CMPE 330:
Electromagnetic
Waves and Transmission
Catalog description:
An introduction to waves, transmission lines, and electromagnetics
is made with the focus on computer engineering and communications applications. The
physical limits on Kirchhoff’s
Laws are discussed. Phasor
and vector
analysis is
reviewed. Transmission lines are studied in the time domain and the frequency domain.
Elect
rostatics, magnetostatics, and the calculation of the capacitance and inductance in
transmission lines are then
studied. Time

varying fields, and the integral, differential,
and phasor forms of Maxwell’s equations are introduced. Plane waves are studied.
Semesters offered:
Spring
Course prerequisites:
ENEE 206,
MATH 2
25
, MATH 251
Level:
Undergraduate
Credit
s:
3
Class times:
Two 75 minute lectures
Text
:
Fundamentals of Applied Electromagnetic Fields and Energy
by Fawwaz T. Ulaby
Course
Goals
and Performance Measures
:
(1)
Goal:
Students understand the uses of electromagnetics in modern computer
engin
eering and in their own careers; they can communicate that
understanding.
Performance Measure:
Two

page brief describing an application of electro

magnetics of interest to him or her, why it is of interest, and its societal
impact.
Program
Outcomes Advanced:
ABET e,
g, h
, j
(2)
Goal:
Students have a basic understanding of the history of electromagnetics
and how it has evolved. They understand that it will continue to
evolve and hence they need to continue to study it.
Perfor
mance Measure:
Class discussion of classic experiments, followed by
a visit to the History of Electronics Museum. A four

page paper in
which students discuss the classic experiments and how they relate to
modern applications
Program
Outcomes Ad
vanced:
ABET g, i
(
3
)
Goal:
Students understand the physical limit
s on Kirchhoff’s laws and when
an electromagnetic analysis is necessary
Performance Measure:
Problem set
Program
Outcomes Advanced:
ABET
a, e,
f,
h, k; IEEE 3, 4
(
4
)
Goal:
S
tudents know the basics of complex analysis, phasor analysis, and
vector calculus
Performance Measure:
Problem set
s (2)
Program
Outcomes Advanced:
ABET a, h, k; IEEE 2, 3, 4
(
5
)
Goal:
Students know how to analyze transmission lines in the ti
me domain
and the frequency domain
Performance Measure:
Problem set
Program
Outcomes Advanced:
ABET a, e, k; IEEE 2, 4
(
6
)
Goal:
Students have a basic understanding of magnetostatics and electrosta

tics and can calculate the capacitance and
inductance of simple geome

tries.
Performance Measure:
Problem set
Program
Outcomes Advanced:
ABET a, e, k; IEEE
2,
3, 4
(
7
)
Goal:
Students have a basic knowledge of Maxwell’s equations and its
physical meaning in its integral, differential
, and phasor forms.
Performance Measure:
Problem set
Program
Outcomes Advanced:
ABET a, h, k; IEEE 2, 3, 4
(
8
)
Goal:
Students know the basic properties of electromagnetic plane waves
and their application
s.
Performance Measure:
Proble
m set
Program
Outcomes Advanced:
ABET a, e, k; IEEE 2, 3, 4
NOTE:
The course objectives that are addressed by the exams will change from
year to year.
So, they are not listed as a performance measure for particular goals.
Summary of
ABET and IEEE
outcomes addressed
and by which course goals
:
Course Goals
1
2
3
4
5
6
7
8
ABET outcomes
a
×
×
×
×
×
×
b
c
d
e
×
×
×
×
×
f
g
×
×
h
×
×
×
×
i
×
j
×
k
×
×
×
×
×
×
IEEE outco
mes
1
2
×
×
×
×
×
3
×
×
×
×
×
4
×
×
×
×
×
×
5
Topics and numbers of lectures:
I. Introduction (4 lectures)
1. Why study waves and electromagnetics?
—
Why circuit analysis is not enough (wireless transmissions, dela
ys)
—
Applications (Taflove): military, computer interconnects, communica

tions, photonics,
medicine
—
WRITING ASSIGNMENT: Applications of waves and electromagnets to
future careers (two page essay)
2. Course philosophy and background
—
The professor
—
Cou
rses it uses: ENEE 206, MATH 225
, MATH 251
—
Courses it complements: PHYS 122, CMPE 314, CMPE 323
—
Courses that require it: All communications track electives
—
ABET, IEEE Required outcomes
3. Textbooks:
—
F. T. Ulaby, FUNDAMENTALS OF APPLIED ELECTROMAGNE
TICS
[required]
o
Advantages: begins with transmission lines, useful software, simple
mathematics
o
NOTE: 2001 Media Edition preferred; CD is required
—
C. Paul, ELECTROMAGNETICS FOR ENGINEERS
o
Advantages: clearly stated chapter objectives, discussion
of
applications, simple mathematics
o
Used for transmission line SPICE examples, transmission line
examples, some problems
4. Waves and complex numbers
—
Basic wave parameters
o
Amplitude, wavelength, frequency, wavenumber, phase offset
—
Dispersion relations
: Relations between wavelength, loss, and frequency
—
Electromagnetic spectrum
—
Spectral analysis
—
Review of complex numbers
—
Phasors
5. ASSIGNMENT: Problem Set
II. Transmission Lines (6 lectures)
1. Basics
—
Lumped Model
—
Types of lines
—
Propagati
on equations
2. Time Domain
—
Current and voltage evolution
—
SPICE calculations
3. Frequency Domain (Phasors)
—
Current and voltage transmission
—
Voltage standing wave ratio
—
Power flow
4. Smith Chart
—
Parametric equations
—
Impedance matching
5. Lossy L
ines
6. Applications
7. ASSIGNMENT: Problem Set
8. MID

TERM 1
III. Vector Analysis (3 lectures)
1. Motivation
—
Charges + currents
Fields
Forces + measurable effects
—
Electric and magnetic fields are described by vectors
2. Laws of vector algebra
—
Addition, subtraction, dot product, cross product
—
Position vectors
3. Coordinate systems
—
rectangular, cylindrical, spherical
4. Line and surface integrals
5. ASSIGNMENT: Problem Set
IV.
Classic E&M Experiments (1 lecture)
1. Historical Pers
pectives
—
Electrostatics: Franklin, Coulomb, Galvani, Volta
—
Magnetostatics: Oersted, Ampere
—
Dynamics: Faraday, Henry, Lenz
—
Maxwell’s Equations: MAXWELL
—
Waves: Hertz, Marconi
2. Historical Electronics Museum Experiments
—
Oersted’
s Experiment
—
Faraday’s Experiment
—
A motor: (a) a moving wire, (b) a complete motor
—
A generator
3. WRITING ASSIGNMENT: Analyze the workings of HEM experiments (two
page essay)
V. Static Fields (6 lectures)
1. Electrostatics
—
Charge an
d Coulomb’s law
—
Electric field
—
Dielectric materials
—
Gauss’s law
2. Voltage and capacitance
—
Charge distributions
—
Capacitance calculations
3. Magnetostatics
—
Current and Biot

Savart law
—
Magnetic field
—
Magnetic materials
—
Ampere’s law
—
Gaus
s’s law
4. Applications
5. ASSIGNMENT: Problem Set
6. MID

TERM 2
VI. Time

Varying Fields (4 lectures)
1. Faraday’s Law
—
Physical expression
—
Differential form
2. Ampere’s Law
—
Physical Expression
—
Differential Form
3. Gauss’s Law: Differential Form
4
. MAXWELL’S EQUATIONS
—
Comparison of integral and differential forms
—
Power Density: Poynting Vector
—
Boundary conditions
—
Phasor form: sinusoidally varying fields
5. ASSIGNMENT: Problem Set
VII. Wave Propagation (4 lectures)
1. Uniform plane waves
—
L
ossless and lossy media
—
Power flow
—
Skin Depth
2. Reflection and transmission
—
Normal incidence
—
Snell’s laws
3. Applications
4. ASSIGNMENT: Problem Set
Specialization:
This course is required for the communications track and available a
s an
elective to other computer engineering majors
Additional course features:
Class demonstrations
Assessments:
Problem
sets, exams, two

page essays
Grading:
2 two

page essays
—
20%
8
problems sets
—
4
0%
2
mid

term exam
s
—
20%
1 final exam
—
2
0%
Actions taken to improve the course:
Changed lecture/essay topic from ethics to E&M
history, added more computational problems, added experimental demos (via the
Historical Electronics Museum), changed textbook
Relation to program objectives:
This
course directly addresses the first three objectives
and addresses items 1 and 4 of the fourth objective.
Syllabus prepared by:
C. Menyuk
Version Date
:
0
517
/0
6
Course Committee:
C. Menyuk (
chair
)
, L. Yan, and G. Carter
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