A fully integrated multiconductor model for TLM

Efficient integral cylindrical transmission‐line matrix modelling of a coaxially loaded probe‐coupled cavity

“…Wlodarczyk and Johns [15] proposed a new wire interface for graded TLM mesh where the wire is threaded between two symmetrical condensed nodes (SCNs). The approach presented in this paper builds upon the technique for simulating coupling between complex wire structures and the transient EM field developed by Trenkic et al [16], which has been further extended to enable modelling of multiconductor cables by Wlodarczyk et al [17]. A development of the empirically based compact wire TLM model, has allowed for simple incorporation of voltage/current sources and lumped loads, taking into account physical dimensions of the wire probes which are considerably smaller than the node size and determined only by the mesh resolution [15,16].…”

A Three-Dimensional Symmetrical Condensed TLM Node for Acoustics

“…By means of this direct simulation, the wire can be modelled by using a very coarse mesh, which implies a considerable reduction in time calculation and memory requirements. This same concept can be easily extended to take into account the presence of multi-wire systems by simply adding an equivalent circuit for each wire [3]. The modelling of sharp conducting regions is another problematic situation in numerical methods because the fast variation of the physical quantities around these regions usually involves the use of a very "ne mesh.…”

“…However, perhaps the most outstanding advantage of TLM is that it provides a direct simulation of the phenomenon and not of the equations governing it. This feature has been used to simulate e$ciently the presence of special and di$cult situations such as thin conducting wires [2], multi-wire systems [3] or sharp regions [4] without using the "ne mesh required by other methods. Indeed, the presence of a thin wire is usually considered in FDTD as a means of imposing zero tangential electric "eld on the wire surface.…”

On the circuit description of TLM nodes

“…Although equations describing the medium properties were quite straightforward, directly considering Maxwell equations to obtain the scattering matrix in relatively simple nodes usually resulted in a set of non-linear equations, often with non-unique solution, which where quite difficult to solve. Therefore, the design of new nodes for specific situations, such as the presence of thin wires, thin plates, corners, etc., was very limited (Nielsen and Hoefer 1992, Wlodarczyk et al 1998, Morente et al 1999.…”