Numerical Analysis in Electromagnetics: the TLM Method

The aim of this book is to give a broad overview of the TLM (Transmission Line Matrix) method, which is one of the "time-domain numerical methods". These methods are reputed for their significant reliance on computer resources. However, they have the advantage of being highly general. The TLM method has acquired a reputation for being a powerful and effective tool by numerous teams and still benefits today from significant theoretical developments. In particular, in recent years, its ability to simulate various situations with excellent precision, including complex materials, has been.

Cover; Numerical Analysis in Electromagnetics; Title Page; Copyright Page; Table of Contents; Introduction; Chapter 1. Basis of the TLM Method: the 2D TLM Method; 1.1. Historical introduction; 1.2. 2D simulation; 1.2.1. Parallel node; 1.2.2. Series node; 1.2.3. Simulation of inhomogeneous media with losses; 1.2.4. Scattering matrices; 1.2.5. Boundary conditions; 1.2.6. Dielectric interface passage conditions; 1.2.7. Dispersion of 2D nodes; 1.3. The TLM process; 1.3.1. Basic algorithm; 1.3.2. Excitation; 1.3.3. Output signal processing; Chapter 2. 3D Nodes; 2.1. Historical development.

2.1.1. Distributed nodes2.1.2. Asymmetrical condensed node (ACN); 2.1.3. The symmetrical condensed node (SCN); 2.1.4. Other types of nodes; 2.2. The generalized condensed node; 2.2.1. General description; 2.2.2. Derivation of 3D TLM nodes; 2.2.3. Scattering matrices; 2.3. Time step; 2.4. Dispersion of 3D nodes; 2.4.1. Theoretical study in simple cases; 2.4.2. Case of inhomogeneous media; 2.5. Absorbing walls; 2.5.1. Matched impedance; 2.5.2. Segmentation techniques; 2.5.3. Perfectly matched layers; 2.5.4. Optimization of the PML layer profile; 2.5.5. Anisotropic and dispersive layers.

2.5.6. Conclu…