Transmission Line Matrix (TLM) Method

Abstract

This article presents the fundamental ideas behind the transmission‐line modeling or matrix (TLM) method and its applications to complex electromagnetic problems. TLM is considered from different points of view to illustrate its properties and modeling capabilities. A number of more recent enhancements to TLM are presented, especially in the area of materials and multiscale modeling. The article gives a concise introduction to advanced TLM topics and applications.

Numerical calculation of shielding effectiveness of enclosure with apertures based on EM field coupling with wire structures

“…The TLM method [17] is a differential time-domain numerical technique based on temporal and spatial sampling of EM fields. The fundamental building block in the TLM method is known as the symmetrical condensed node (SCN) consisting of 12 interconnected link lines ( Fig.…”

Numerical compact modeling approach of dispersive magnetoelectric media based on scattering parameters

“…1) one or more directional space steps (x, z and z) are not the equal. Relations between incident V i and reflected V r voltage wave components of the twelve-port non uniform hybrid TLM cell [2] can be presented as:…”

“…Numerical modeling techniques nowadays represent important tools in a research process of complex materials especially when it is not possible or worthwhile to solve a problem with analytical approach. Two most used discrete time domain numerical techniques, the Finite Difference Time Domain (FD-TD) method [1] and Transmission Line Matrix (TLM) method [2] are very suitable for solving problems of electromagnetic (EM) wave propagation through complex structures and media. Even though the FD-TD method is often favored by researchers, the TLM method offers in some cases a more straightforward approach for describing and modeling different discontinuities, internal boundaries, propagation in dispersive media etc.…”

Analysis of TLM air-vent model applicability to EMC problems for normal incident plane wave

“…There is a number of numerical techniques for computational analysis of various EM and electromagnetic compatibility (EMC) problems. Probably the most popular methods among the differential time-domain ones are the finite-difference time-domain (FD-TD) method [3] and the transmission line matrix (TLM) technique [4]. The TLM method has been already enhanced in order to efficiently account for small but influential features instead of using a fine mesh to model their presence [4][5][6][7][8].…”

“…Probably the most popular methods among the differential time-domain ones are the finite-difference time-domain (FD-TD) method [3] and the transmission line matrix (TLM) technique [4]. The TLM method has been already enhanced in order to efficiently account for small but influential features instead of using a fine mesh to model their presence [4][5][6][7][8]. One of these socalled sub-cell models is presented in [9][10][11] to permit modeling of air-vents on thin and thick enclosure metal walls.…”