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Graduate major in Electrical and Electronic Engineering
Instructor(s)
Hirokawa Jiro  Tomura Takashi
Course component(s)
Lecture    (ZOOM)
Day/Period(Room No.)
Tue5-6()  Fri5-6()
Group
-
Course number
EEE.S401
Credits
2
2021
Offered quarter
1Q
Syllabus updated
2021/3/24
Lecture notes updated
-
Language used
English
Access Index

### Course description and aims

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.

### Student learning outcomes

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 that will be developed

 ✔ 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. Homework, etc. will be distributed and submitted at T2SCHOLA.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Derivation of the Helmholtz equation (Sec.1.1.1) Derive using vector potential
Class 2 Solutions to Helmholtz equation (Sec.1.1.2) Explain the meaning of the solution to wave equation
Class 3 Duality of electric and magnetic fields in Maxwell's equations (Sec.1.2) Explain the structure of solution to wave equation
Class 4 Uniqueness theorem (Sec.2.1) Explain the meaning of uniqueness theorem
Class 5 Application of the equivalence theorem (Sec.2.2) Explain the meaning of field equivalence theorem
Class 6 Understanding the equivalence theorem (Sec.2.3) Explain the application of field equivalence theorem to plane wave propagation
Class 7 Report (exam 1), Solutions and features for boundary value problems (Chap.3) Explain how to solve boundary value problems
Class 8 Expressions of complementary solutions in rectangular coordinates (Sec.4.1) Derive homogeneous solution in rectangular coordinate system
Class 9 Scattering problem due to a current in a one-end terminated parallel plate conductor (Sec.4.2.1) Derive summation form for electromagnetic field in shorted parallel plates
Class 10 Proof of agreement between the summation and integral expressions (Sec.4.2.2-3) Derive intergral form for electromagnetic field in shorted parallel plates and equivalence to summation form
Class 11 Expressions of complementary solutions in cylindrical coordinates (Sec.5.1) Compare with the solution in rectangular coordinate system
Class 12 Scattering problem due to an electric current near a cylindrical conductor (Sec.5.2) Derive radiation by line current
Class 13 Scattering problem due to an electric current near a wedge conductor (Sec.5.3.1) Derive scattering electromagnetic field by a half plane
Class 14 Scattering problem of a plane wave incident to a semi-infinite plate conductor (Sec.5.3.2), Report (exam 2) Explain diffraction phenomena of electromagnetic field by a half plane. Given problems, solve them and submit during the class

### Out-of-Class Study Time (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)

J. Hirokawa and M. Ando, "Electromagnetic wave analysis" (In English)
Paperback, Design Egg Inc. (ISDN 978-4815022310)
https://www.amazon.co.jp/dp/4815022313?language=en_US
Amazon Kindle e-book (In English)
https://www.amazon.co.jp/dp/B08HL7GDRP?languaage=en_US
The paperback version and the e-book version have the same content.

### Reference books, course materials, etc.

J. Hirokawa and M. Ando, "Waveguide slot antenna analysis using eigenfunction expansion method" (in Japanese)
Paperback, Design Egg Inc. (ISDN 978-4815022303)
https://www.amazon.co.jp/dp/4815022305?language=ja_JP
Amazon Kindle e-book (in Japanese)
https://www.amazon.co.jp/dp/B08HL57X25?language=ja_JP
The paperback version and the e-book version have the same content.
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
C.A.Balanis, ”Advanced Engineering Electromagnetics," Wiley, ISBN 978-0-470-58948-9

### Assessment criteria and methods

Students' knowledge of analysis methods for wave equations, and their ability to apply them to problems will be assessed.