Numerical Electromagnetics

Umran S. Inan is a Professor in the Department of Electrical Engineering at Stanford University, where he has led pioneering research in plasma physics and electromagnetics for over 30 years. As a committed teacher, he has authored two previous books that have become standard textbooks for electromagnetics courses, as well as receiving numerous awards including the Tau Beta Pi Excellence in Undergraduate Teaching Award and the Outstanding Service Award from the Electrical Engineering Department for Excellence in Teaching. He is a fellow of both the Institute for Electrical and Electronics Engineers (IEEE) and the American Geophysical Union (AGU). Robert A. Marshall is a Research Scientist at Boston University, where he has worked since receiving his Ph.D. in Electrical Engineering from Stanford University in 2009. He has received numerous awards from both Stanford University and the academic community, including the International Science Union (URSI) and the American Geophysical Union (AGU).

1. Introduction; 2. Review of electromagnetic theory; 3. Partial differential equations and physical systems; 4. The FDTD grid and the Yee algorithm; 5. Numerical stability of finite difference methods; 6. Numerical dispersion and dissipation; 7. Introduction of sources; 8. Absorbing boundary conditions; 9. The perfectly matched layer; 10. FDTD modeling in dispersive media; 11. FDTD modeling in anistropic media; 12. Some advanced topics; 13. Unconditionally stable implicit FDTD methods; 14. Finite-difference frequency domain; 15. Finite volume and finite element methods.