Umran S. Inan, Robert A. MarshallCambridge University Press, 4/7/2011EAN 9780521190695, ISBN10: 052119069XHardcover, 404 pages, 24.7 x 17.4 x 2.2 cmLanguage: EnglishBeginning 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.1. Introduction2. Review of electromagnetic theory3. Partial differential equations and physical systems4. The FDTD grid and the Yee algorithm5. Numerical stability of finite difference methods6. Numerical dispersion and dissipation7. Introduction of sources8. Absorbing boundary conditions9. The perfectly matched layer10. FDTD modeling in dispersive media11. FDTD modeling in anistropic media12. Some advanced topics13. Unconditionally stable implicit FDTD methods14. Finite-difference frequency domain15. Finite volume and finite element methods.
