Introduction to the finite-difference time-domain (FDTD) method for electromagnetics /
Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics provides a comprehensive tutorial of the most widely used method for solving Maxwell's equations - the Finite Difference Time-Domain Method. This book is an essential guide for students, researchers, and profes...
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| Format: | Book |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
©2011.
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| Series: | Synthesis lectures on computational electromagnetics ;
# 27. |
| Subjects: |
Table of Contents:
- 1. Introduction
- A brief history of the FDTD method
- Limitations of the FDTD method
- Alternate solution methods
- FDTD software
- Outline to the remainder of the text
- References.
- 2. 1D FDTD modeling of the transmission line equations
- The transmission line equations
- Finite difference approximations
- Explicit time update solution
- Numerical dispersion
- Stability
- Sources and loads
- Problems
- References.
- 3. Yee algorithm for Maxwell's equations
- Maxwell's equations
- The Yee-algorithm
- Gauss's laws
- Finite integration technique
- Stability
- Numerical dispersion and group delay
- Material and boundaries
- Lossy media
- Dispersive media
- Non-uniform gridding
- Problems
- References.
- 4. Source excitations
- Introduction
- Source signatures
- The Gaussian pulse
- The Blackman-Harris window
- The differentiated pulse
- The modulated pulse
- Sinusoidal steady-state
- Current source excitations
- Volume current density
- Surface current density
- Lumped circuit source excitations
- Discrete voltage source
- Discrete Thévenin source
- Lumped loads
- Plane wave excitation
- The total-field scattered field formulation
- General description of a uniform plane wave
- Computing the discrete incident field vector
- Numerical dispersion
- Inhomogeneous media
- Problems
- References.
- 5. Absorbing boundary conditions
- Introduction
- The first-order Sommerfeld ABC
- The Higdon ABC
- The Betz-Mittra ABC
- Problems
- References.
- 6. The perfectly matched layer (PML) absorbing medium
- Introduction
- The anisotropic PML
- Stretched coordinate form of the PML
- PML reflection error
- The ideal PML
- PML parameter scaling
- Reflection error
- The complex frequency shifted (CFS) PML
- Implementing the CFS-PML in the FDTD method
- An ADE form of the CFS-PML
- Yee-algorithm for the CFS-PML
- Example of the CFS-PML
- Problems
- References.
- 7. Subcell modeling
- Introduction
- Thin wires
- The basic thin-wire subcell model
- Curvature correction
- Modeling the end-cap
- Delta-gap source
- A transmission line feed
- Conformal FDTD methods for conducting boundaries
- Dey-Mittra (DM) conformal FDTD method for conducting Boundaries
- Yu-Mittra (YM) conformal FDTD method for conducting Boundaries
- BCK conformal FDTD method for conducting boundaries
- Narrow slots
- Conformal FDTD methods for material boundaries
- Thin material sheets
- Problems
- References.
- 8. Post processing
- Introduction
- Network analysis
- Discrete network port parameterization
- Admittance-parameters
- Scattering parameters
- Near-field to far-field (NF-FF) transformations
- Huygen surface
- Frequency domain NF-FF transform
- Antenna gain
- Scattering cross section
- Problems
- References.
- A. MATLAB implementation of the 1D FDTD model of a uniform transmission line
- A.1. Translating the discrete FDTD equations to a high-level programming language
- B. Efficient implementation of the 3D FDTD algorithm
- B.1. Top-level design
- B.2. Array indexing the 3D-FDTD
- B.3. Lossy and inhomogeneous media
- B.4. Implementing the CFS-CPML
- B.5. Edge length normalization
- B.6. General FDTD update equations
- Author's biography
- Index.