**Master Course Description**

**No:** EE 361

**Title:** APPLIED ELECTROMAGNETICS

**Credits:** 5

**Coordinators:** Evan Goldstein,
Affiliate Professor of Electrical Engineering

John Sahr, Professor of Electrical Engineering

**Goals:** To develop a fundamental
understanding of electromagnetic forces and fields and of the manner in which
they propagate through materials, devices, and systems. Emphasis is placed
applications, focusing on the manner in which electromagnetic forces propel charge
through the devices and systems that reside at the heart of the broad
discipline of electrical engineering.

**Learning Objectives:**

At the end of this course, students will be able to:

*Compute*wavelength, frequency, wavenumber, phase velocity, and characteristic impedance for waves in free space and two-conductor waveguides.*Analyze*reflections and impedance transformations in transmission line circuits under steady-state excitation.*Design*impedance matching circuits using quarter wave transformers and shunt admittances.*Analyze*simple circuit transients using bounce diagrams.*Analyze*more complex transmission line transient problems using SPICE*Identify*the polarization properties of an electromagnetic plane wave.*Compute*the propagation constants, power density, penetrations depth, and reflection coefficients for plane waves incident on planar boundaries.

**Textbook:** Fawwaz T. Ulaby
et al., *Fundamentals of Applied Electromagnetics*, Prentice Hall, 6th
edition, 2010.

**Reference Texts:** J. W. Nilsson
and S. A. Riedel, *Introduction to PSPICE.*

**Prerequisites by Topic:**

- Fundamental physics (PHYS 123), including concepts of power, energy, force, electric current, electric fields and waves.
- Fundamental mathematics (MATH 126), trigonometric and (complex) exponential functions, introductory differential and integral calculus, first and second order linear differential equations.
- Vector Calculus (MATH 324) (May be taken concurrently with EE 361).
- Fundamental electrical engineering circuit analysis (EE 215, EE233).

**Topics:**

- Notation, units, dimensions, the meanings of the fields, the intuitive concept of permittivity and the polarization of charge [0.5 week]
- Review of phasors, fundamental properties of traveling waves [0.25 week]
- Transmission lines with sinusoidal excitation [2.5 weeks]
- Transmission lines with transient excitation [1.0 week]
- Intuitive vector calculus, review of vector differential operators (div, grad, curl) and vector integration. Intuitive view of the fundamental theorems of vector calculus. [1.25 weeks]
- What Maxwell's equations say about how the fields look [0.25 weeks]
- Electrostatics, electrostatic potential [1.0 week]
- Maxwell's equations and the foundations of circuit theory [0.5 weeks]
- Maxwell's Equations: plane wave-solutions in free space [1.5 week]
- Plane waves in lossy media [0.5 weeks]
- Reflections of plane waves from planar interfaces with dielectrics and conductors [1.0 week]

**Course Structure:** The class meets
for four 50-minute lectures per week. In addition, four laboratory exercises
are conducted over the course of the quarter during an additional 3-hour
meeting time each week. Homework is assigned weekly. Either one or two midterm
exams are given, at the instructor's discretion, together with a comprehensive
final exam.

**Computer Resources:** Computers
capable of running PSPICE are required.

**Laboratory Resources:** Laboratories
require computers capable of PSPICE.

**Grading:** Suggested
weights are: homework (20%), exam-1 (20%), exam-2 (20%), final exam (30%),
laboratory (10%). These may be modified at the instructor's discretion.

**Outcome Coverage:**

(a) *An ability to apply knowledge of
mathematics, science, and engineering.* The homework and exams require
direct application of mathematics, scientific, and engineering knowledge to
successfully complete the course. This requires performing various
transmission-line and electromagnetic-field analyses in a formal manner,
chiefly using vector calculus and differential equations, while supplying
numerous supporting calculations and intuitive interpretations of results. (H)

(b) *An ability to design and conduct
experiments, as well as to analyze and interpret data.* The behavior of
waves and fields propagating through guided and unguided media is explored
through a sequence of numerical experiments in the course's laboratory segment.
To complete these numerical investigations requires the design and construction
of numerous experiments, whose resulting data are compared with theoretical
calculations and subjected to interpretation. (L)

(e) *An ability to identify,
formulate, and solve engineering problems.* The course is primarily oriented
toward basic analysis in electromagnetics but includes examples of applications
in data communications, radio communications, and areas such as remote sensing.
Students must be able to identify the relevant underlying electromagnetics
problem in order to effect a solution or an understanding of the system. (M)

(f) *An understanding of professional and ethical
responsibilities.* This is a standard part of the lectures (L)

(g) *An ability to communicate effectively.*
Lab assignments require write-ups.(L)

(h) *The broad education necessary to
understand the impact of engineering solutions in a global, economic,
environmental, and societal context.* Transmission lines and propagating
electromagnetic waves have now closed what is virtually a monopoly on
high-capacity, long-distance communication among humans. Students taking the
course will thus readily recognize the broad applicability of transmission
lines and electromagnetic waves in applications to problems of sweeping global,
economic, and societal impact. (L)

(k) *An ability to use the techniques,
skills, and modern engineering tools necessary for engineering practice.*
The behavior of voltage and current waves propagating in systems exhibiting
distributed inductance and capacitance is examined at length in part through
use of an industry-standard circuit-simulator (PSPICE). (H)

** **

**Prepared By:** Evan Goldstein

**Last revised:** December 5,
2012