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The major strength of this book is the first four chapters, which serve as the foundation for how to learn the method in simple language. The book begins with a simple one-dimensional simulation and progresses to a three-dimensional simulation. Each chapter contains a concise explanation of an essential concept and instruction on its implementation into computer code. Projects that increase in complexity are included, ranging from simulations in free space to propagation in dispersive media. Peripheral topics that are pertinent to time-doma... MORE
1. One-Dimension Simulation with the FDTD Method
1.1 One-dimensional Free Space Formulation
1.2 Stability and the FDTD method
1. 3 The Absorbing Boundary Condition in One Dimension
1.4 Propagation in a Dielectric Medium
1.5 Simulating Different Sources
1.6 Determining Cell Size
1.7 Propagation in a Lossy Dielectric Medium
2. More on One-Dimensional Simulation
2.1 Reformulation Using the Flux Density
2.2 Calculating the Frequency Domain Output
2.3 Frequency-Depend... MORE
2.4 Formulation Using Z Transforms
2.5 Formulating a Lorentz Medium
3. Two-Dimensional Simulation
3.1 FDTD in Two Dimensions
3.2 The Perfectly Matched Layer (PML)
3.3 Total/Scattered Field Formulation
4. Three-Dimensional Simulation
4.1 Free Space Formulation
4.2 The PML in Three Dimensions
4.3 The Total/Scattered Field Formulation in Three Dimensions
5. Examples of Electromagnetic Simulation Using FDTD
5.1 Nonlinear Optical Simulation
5.2 Finding the Eigenfunctions of a Two-Dimensional EM Cavity
5.3 Simulatin of RF Coils
6. Quantum Simulation
6.1 Simulation of the One-Dimensional Schrödinger Equation
6.2 Tunneling
6.3 Why Semiconductors Have Energy Bands
Appendix The Z Transform
A.1 The Sampled Time Domain and the Z Transform
A.2 Examples
A.3 Approximations in Going from the Fourier to the Z Domain.