E8 202: Computational Electromagnetics (3:0)

Instructors: K.J. Vinoy and Dipanjan Gope

Term: August-December

2016 Class Timings: Tues/Thurs 5:15-6:45pm

Class Venue: ECE 1.07

Lecture Notes

Web Discussion Forum

The objective of this course is to provide hands-on experience with contemporary numerical approaches in electromagnetics (EM) to student researchers for applications in RF-microwave circuits, high-speed interconnects, MEMS, antenna analysis and design and bio-medical imaging.

Module 1: Review of basic EM principles
  • Maxwell’s equations
  • Applications of Computational Electromagnetics
  • Electrostatics and Magnetostatics
  • Wave equation and propagation
  • Scalar and vector potentials
  • Surface equivalence principle
  • Greens Function
  • Boundary conditions
  • Linear algebra for computational EM

Module 2: Method of Moments (MoM)
  • 2D vs 2.5D vs. 3D Formulations
  • Electrostatic Formulation: Capacitance matrix extraction
  • Magnetostatic Formulation: Inductance matrix extraction
  • Electric Field Integral Equation (EFIE): S-parameter extraction
  • Partial Element Equivalent Circuit (PEEC) Method
  • Magnetic Field Integral Equation (MFIE) and Combined Field Integral Equation (CFIE)
  • PMCHWT Formulation: Dielectric modeling
  • Parallelization techniques

Module 3: Finite Difference Time Domain (FDTD) Method
  • Basics of FDTD: Finite Differences
  • FDTD Solution of Maxwell Equations in simple cases
  • Scattered field vs total field formulation
  • Implementation issues
  • Outer Radiation Boundary Conditions
  • Yee cell, Yee algorithm for 3D Formulation of FDTD
  • Perfectly Matched Layer ABC
  • Frequency Domain Results from Time Domain Output of FDTD
  • Computational issues: Stair casing errors, numerical dispersion
  • Frequency Dependent Materials

References
  1. A. Taflove and SC Hagness Computational Electrodynamics: The Finite Difference Time Domain Method, 3rd Ed., Artech House
  2. Andrew F. Peterson, Scott L. Ray, Raj Mittra: Computational Methods for Electromagnetics, 1st Ed., IEEE Press Series on Electromagnetic Wave Theory
  3. Walton C. Gibson: The Method of Moments in Electromagnetics, 1st Ed., Chapman and Hall
  4. Roger F. Harrington: Field Computation by Moment Methods, 1993, Wiley-IEEE Press