Numerical Electromagnetics: The FDTD MethodBeginning 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. |
Contents
| 1 | |
| 8 | |
3 Partial differential equations and physical systems | 34 |
4 The FDTD grid and the Yee algorithm | 72 |
5 Numerical stability of finite difference methods | 113 |
6 Numerical dispersion and dissipation | 132 |
7 Introduction of sources | 152 |
8 Absorbing boundary conditions | 174 |
9 The perfectly matched layer | 199 |
Other editions - View all
Numerical Electromagnetics: The FDTD Method Umran S. Inan,Robert A. Marshall No preview available - 2011 |
Common terms and phrases
accuracy algorithm analysis angle applied approximation assumed becomes boundary condition centered Chapter coefficient complex conductivity consider constant coordinates cylindrical defined dependence derivatives described direction discretized discussed dispersion domain effective electric field electromagnetic element example FDTD algorithm FDTD method field components Figure finite difference formulation frequency function given grid cells implementation incident integral introduced involving known leapfrog lossy magnetic field materials matrix Maxwell’s equations medium mode modeling Note numerical operator permittivity phase physical plane plasma polarization problem propagation pulse refer reflection Region relation respectively scattering second-order shows side similar simple simulation solution solve space spatial stability step structures update equation values vector volume wave equation wavelength write written zero