2020 Faculty Courses School of Engineering Department of Electrical and Electronic Engineering Graduate major in Electrical and Electronic Engineering
Advanced Electromagnetic Waves
- Academic unit or major
- Graduate major in Electrical and Electronic Engineering
- Instructor(s)
- Jiro Hirokawa / Takashi Tomura
- Class Format
- Lecture (Zoom)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 5-6 Tue (S223) / 5-6 Fri (S223)
- Class
- -
- Course Code
- EEE.S401
- Number of credits
- 200
- Course offered
- 2020
- Offered quarter
- 1Q
- Syllabus updated
- Jul 10, 2025
- Language
- English
Syllabus
Course overview and goals
This course focuses on direct solution to Maxwell's equation, diffraction and scattering of electromagnetic wave and antennas. Topics include the derivation and the interpretation of solution to wave equation, field equivalent theorem, scattering in cylindrical coordinate system and its interpretation, antenna parameters and operating principle of basic antennas. By combining lectures and reports, the course enables students to understand the analysis methods of electromagnetic wave and their interpretations and the operating mechanisms of various antennas.
The course follows electricity and magnetism, electromagnetic fields and waves and waveguide engineering and gives students deep interpretations on radiation and scattering of electromagnetic waves and antenna operations and is followed by advanced courses such as guided waveguide circuit theory, electrical modelling and simulations and RF measurement engineering.
Course description and aims
By the end of this course, students will be able to:
1) Derive wave equation from Maxwell's equation and understand the meaning of its solution.
2) Understand the meaning of field equivalent theorem.
3) Solve scattering problems in cylindrical coordinate system.
4) Understand the meaning of diffraction and scattering of electromagnetic wave.
5) Understand the meaning of the antenna parameters such as radiation pattern, directivity, gain, efficiency and polarization.
6) Understand the radiation principle of various antennas such as wire antenna, arran antenna, aperture antenna, microstrip antenna.
4) Understand the meaning of diffraction and scattering of electromagnetic wave.
5) Understand the meaning of the antenna parameters such as radiation pattern, directivity, gain, efficiency and polarization.
6) Understand the radiation principle of various antennas such as wire antenna, array antenna, aperture antenna, microstrip antenna.
Keywords
wave equation, field equivalence theorem, cylindrical coordinate system, diffraction and scattering
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Students should submit homework summarizing the contents of the lecture after each class.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Radiation from source - Derivation using vector potential | Derive using vector potential |
| Class 2 | Solution to wave equation - Derivation using Green's theorem | Explain the meaning of the solution to wave equation |
| Class 3 | Structure of solution to wave equation | Explain the structure of solution to wave equation |
| Class 4 | Field equivalent theorem - Proof by field uniqueness theorem | Explain the meaning of field equivalence theorem |
| Class 5 | Understanding of field equivalence theorem in plane wave propagation - Field by equivalent currents assumed on virtual boundary | Explain the application of field equivalence theorem to plane wave propagation |
| Class 6 | Application of field equivalent theorem in radiation from a dipole antenna | Explain the application of field equivalent theorem in radiation from a dipole antenna |
| Class 7 | Homogeneous solution in rectangular coordinate system | Derive homogeneous solution in rectangular coordinate system |
| Class 8 | Summation form for electromagnetic field in shorted parallel plates | Derive summation form for electromagnetic field in shorted parallel plates |
| Class 9 | Intergral form for electromagnetic field in shorted parallel plates - Equivalence to summation form | Derive intergral form for electromagnetic field in shorted parallel plates and equivalence to summation form |
| Class 10 | Homogeneous solution in cylindrical coordinate system - Behavior of Bessel functions | Compare with the solution in rectangular coordinate system |
| Class 11 | Analysis of radiation by a line current in the cylindrical coordinate system | Derive radiation by line current |
| Class 12 | Scattering of electromagnetic field by a half plane - Derivation of scattering electromagnetic field by a half plane | Derive scattering electromagnetic field by a half plane |
| Class 13 | Diffraction phenomena of electromagnetic field - Diffraction phenomena of electromagnetic field by a half plane | Explain diffraction phenomena of electromagnetic field by a half plane |
| Class 14 | Report (exam) | Given problems, solve them and submit during the class |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Text is delivered at OCW-i.
Reference books, course materials, etc.
J.A.Stratton, "Electromagnetic Theory," IEEE Press, ISBN: 978-0-470-13153-4
R.F.Harrington, "Time-Harmonic Electromagnetic Fields," McGraw Hill, ISBN 978-0-471-20806-8
Evaluation methods and criteria
Students' knowledge of analysis methods for wave equations, and their ability to apply them to problems will be assessed.
Report (exam) about 70%, homework about 30%.
Related courses
- EEE.S411 ： Guided Wave Circuit Theory
- EEE.G411 ： Electrical Modeling and Simulation
- EEE.C451 ： RF Measurement Engineering
Prerequisites
Students must have successfully completed Electricity and Magnetism I and II (EEE.E201 and EEE.E202), electromagnetic fields and waves (EEE.E211), waveguide engineering and the radio law (EEE.S301) or have equivalent knowledge.