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/ 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 HW 3 Solutions
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 Program Examples		Pseudo code for SOR Pseudo code for gradient		HW 5 HW 5 Solutions HW 5 Matlab Codes
10	Feb 13 Nagel	Multiple Dielectrics with FDM
11	Feb 15 Nagel	Characteristic Impedance with FDM Quasi-Static Conductors with FDM Magnetic Fields with FDM Numerical Curl		Pozar Microstrip Z0 Impedance calculations with FDM		HW 6 HW 6 Solutions HW 6 Matlab Codes
	Feb 20	Holiday (President’s Day) No Class
12	Feb 22 Nagel/Cela	Helmholtz Equation Waveguide Eigenmodes with FDM Project Outlines		Term Project	HW 7 HW 7 Solutions HW 7 Matlab Codes Poisson_FDM_Solver_2D.m
13	Feb 27 Cela	FDTD: One-dimensional, free space E-H formulation of Finite-Difference Time-Domain method. Courant condition. Determining cell size. Examples.			FDTD 1D simple example
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.		FDTD notes Simple ABC Notes on waveforms Reflection and transmission FDTD in non-lossy dielectric	HW8 HW8 Solution Gaussian.m
15	Mar 5 Cela	FDTD: Propagation in lossy dielectrics. D-H formulation. Frequency-domain and FDTD.		FDTD and PML articles FDTD in lossy dielectric D-H formulation Frequency domain	FDTD D-H code (1D) code FDTD D-H code w/ frequency domain analysis code
16	Mar 7 Cela	FDTD: Complex media. Debye formulation for dispersive materials. Example: Quarter-wavelength and Half-wavelength filters using dielectric slabs.		Link to Debye formulation presentation from Oregon State University FDTD in dispersive lossy media (Debye model) notes	HW9 HW9 Solution FDTD 1D Debye (dispersive medium) code Band-pass filter code Band-stop filter code
	Mar 12-16	Spring Break
17	Mar 19 Cela	FDTD: 2D D-H formulation. Perfect Matched Layer (PML).			FDTD 2D TM w/PML code
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, 11am-12:30pm WEB 1460	MEEP MIT FDTD software (Linux/OS X) - Google for instructions on how to install on a Windows PC, it can be done but is a bit more involved. MEEP article. Rectangular waveguide cutoff frequency calculation. HW10 problem 2: building floorplant layout example.		HW 10 HW 10 Solution FFT example code Rising sinusoid code Code to build a Gaussian pulse for a given BW and center frequency
19	Mar 26 Nagel	Method of Moments (MoM)	MoM Lecture Notes
20	Mar 28 Nagel	Method of Moments (MoM)			HW 11 HW 11 Answer Key
21	Apr 2 Nagel	Finite Element Method (FEM)	FEM Lecture Notes
22	Apr 4 Nagel	Finite Element Method (FEM)			HW 12
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, time-stepping, adaptive multi-resolution 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