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The Transmission-Line Modeling Method: TLM



The Transmission-Line Modeling Method: TLM

Christos Christopoulos

ISBN: 978-0-780-31017-9 May 1995 Wiley-IEEE Press 232 Pages

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Co-published with Oxford University Press. A volume in the IEEE Press/OUP Electromagnetic Wave Series. Gain a thorough understanding of one of the most important simulation tools in computational electromagnetics with this comprehensive introduction to the TLM method. Written by one of the foremost researchers in the TLM method, this book covers the entire area of electromagnetics from the basic principles to advanced formulations and applications and including microwaves, antennas, RCS, electromagnetic compatibility, and electromagnetic heating, while providing a clear explanation of modeling principles from lumped components through 1, 2 and 3 dimensional complex systems.


Chapter 1: Introduction to Numerical Modeling.

Modeling as an Intellectual Activity.

Classification of Numerical Methods.

Electrical Circuit Analogs of Physical Systems.


Chapter 2: Transmission Line Theory.

Transient Response of a Line.

Sinusoidal Steady-State Response of a Line.

Dispersive Effects in Discretized Transmission Line Models.


Chapter 3: Discrete Models of Lumped Components.

"Link" and "Stub" Models of Capacitors.

"Link" and "Stub" Models of Inductors.

Examples of Mixed Link and Stub Models.

Modeling of Nonlinear Elements.

Modeling of Coupled Elements.

Generalized Discrete TLM Modeling.


Chapter 4: One-Dimensional TLM Models.

TLM Model of a Lossy Transmission Line.

TLM Models for One-Dimensional Electromagnetic Problems.

Study of Dispersive Effects in One-Dimensional TLM Models.


Chapter 5: Two-Dimensional TLM Models.

The Series TLM Node.

The Shunt TLM Node.

Dispersion in a Two-Dimensional Mesh.

Duality in Electromagnetics.


Chapter 6: Three-Dimensional TLM Models.

The Development of Three-Dimensional Nodes.

The Symmetrical Condensed Node.

The Variable Mesh SCN.

The Hybrid SCN.

An Alternative Derivation of Scattering Properties.

The Multigrid TLM Mesh.


Chapter 7: The Application of TLM to Diffusion Problems.

One-Dimensional Diffusion Models.

Two-Dimensional Diffusion Models.

Three-Dimensional Diffusion Models.

Applications of the TLM Model of Diffusion Processes.


Chapter 8: TLM in Vibration and Acoustics.

Torsional Waves.

Sound Waves.


Chapter 9: Application of TLM to Electromagnetic Problems.

Electromagnetic Compatibility.

Microwave Design.

Radar Cross-Section (RCS).


Electromagnetic Heating.


Chapter 10: Special Topics in TLM.

Thin-Wire Formulations.

Narrow-Slot Formulations.

Thin-Panel Formulations.

Infinitely Adjustable Boundaries.

Frequency-Domain TLM (TLM-FD).

Implementation Issues in TLM.