ECE 5340/6340 (Spring 2012)
Numerical Methods for Electromagnetics
Department of
Electrical and Computer Engineering
University of Utah,
Salt Lake City, Utah
For Spring
2010 webpage, click here.
Term
Project Information
Term Project Oral Presentation schedule. Presentations
start on Monday 4/16.
Term Project information. Deadlines, rules, and deliverables for term projects.
2D Biological
models for EM simulations. These two models represent
anatomically correct chest and head slices of a human male, to be used for the
projects on implantable antennas. Explanation
on the content of the files.
Wireless
Power Transfer (WPT) and Energy Harvesting projects: You are highly
encouraged to participate in the WPT meetings held by Dr. Gandhi and Dr. Cela. In these, information and opportunities specific
about these topics is discussed. Contact Dr. Cela to add your email to the meeting list.
This
schedule may be adjusted throughout the semester. Watch the web for changes. If
you find broken links, please email either james.nagel@utah.edu
or carlos.cela@utah.edu.
# 
Date/ 
Lecture Notes 
Reading/Lecture Notes 
Project Information (Homework) 

1 
Jan 9 
Class
Overview 
loadandplot.m
(good code) stuff.m (bad code) 

2 
Jan 11 
EM Review: Efield, permittivity, Coulomb’s
Law, Flux of a vector field, Gauss’s Law for E fields (Integral), divergence,
Gauss’s Law for E fields (Differential) 



Jan 16 
Holiday
(MLK Day) No
Class 

3 
Jan 18 
EM Review: Bfield,permeability, BiotSavart law, Gauss’s law for B fields
(integral and differential), Divergence Theorem, circulation of a vector
field, curl, Stokes Theorem. 

4 
Jan 23 
EM Review: Gradient. Laplacian.
Poisson and Laplace equations. AmpereMaxwell Law, FaradayMaxwell Law.
Continuity equation. Constitutive equations. 

5 
Jan 25 
Numerical Differentiation: Forward difference, backward
difference, central difference. Higher order derivatives. Partial
derivatives. Solution of Linear
Systems: Matrix equivalent. Solution sets. Direct vs
iterative methods. Sparse matrices. Libraries. Gaussian Elimination.
GaussSeidel method. 
GaussSeidel code
from book (may be buggy, but will help for HW3) 


6 
Jan 30 
Numerical Integration Riemann
Sums Left/rightpoint
rules Midpoint,
trapezoid, Simpson’s rules Error
bounds 


7 
Feb 1 
Numerical
Integration Examples Introduction to the Finite
Difference Method (FDM) Boundary
Conditions 


8 
Feb 6 
Sparse
Matrices 


9 
Feb 8 
Capacitance
with FDM Program
Examples 

10 
Feb 13 
Multiple
Dielectrics with FDM 

11 
Feb 15 Nagel 
QuasiStatic
Conductors with FDM Magnetic
Fields with FDM Numerical
Curl 

Feb 20 
Holiday
(President’s Day) No
Class 

12 
Feb 22 Nagel/Cela 
Helmholtz
Equation Waveguide
Eigenmodes with FDM Project
Outlines 


13 
Feb 27 Cela 
FDTD: Onedimensional, free space EH
formulation of FiniteDifference TimeDomain method. Courant condition.
Determining cell size. Examples. 


14 
Feb 29 Cela 
FDTD: Soft and hard sources. Simple
Absorbing Boundary Condition. Excitation sources. Review of wave reflection
and transmission. Formulation for propagation in dielectric mediums.
Examples. 

15 
Mar 5 Cela 
FDTD: Propagation in lossy dielectrics.
DH formulation. Frequencydomain and FDTD. 

16 
Mar 7 Cela 
FDTD: Complex media. Debye formulation
for dispersive materials. Example: Quarterwavelength and Halfwavelength
filters using dielectric slabs. 
Link to
Debye formulation presentation from Oregon State University 

Mar 1216 
Spring
Break 

17 
Mar 19 Cela 
FDTD: 2D DH formulation. Perfect
Matched Layer (PML). 


18 
Mar 21 Cela 
FDTD: Modeling using FDTD. DFT/FFT using
Matlab. Advanced excitation sources. Review of rectangular waveguide modes. HW/Project Study
Session: Friday 23, 11am12:30pm WEB 1460 
Rectangular
waveguide cutoff frequency calculation. HW10 problem 2:
building floorplant layout example. 
Code to build a Gaussian pulse for a given BW
and center frequency 

19 
Mar 26 Nagel 
Method of
Moments (MoM) 

20 
Mar 28 Nagel 
Method of
Moments (MoM) 

21 
Apr 2 Nagel 
Finite
Element Method (FEM) 


22 
Apr 4 Nagel 
Finite
Element Method (FEM) 


23 
Apr 9 Cela 
Admittance Method: Systematic network solving
review. Building linear systems from circuit networks. 
Systematic circuit
network solving notes (resistors and current sources) 

24 
Apr 11 Cela 
Admittance Method: The quasistatic
approximation. From bulk model to network model. Examples. 
3D Admittance Method. Static,
frequency domain, timestepping, adaptive multiresolution meshing, etc. 
2D Admittance Method example code
(includes network solver from previous lecture) 

25 
Apr 16 Cela/Nagel 
Project Presentations 

26 
Apr 18 Cela/Nagel 
Project Presentations 


27 
Apr 23 Cela/Nagel 
Project Presentations 


28 
Apr 25 Cela/Nagel 
Project Presentations 


