Numerical Electromagnetics : The FDTD Method (Hardcover)

Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything they need to know to begin writing FDTD simulations from scratch and to develop a thorough understanding of the inner workings of commercial FDTD software. Stability, numerical dispersion, sources and boundary conditions are all discussed in detail, as are dispersive and anisotropic materials. A comparative introduction of the finite volume and finite element methods is also provided. All concepts are introduced from first principles, so no prior modeling experience is required, and they are made easier to understand through numerous illustrative examples and the inclusion of both intuitive explanations and mathematical derivations.

Features
‧ Provides students and engineers with everything they need to know to begin writing FDTD simulations from scratch
‧ Introduces all concepts from first principles, making it ideal for newcomers with no prior modeling experience
‧ Includes a number of illustrative examples and both intuitive explanations and mathematical derivations of concepts to aid understanding

Table Of Contents

1. Introduction

2. Review of electromagnetic theory

3. Partial differential equations and physical systems

4. The FDTD grid and the Yee algorithm

5. Numerical stability of finite difference methods

6. Numerical dispersion and dissipation

7. Introduction of sources

8. Absorbing boundary conditions

9. The perfectly matched layer

10. FDTD modeling in dispersive media

11. FDTD modeling in anistropic media

12. Some advanced topics

13. Unconditionally stable implicit FDTD methods

14. Finite-difference frequency domain

15. Finite volume and finite element methods