ECE 675 - Radiation and Propagation of Electromagnetic Fields
Instructor:
Omar
M.
Ramahi
Office
Hours:
12:00-1:00
on
Wednesdays,
EIT
4154
Lecture
time
and
location:
Thursdays
8:30am-11:20am,
EIT
3151
Course Description
This course is intended to lay the foundation for advanced studies in all fields of electromagnetics. The course starts with a generalized treatment of transmission lines using Green’ function theory. The wave phenomenon is then presented with focus on primary characteristics of the wave including dispersion. Current sheets are presented as a mathematical tool to generate arbitrary waveforms including specific modes in waveguiding structures. The scattering phenomenon is then introduced through scattering from multi-layered simple and complex (anisotropic) media. Throughout this course, emphasis will be placed on the admissibility of solutions to the wave equation in the presence of boundaries and media with relevance to surface waves and plasmonics. The course concludes with key electromagnetic theorems and wave transformation techniques.
Course Objectives
At the end of the course you should be able to:
- Understand the concept of Green’s function, especially as it relates to time-harmonic electromagnetic fields
- Formulate the problem of scattering and refraction from multi-layer media
- Understand the dispersion relationship arising from Maxwell equations
- Be able to formulate the radiation/scattering problems in terms of spatial harmonics
- Understand the fundamental concepts behind radiating systems such as antennas and apertures
- Understand the concept of surface waves
- Understand and formulate problems of wave propagation in isotropic and anisotropic media and the concept of backward waves and negative and positive media
- Understand the concept of waveguiding structures
- Understand the basic construction of the electromagnetic radiation/scattering problem in non-Cartesian coordinates such as cylindrical and spherical coordinates, and understand the concept of cylindrical and spherical harmonics
- Understand basic electromagnetic theorems
Required text
Lecture notes
Topics to be covered in lectures
Week
1:
Introduction
and
review
of
Maxwell
equations
Week
2:
Material
properties,
power
concepts
and
wave-matter
interaction
Week
3:
Dispersion
relationship
and
spatial
harmonics
Week
4:
Radiation
from
infinite
and
finite
sources
Week
5:
Scattering
and
refraction
from
multi-layer
structures
Week
6:
Transverse
Resonance,
surface
waves
and
plasmonics
Week
7:
Radiating
systems
and
antennas
Week
8:
Propagation
through
isotropic
and
anisotropic
media
Week
9:
Waveguides
in
Cartesian
coordinates
Week
10:
Eigenvalue
problems
in
electromagnetics
Week
11:
Cylindrical
harmonics
Week
12:
Electromagnetic
theorems
Week
13:
Advanced
Topics
Evaluation
The course grade will be based on 8-10 homework assignments, and a final examination. The breakdown is as follows:
Assignments
50%
Final
Examination
50%