Transmission Line Matrix (TLM) and network methods applied to electromagnetic field computation

It is shown that the Transmission Line Matrix (TLM) method provides a complete representation of complex electrodynamics by topological network structures. The Transmission Line Segment Circuit (TLSC) provides an extension and generalization of the TLM method, allowing also to include compact lumped element circuit models in the TLM modeling. We discuss the application of space-discrete models and network concepts in electromagnetic field theory. Methods based on these concepts are not only a basis for efficient numerical solution of complex problems but also versatile tools for problem formulation and solution.

[1]  Peter Russer,et al.  Electromagnetic Field Computation by Network Methods , 2009 .

[2]  C. Christopoulos,et al.  The Transmission-line Modeling Method: TLM , 1995, IEEE Antennas and Propagation Magazine.

[3]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[4]  P. Russer,et al.  A Prony's model based signal prediction (PSP) algorithm for systematic extraction of Y-parameters from TD transient responses of electromagnetic structures , 2004, 15th International Conference on Microwaves, Radar and Wireless Communications (IEEE Cat. No.04EX824).

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

[6]  P. Russer,et al.  Full-wave analysis and model-based parameter estimation approaches for Y-matrix computation of microwave distributed RF circuits , 2001, 2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157).

[7]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[8]  Wolfgang J. R. Hoefer,et al.  FAST S‐PARAMETER COMPUTATION OF A MICROSTRIP INTERDIGITAL FILTER USING TLM, PRONY'S AND DIGITAL FILTERING TECHNIQUES , 1996 .

[9]  W.J.R. Hoefer,et al.  Autoregressive (AR) and autoregressive moving average (ARMA) spectral estimation techniques for faster TLM analysis of microwave structures , 1994 .

[10]  Wolfgang J. R. Hoefer,et al.  The Transmission-Line Matrix Method--Theory and Applications , 1985 .

[11]  Peter Russer,et al.  Bandwidth Optimization using Transmission Line Matrix Modeling and System Identification , 2008 .

[12]  Christos Christopoulos Transmission Line Matrix (TLM) Method , 2005 .

[13]  Peter Russer,et al.  A field theoretical derivation of TLM , 1994 .

[14]  T. Itoh Numerical techniques for microwave and millimeter-wave passive structures , 1989 .

[15]  Peter Russer,et al.  The hilbert space formulation of the TLM method , 1993 .

[16]  L. Felsen,et al.  Electromagnetic field representations and computations in complex structures III: network representations of the connection and subdomain circuits , 2002 .

[17]  P.I. Richards,et al.  Resistor-Transmission-Line Circuits , 1948, Proceedings of the IRE.

[18]  P. Russer,et al.  The ultra wideband transfer function representation of complex three-dimensional electromagnetic structures , 2004, 34th European Microwave Conference, 2004..

[19]  W.J.R. Hoefer,et al.  A TLM algorithm simulator for the visualization of time discrete electromagnetic processes , 1994 .

[20]  Peter Russer,et al.  The Transmission Line Matrix Method , 2000 .

[21]  C. Baum The singularity expansion method , 1976 .