University of Illinois

Urbana Champaign

Electrical and Computer Engineering

 
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Fall 2015: ECE 329P, "Fields and Waves with Mathematica "

Course Description: ECE 329: Electromagnetic fields and waves fundamentals and their engineering applications: static electric and magnetic fields; energy storage; Maxwell's equations for time-varying fields; wave solutions in free space, dielectrics and conducting media, transmission line systems; time- and frequency-domain analysis of transmission line circuits and Smith chart applications. Course Information: Prerequisite: ECE 210.

Section P: ECE329P will be a Mathematica-based approach to Fields and Waves.  The objective of the course is to allow students to leverage the power of Mathematica to illuminate and illustrate core concepts in Electricity and Magnetism.  The ability to study these concepts through both advanced analytical and numerical techniques will give students a tool-kit for describing, solving, and understanding both basic and perhaps more importantly, more complicated, E&M problems.  The course will consist of two traditional lectures per week (supplemented by in-class Mathematica demos) and a third, computer-based lecture, in which the students walk through a more complicated problem/concept using Mathematica, in a computer lab setting.  This is not, however, a course on Mathematica.  No prior experience with the language is required, and the focus of the course will be on using basic Mathematica techniques for understanding E&M, as opposed to using E&M to teach Mathematica.

Grading

Homeworks/Exercises: 30%

Mid-Term Exams (x3): 45%

Final Exam: 25%

Contact Information, Office Hours

Instructor: Prof. Wasserman

Office: MNTL 2258

e-mail: dwass@illinois.edu

Office Hours: Friday, 10-11am

TA: Lan Yu

Office: MNTL 1304

e-mail: lanyu2@illinois.edu

Office Hours: Tues. and Thurs. 5-6pm

Textbooks and Reading Assignments

No textbook is required for this course.  All exams will be based on materials provided to students on-line and in lecture notes.

Please complete the following modules from "Hands-On Start to Mathematica" before Lecture 1.

Notebooks

Methods to Getting Started

Basic Calculations

Basic Graphics

Making Interactive Models

These should take about 1-2 hrs total.

Course Calendar
August

Monday

Tuesday

Wednesday

Thursday

Friday

24: Lecture 0

Location: Computer Lab (2022ECEB)

Topics

  • Class Overview and Course Outline
  • Intro to Mathematica

In Class Exercise: Exercise 0

Assignment, Due 8/26, 1p.m.

Exercise 0: Complete Hands-On Start to Mathematica, first 5 modules.

Module 1: Notebooks

Module 2: Methods to Get Started

Module 3: Basic Calculations

Module 4: Basic Graphics

Module 5: Making Interactive Models

Written HW1, problems 2 and 3 (Due 8/31)

25

26: Lecture 1

Location: Classroom Lecture (2017ECEB)

Topics

  • Coordinate systems
  • Vectors and Vector Fields
  • Lorentz Force Law
  • Coulomb's Law

Assignment, Due 8/28, 1p.m.

Exercise 1

27

28: Lecture 2

Location: Classroom Lecture (2017ECEB)

Topics

  • Superposition of Vector Fields
  • Field Lines
  • Electric Flux
  • Gauss's Law

Assignment, Due 8/31, 1p.m.

Exercise 2

31: Lecture 3

Location: Computer Lab (2022ECEB)

Topic: Constructing Electric Fields

  • Plotting Electric Fields from charge geometries using Gauss's Law
    1. Charge sheet
    2. Slab of Charge
    3. Animating charges
    4. Electron pinball!

Assignment, Due 9/2, 1p.m.

Complete Exercise 3.

Written HW2: problems 2, 4, 6, and 7.

       

September

Monday

Tuesday

Wednesday

Thursday

Friday

2: Lecture 4

Location: Classroom Lecture (2017ECEB)

Topics

  • Gauss's Law in Integral, Differential Forms
  • Divergence
  • Curl
  • Curl-Free Fields

Assignment, Due 9/4, 2p.m.

Exercise 4

4: Lecture 5

Location: Classroom Lecture (2017ECEB)

Topics

  • Finding the electrostatic potential from an electric field
  • Line integrals
  • Conservation of Energy
  • Stokes Theorem

Assignment, Due 9/9, 2p.m.

Exercise 5

 

7

Labor Day, No Class

8

HW 3:

problems:

2,4,5,7

9: Lecture 6

Location: Classroom Lecture (2017ECEB)

Topics

  • Stokes Theorem Continued
  • Boundary Conditions
  • Examples of Boundary COndition problems

Assignment, Due 9/11, 2p.m.

Exercise 6

 

 

 

10

 

11: Lecture 7

Location: Classroom Lecture (2017ECEB)

Topics

  • LaPlace, Poisson Equations
  • Elelctric Fields in Conductors
  • Introduction to Insulatros and Conductors

Assignment, Due 9/14, 2p.m.

Exercise 7

14: Lecture 8

Location: Computer Lab (2022ECEB)

Topic: Dielectrics in External Fields

  • Microscopic model of a dielectric
  • Modeling the atom as a spring-mass system
  • Visualizing Electric/Displacement fields in dielectrics

Assignment, Due 9/16, 2p.m.

Complete Exercise 8.

15

HW 4:

problems:

2,3,5

16: Lecture 9

Location: Classroom Lecture (2017ECEB)

Topics

  • Conductors
  • Dielectrics
  • The Displacement Field

Assignment, Due 9/18, 2p.m.

Exercise 9

 

 

17

 

18: Lecture 10

Location: Classroom Lecture (2017ECEB)

Topics

  • Capacitance and conductance
  • Parallel Plate and Coax Capacitors
  • Charged Slabs

Assignment, Due 9/21, 2p.m.

Exercise 10

21: Lecture 11

Location: Computer Lab (2022ECEB)

Topic:Modeling the response of free carriers to an electric field

Assignment, Due 9/23, 2p.m.

Complete Exercise 11.

22

Mid-Term Exam 1

HW 5:

problems:

2, 3, 5

23: Lecture 12

Location: Classroom Lecture (2017ECEB)

Topics

  • Magnetic field from an infinite line of current
  • Biot-Savart Law
  • Ampere's Law

Assignment, Due 9/25, 2p.m.

Exercise 12

 

 

24

 

25: Lecture 13

Location: Classroom Lecture (2017ECEB)

Topics

  • Solving for Magnetic fields from symmetric currents
  • Generating a Div-free field, the vector potential
  • Faraday's Law, Induced EMF

Assignment, Due 9/28, 2p.m.

Exercise 13

28: Lecture 14

Location: Computer Lab (2022ECEB)

Topic:Modeling the magnetic field from single current loops, solenoids

Assignment, Due 9/30, 2p.m.

Complete Exercise 14, Test.cdf

29

HW 6:

problems:

2,4,5,7

30: Lecture 15

Location: Classroom Lecture (2017ECEB)

Topics

  • Inductance
  • Inductance of Parallel Plates and Coax Cables

Assignment, Due 10/2, 2p.m.

Exercise 15

 

 

 

October

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

1

2: Lecture 16

Location: Classroom Lecture (2017ECEB)

Topics

  • Charge conservation
  • Displacement Current
  • Revising Ampere's LAw
  • Full Maxwell's Equations
  • Magnetism in Materials, permeability

Assignment, Due 10/5, 2p.m.

Exercise 16

5: Lecture 17

Location: Computer Lab (2022ECEB)

Topic:Magnetic and Displacement Fields of a Charging Conductor

Assignment, Due 10/7, 2p.m.

Complete Exercise 17.

6

HW 7:

Problems:

2,3,5

7: Lecture 18

Location: Classroom Lecture (2017ECEB)

Topics

  • (More) Boundary Conditions
  • The Wave Equation

Assignment, Due 10/9, 2p.m.

Exercise 18

 

 

8

9: Lecture 19

Location: Classroom Lecture (2017ECEB)

Topics

  • Plotting d'Alembert wavesforms
  • Sources of E&M Waves
  • Waves from a Uniform Surface Current

Assignment, Due 10/12, 2p.m.

Exercise 19

12: Lecture 20

Location: Computer Lab (2022ECEB)

Topic:Propagation and Conservation of Energy in Current Source/ Plane Wave Systems

Assignment, Due 10/14, 2p.m.

Complete Exercise 20.

13

HW 8:

Problems:

1, 3, 4

14: Lecture 21

Location: Classroom Lecture (2017ECEB)

Topics

  • Poynting Theorem
  • Joule Heating
  • Poynting VEctor
  • Monochromatic Waves
  • Phasor Notation

Assignment, Due 10/16, 2p.m.

Exercise 21

 

 

15

16: Lecture 22

Location: Classroom Lecture (2017ECEB)

Topics

  • Maxwell's Equations in Phasor form
  • Wave equation in conducting medium
  • Complex Impedence, Propagation Vectors

Assignment, Due 10/16, 2p.m.

Exercise 22

19: Lecture 23

Location: Computer Lab (2022ECEB)

Topic:Waves in Conducting Media

Assignment, Due 10/21, 2p.m.

Complete Exercise 23.

20

HW 9:

Problems:

2, 4

21:Lecture 25

Location: Classroom Lecture (2017ECEB)

Topics

  • E&M waves incident on a surfac
  • Reflection, transmission coefficients
  • Standing Waves

Assignment, Due 10/23, 2p.m.

Exercise 25

 

 

22

23: Lecture 24

Location: Classroom Lecture (2017ECEB)

Topics

  • Carrier/Signal Waves
  • Linear/Circular/Elliptical Polarization

Assignment, Due 10/26, 2p.m.

Exercise 24

26: Lecture 26

Location: Computer Lab (2022ECEB)

Topic:Visualizing reflection and transmission at an air/conductor interface.

Assignment, Due 10/28, 2p.m.

Complete Exercise 26.

27

HW 10:

Problems:

1, 4, 5

28: Lecture 27

Location: Classroom Lecture (2017ECEB)

Topics

  • Guided Waves
  • Telegrapher's Equations
  • Characteristic Impedance
  • Comparing Plane Waves and Guided Waves

Assignment, Due 10/30, 2p.m.

Exercise 27

 

 

29

30: Lecture 28

Location: Classroom Lecture (2017ECEB)

Topics

  • Transmission Line Circuit
  • Injection, Load and Source Reflection Coefficients
  • The Bounce Diagram

Assignment, Due 11/2, 2p.m.

Exercise 28

November

Monday

Tuesday

Wednesday

Thursday

Friday

2: Lecture 29

Location: Computer Lab (2022ECEB)

Topic:Multi-TL Impulse Response and Wave Propagation

Assignment, Due 11/4, 2p.m.

Complete Exercise 29.

3

HW 11:

Problems:

1, 4, 5, 6

4: Lecture 30

Location: Classroom Lecture (2017ECEB)

Topics

  • Bounce Diagram Examples
  • Steady-state transmission line signals
  • Multi-Line Circuits
  • Shunt and Series Resistors

Assignment, Due 11/6, 2p.m.

Exercise 30

 

 

5

6: Lecture 31

Location: Classroom Lecture (2017ECEB)

Topics

  • Monochromatic Waves on TLs
  • Periodic Oscillations in TLs
  • Open and Shorted Load TLs
  • Resonant TLs in Circuits

Assignment, Due 11/9, 2p.m.

Exercise 31

9: Lecture 32

Location: Computer Lab (2022ECEB)

Topic:Monochromatic Waves on TLs, TLs as lumped circuit elements

Assignment, Due 11/11, 2p.m.

Complete Exercise 32.

10

HW 12:

Problems:

2,4

11: Lecture 33

Location: Classroom Lecture (2017ECEB)

Topics

  • Shorted TLs in Circuits
  • Arbitrary Loads on TLs
  • Half- and Quarter-Wave Transformers

Assignment, Due 11/13, 2p.m.

Exercise 33

 

 

12

13: Lecture 34

Location: Classroom Lecture (2017ECEB)

Topics

  • Load Reflection Coefficient
  • Generalized Reflection Coefficient
  • Line Impedance

  • Intro to Smith Charts

Assignment, Due 11/16, 2p.m.

Exercise 34

16: Lecture 35

Location: Computer Lab (2022ECEB)

Topic:Solving Smith Chart Problems with Mathematica

Assignment, Due 11/18, 2p.m.

Complete Exercise 35.

17

HW 13:

Problems:

2,3,4

18: Lecture 36

Location: Classroom Lecture (2017ECEB)

Topics

  • VSWR
  • Using VSWR

Assignment, Due 11/30, 2p.m.

Exercise 36

 

 

19

20:

23

Thanksgiving Break

24

25

Thanksgiving Break

26

27

Thanksgiving Break

30: Lecture 37

Location: Computer Lab (2022ECEB)

Topics

  • Impedance Matching
  • Quarter-wave transformer at load
  • Quarter-Wave Transformer spaced from Load
  • Stub Tuning

Assignment, Due 12/2, 2p.m.

Exercise 37

HW 14:

Problems:

1,2,5,6

 

   

December

Monday

Tuesday

Wednesday

Thursday

Friday

  1

2: Lecture 38

Location: Classroom Lecture (2017ECEB)

Topics

  • Double Stub Tuning
  • Distribution Networks

Assignment, Due 11/30, 2p.m.

Exercise 38

3

4: Lecture 39

Location: Classroom Lecture (2017ECEB)

Topics

  • Lossy TLs

Assignment, Due 11/30, 2p.m.

Exercise 39

6: Lecture 40

Location: Classroom LEcture (2017 ECEB)

Topics

Smith Chart Example problems

Bring compass and Smith Charts to class!

7

8: Lecture 41

Location: Classroom LEcture (2017 ECEB)

Topics

Review of post-Exam 3 material