ECE 5340/6340 (Spring 2012)

Numerical Methods for Electromagnetics

Department of Electrical and Computer Engineering

University of Utah, Salt Lake City, Utah

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1/18/12 Syllabus has been updated: Office hours have changed. Class has a TA assigned. Homework can now be turned in using a locker, or brought to class on Wednesday.

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/ Instructor	Lecture Notes	Reading/Lecture Notes	Project Information (Homework)
1	Jan 9 Cela/Nagel	Class Overview Numerical EM Applications Programming Review	Syllabus	createscalarfield.m plotvectorfield.m loadandplot.m (good code) stuff.m (bad code)
2	Jan 11 Cela	EM Review: E-field, permittivity, Coulomb’s Law, Flux of a vector field, Gauss’s Law for E fields (Integral), divergence, Gauss’s Law for E fields (Differential)	Gauss’s Law E (integral) Divergence Gauss’s Law E (differential)	HW 1 HW 1 Solution HW 1 Matlab code P1 HW 1 Matlab code P2 Matlab note on array indexing
	Jan 16	Holiday (MLK Day) No Class
3	Jan 18 Cela	EM Review: B-field,permeability, Biot-Savart law, Gauss’s law for B fields (integral and differential), Divergence Theorem, circulation of a vector field, curl, Stokes Theorem.	Gauss’s Law B (integral) Gauss’s Law B (differential) Divergence Theorem Circulation and curl Stokes Theorem	HW 2 HW 2 Solution HW 2 Matlab code
4	Jan 23 Cela	EM Review: Gradient. Laplacian. Poisson and Laplace equations. Ampere-Maxwell Law, Faraday-Maxwell Law. Continuity equation. Constitutive equations.	Gradient, Laplacian, Poisson Faraday-Maxwell Law Ampere-Maxell Law Constitutive relations and continuity equation
5	Jan 25 Cela	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. Gauss-Seidel method.	Numerical differentiation Linear systems Direct vs iterative methods Gaussian elimination Gauss-Seidel method Gauss-Seidel code from book (may be buggy, but will help for HW3)	HW 3
6	Jan 30 Nagel	Numerical Integration Riemann Sums Left/right-point rules Midpoint, trapezoid, Simpson’s rules Error bounds	Introduction to Numerical Integration
7	Feb 1 Nagel	Numerical Integration Examples Introduction to the Finite Difference Method (FDM) Laplace/Poisson Equations Five-Point Star Matrix Inversion Boundary Conditions Programming Examples	Solving the Generalized Poisson Equation using FDM	HW 4 HW 4 Solutions HW 4 Matlab Codes solarData.mat
8	Feb 6 Nagel	Sparse Matrices Successive Over-Relaxation (SOR) Numerical Gradient
9	Feb 8 Nagel	Capacitance with FDM	Pseudo code for SOR	HW 5
10	Feb 13 Nagel	Characteristic Impedance with FDM (microstrip lines) Programming Examples
11	Feb 15 Nagel	Quasi-Static FDM Finite Conductors
12	Feb 20 Nagel	Helmholtz Equation FDM mode solutions for waveguides Programming Examples
	Feb 22	Holiday (President’s Day) No Class
13	Feb 27 Nagel
14	Feb 29 Cela	Finite-Difference Time-Domain Method (FDTD)
15	Mar 5 Cela	Finite-Difference Time-Domain Method (FDTD)
16	Mar 7 Cela	Finite-Difference Time-Domain Method (FDTD)
	Mar 12-16	Spring Break
17	Mar 19 Cela	Finite-Difference Time-Domain Method (FDTD)
18	Mar 21 Cela	Finite-Difference Time-Domain Method (FDTD)
19	Mar 26 Cela	Finite-Difference Time-Domain Method (FDTD)
20	Mar 28 Cela	Finite-Difference Time-Domain Method (FDTD)
21	Apr 2 Cela	Finite-Difference Time-Domain Method (FDTD)
22	Apr 4 Nagel	Method of Moments (MoM)
23	Apr 9 Nagel	Method of Moments (MoM)
24	Apr 11 Nagel	Method of Moments (MoM)
25	Apr 16 Nagel	Method of Moments (MoM)
26	Apr 18 Cela	Finite Element Method (FEM)
27	Apr 23 Cela	Finite Element Method (FEM)
28	Apr 25 Cela	Finite Element Method (FEM)