Review of Electromagnetic Waves
Partial Differential Equations and Physical Systems
Finite Difference Solutions of the Convection Equation
The FDTD Grid and the Yee Algorithm in 2- and 3-Dimensions
Numerical Stability, Dispersion and Dissipation
Wave Sources in Numerical Schemes
Total Field/Scattered Field Formulation
Absorbing Boundary Conditions, including Mur, Radiation, and Perfectly Matched Layer
Dispersive Materials and Debye Materials
Other topics as time permits
Course notes that will be handed out as the quarter progresses.
Computation Electrodynamics: The Finite-Difference Time-Domain Method, by Allen Taflove and Susan Hagness, 2nd ed., Artech House, 2000
The Finite Difference Time Domain Method for Electromagnetics
Numerical Techniques in Electromagnetics
Analysis Methods for Electromagnetic Wave Problems
Numerical Methods for Engineers and Scientists
Advances in Computational Electrodynamics,
Finite-Difference Time-Domain Method
in Computational Electrodynamics
Methods for Electromagnetics
Finite Elements for Electromagnetic Waves
Zheng, F., Z. Chen, and J. Zhang, A Finite-Difference Time-Domain Method Without the Courant Stability Conditions, IEEE Microwave and Guided Wave Letters, 9, 11, 1999.
Zheng, F., Z. Chen, and J. Zhang, Toward the Development of a Three-Dimensional Unconditionally Stable Finite-Difference Time-Domain Method, IEEE Transactions on Microwave Theory and Techniques, 48, 9, 2000.
Zheng, F. and Z. Chen, Numerical Dispersion Analysis of the Unconditionally Stable 3-D ADI-FDTD Method, IEEE Transactions on Microwave Theory and Techniques, 49, 5, 2001.
Chew, W. C. and W. H. Weedon, A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates, Microwave and Optical Technology Letters, 7, 13, 599-604, 1994.
Berenger, J. P., A Perfectly Matched Layer for the Absorption of Electromagnetic Waves, Journal of Computational Physics, 114, 185-200, 1994.
Chevalier, M. W. and U. S. Inan, A PML Using a Convolutional Curl Operator and a Numerical Reflection Coefficient for General Linear Media, IEEE Transactions on Antennas and Propagation, 52, 7, 2004.
EE142: Electromagnetic Waves or equivalent.
Homeworks: Handed out intermittently and due the following Friday. You will always have more than one week for each homework. There will be five homeworks in total.
Project: The final project is the major component of this class. For this project you will choose a topic of interest to you; discussions with the TA will determine if the project is of suitable complexity.
Grading: Tentatively set at 40% Homework, 30% Midterm, 30% Final Project.
Lecture Notes: Handed out intermittently. They will be made available on this website at the same time they are distributed in class.