
- English
- PDF
- Available on iOS & Android
About this book
The finite difference time domain (FDTD) method computes the time evolution of a system at discrete time steps, and periodically visualizing the results lets us view its time evolution, yielding valuable physical insights. FDTD and FDTD-like methods can be used to solve a wide variety of problems, including—but not limited to—the wave equation, Maxwell's equations, and the Schrödinger equation. In addition to introducing useful new methodologies, this book provides readers with analytical background and simulation examples that will help them develop their own methodologies to solve yet-to-be-posed problems. The book is written for students, engineers, and researchers grappling with problems that cannot be solved analytically. It could also be used as a textbook for a mathematical physics or engineering class. An accompanying CD provides supplemental Mathcad and pseudocode programs.
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Information
Table of contents
- Contents
- Preface
- 1 Finite Difference Approximations
- 2 Accuracy, Stability, and Convergence of Numerical Algorithms
- 3 Finite Difference Models of the Simple Harmonic Oscillator
- 4 The 1D Wave Equation
- 5 FDTD Algorithms for the 1D Equation
- 6 Program Development and Applications of FDTD Algorithms in One Dimension
- 7 FDTD Algorithms to Solve the Wave Equation in Two and Three Dimensions
- 8 Review of Electromagnetic Theory
- 9 The Yee Algorithm in One Dimension
- 10 The Yee Algorithm in Two and Three Dimensions
- 11 Example Applications of FDTD
- 12 FDTD for Dispersive Materials
- 13 Photonics Problems
- 14 Photonics Design
- Appendix A Supplemental Topics
- Appendix B List of Programs and Instructions
- Index
- Supplemental files
- About the Authors