Huygens and the computer-a powerful alliance in numerical electromagnetics

A time domain technique based on equivalent transmission line interconnections, referred to as the transmission line matrix model (TLM), is presented. The author retraces the history of TLM, from the original concepts of Huygens to the pioneering work of Peter B. Johns, and on to the latest developments in TLM modeling. The most important two-dimensional and three-dimensional TLM algorithms are explained, and new concepts in time-domain representation of frequency-dispersive boundaries are discussed. Some typical applications are described. >

[1]  P. B. Johns.  On the Relationship Between TLM and Finite-Difference Methods for Maxwell's Equations (Short Paper) , 1987 .

[2]  P. B. Johns,et al.  The Solution of Inhomogeneous Waveguide Problems Using a Transmission-Line Matrix , 1974 .

[3]  W.J.R. Hoefer,et al.  Dominant and Second-Order Mode Cutoff Frequencies in Fin Lines Calculated with a Two-Dimensional TLM Program , 1980 .

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[11]  Sina Akhtarzad.  Analysis of lossy microwave structures and microstrip resonators by the TLM method , 1975 .

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[23]  P. Saguet,et al.  An improvement for the t.l.m. method , 1980 .

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[26]  P. Saguet,et al.  Utilisation d'un nouveau type de noeud dans la méthode TLM en 3 dimensions (Usage of a new type of node in the 3D TLM method) , 1982 .

[27]  P. B. Johns,et al.  Time domain approximations in the solution of fields by time domain diakoptics , 1982 .

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[30]  P. Saguet,et al.  Le maillage rectangulaire et le changement de maille dans la méthode TLM en deux dimensions (Rectangular meshing and mesh change in the 2D TLM method) , 1981 .

[31]  P. B. Johns,et al.  Solution of 6-component electromagnetic fields in three space dimensions and time by the t.l.m. method , 1974 .

[32]  P. B. Johns.  New symmetrical condensed node for three-dimensional solution of electromagnetic-wave problems by TLM , 1986 .

[33]  P.P.M. So,et al.  A general planar circuit simulator based on two-dimensional TLM method , 1989, IEEE MTT-S International Microwave Symposium Digest.

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[36]  Peter B. Johns,et al.  Numerical solution of 2-dimensional scattering problems using a transmission-line matrix , 1971 .