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Graduate major in Electrical and Electronic Engineering
Instructor(s)
Hirokawa Jiro
Course component(s)
Lecture
Day/Period(Room No.)
Tue5-6(S223)  Fri5-6(S223)
Group
-
Course number
EEE.S401
Credits
2
2019
Offered quarter
1Q
Syllabus updated
2019/4/5
Lecture notes updated
2019/5/24
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, antenna

### Competencies that will be developed

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
- - -

### Class flow

Students should submit a report summarizing the contents of the lecture after each class..

### Course schedule/Required learning

Course schedule Required learning
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 Integral expression of electromagnetic wave - Direct integral of Maxwell's equation Explain the meaning of the integral expression of electromagnetic field
Class 5 Field equivalent theorem - Proof by field uniqueness theorem Explain the meaning of field equivalence theorem
Class 6 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 7 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 8 Test level of understanding with exercise problems and summary of the first part of the course - Solve exercise problems covering the contents of classes 1–7. Test level of understanding and self-evaluate achievement for classes 1–7.
Class 9 Homogeneous solution in rectangular coordinate system Deeriv Derive homogeneous solution in rectangular coordinate system
Class 10 Summation form for electromagnetic field in shorted parallel plates Derive summation form for electromagnetic field in shorted parallel plates
Class 11 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 12 Homogeneous solution in cylindrical coordinate system - Behavior of Bessel functions Compare with the solution in rectangular coordinate system
Class 13 Analysis of radiaiton by line current in cylindrical coordinate system - Expression using homogeneous solutions for field discontinuity on the boundary Derive radiation by line current
Class 14 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 15 Diffraction phenomena of electromagnetic field - Diffraction phenomena of electromagnetic field by a half plane Explain diffraction phenomena of electromagnetic field by a half plane

### 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

### Assessment criteria and methods

Students' knowledge of analysis methods for wave equations, and their ability to apply them to problems will be assessed.
Exam 80%, reports 20%.

### Related courses

• EEE.S411 ： Guided Wave Circuit Theory
• EEE.G411 ： Electrical Modeling and Simulation
• EEE.C451 ： RF Measurement Engineering

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

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. 