PEI333 COMPUTATIONAL
ELECTROMAGNETIC 


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Prerequisite(s): 
Overview: Background
: The Heritage of the 1980's , The Rise of Partial Differential Equation
Methods , Interdisciplinary Impact of Emerging TimeDomain PDE Solvers, History of SpaceGrid TimeDomain
Techniques for Maxwell's Equations , General Characteristics of SpaceGrid
TimeDomain Approaches : Classes of FDTD and FVTD Algorithms ,
Predictive Dynamic Range , Scaling to Very Large Problem Sizes : Algorithm
Scaling Factors , Computer Architecture Scaling Factors , Defense Applications,
DualUse Electromagnetics Technology.
OneDimensional Scalar Wave Equation: PropagatingWave Solutions , Finite
Differences , FiniteDifference Approximation of the Scalar Wave Equation ,
Dispersion Relations for the OneDimensional Wave Equation , Numerical Phase
Velocity, Numerical Group Velocity, Numerical Stability: The Time Eigenvalue Problem,
The Space Eigenvalue Problem, Enforcement of
Stability .
Introduction to Maxwell’s' Equations and the Yee Algorithm: Maxwell's Equations in Three Dimensions ,
Reduction to Two Dimensions : TM Mode, TE Mode , Reduction
to One Dimension : TM Mode , TE Mode, Equivalence to the
Wave Equation in One Dimension , Yee Algorithm.
Numerical Stability: BasicStability Analysis Procedure, TM Mode, Time Eigenvalue Problem, Space Eigenvalue
Problem, Enforcement of Stability, Extension to the Full
ThreeDimensional Yee Algorithm, Generalized Stability Problem: Boundary
Conditions, Variable and Unstructured Meshing, Lossy,
Dispersive, Nonlinear, and Gain Materials
Numerical Dispersion: Basic Procedure, Substitution of TravelingWave Trial
Solution, Extension to the Full ThreeDimensional Yee Algorithm, Comparison
with the Ideal Dispersion Case, Reduction to the Ideal Dispersion Case for
Special Grid Conditions, DispersionOptimized Basic Yee Algorithm,
DispersionOptimized Yee Algorithm with FourthOrder Accurate Spatial Central
Differences: Formulation, Example, Pros and Cons
Recommended Books
1.
Taflove, A. and Hagness, S.C., Computational Electrodynamics, Artech House (2006).
Sullivan, D.M., Electromagnetic Simulation Using the FDTD Method, IEEE Computer Society Press (2000).