Includes bibliographical references (pages 161-169) and index.

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. Conclusion2.6. Orthogonal curvilinear mesh; 2.6.1. 3D TLM curvilinear cell; 2.6.2. The TLM algorithm; 2.6.3. Scattering matrices for curvilinear nodes; 2.6.4. Stability conditions and the time step; 2.6.5. Validation of the algorithm; 2.7. Non-Cartesian nodes; Chapter 3. Introduction of Discrete Elements and Thin Wires in the TLM Method; 3.1. Introduction of discrete elements; 3.1.1. History of 2D TLM; 3.1.2. 3D TLM; 3.1.3. Application example: modeling of a p-n diode; 3.2. Introduction of thin wires; 3.2.1. Arbitrarily oriented thin wire model.

3.2.2. Validation of the arbitrarily oriented thin wire modelChapter 4. The TLM Method in Matrix Form and the Z Transform; 4.1. Introduction; 4.2. Matrix form of Maxwell's equations; 4.3. Cubic mesh normalized Maxwell's equations; 4.4. The propagation process; 4.5. Wave-matter interaction; 4.6. The normalized parallelepipedic mesh Maxwell's equations; 4.7. Application example: plasma modeling; 4.7.1. Theoretical model; 4.7.2. Validation of the TLM simulation; 4.8. Conclusion; APPENDICES; Appendix A. Development of Maxwell's Equations using the Z Transform with a Variable Mesh.

Appendix B. Treatment of Plasma using the Z Transform for the TLM MethodBibliography; Index.

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.

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