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.