demodulation, control, transmission, and detection of microwave signals. This includes scientific, technical, and industrial, activities. Microwave theory and techniques relates to electromagnetic waves usually in the frequency region between a few MHz and a THz; other spectral regions and wave types are included within the scope of the Society whenever basic microwave theory and techniques can yield useful results. Generally, this occurs in the theory of wave propagation in structures with dimensions comparable to a wavelength, and in the related techniques for analysis and design.