2021 Electromagnetic Fields and Waves

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Hirokawa Jiro  Nishikata Atsuhiro 
Course component(s)
Lecture    (対面)
Day/Period(Room No.)
Tue5-6(S222)  Fri5-6(S222)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

This course focuses on plane-wave and its reflection and refraction, analyses of telegrapher's equation in distributed-element circuit. Topics include Maxwell's equation, plane-wave incidence to material, electromagnetic-wave radiation from source and current and voltage variation on distributed-element circuit. By combining lectures and exercises, the course enables students to understand and acquire the fundamentals of electromagnetic-wave radiation and propagation in space and in distribute-element circuit.
This course follows electricity and magnetism and explains the fundamentals on electromagnetic wave and wave-propagation mechanism for engineering applications. It is followed by other courses on signal system, waveguide engineering and the law and opto-electronics.

Student learning outcomes

By the end of this course, students will be able to:
1) Explain the meanings of Maxwell's equation and derive wave equations
2) Explain the meaning of plane wave and difference between travelling and standing waves.
3) Explain the operation in incidence of a plane wave to various material.
4) Explain how to determine the electromagnetic radiation and power flow from the source
5) Explain the relationship between the electromagnetic wave propagating along transmission lines and the current, voltage and power


Maxwell's equation, plane wave, reflection and refraction, antenna, distributed-element circuit, telegrapher's equation

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills
・Fundamental specialist skills on EEE

Class flow

After class, students are given exercise problems related to the lecture given that day to solve. The lecture will be given face-to-face, but may be given online depending on the status of COVID.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Electromagnetism (Chapter 1) Review electromagnetism
Class 2 Wave equations (Section 2.1-2.3) Derive wave equations
Class 3 Standing wave and perpendicular incidence to a boundary plane (Section 2.4-2.5.1) Explain the features of the standing wave and the operation of perpendicular incidence to a boundary plane
Class 4 Oblique incidence to a boundary plane for TE wave (Section 2.5.2) Explain the operation of oblique incidence to a boundary plane for TE wave
Class 5 Oblique incidence to a boundary plane for TM wave (Section 2.5.3) Explain the operation of oblique incidence to a boundary plane for TM wave
Class 6 Incidence to a conductor boundary plane (Section 2.6) Explain the operation of incidence to a conductor boundary plane
Class 7 Radiation of electromagnetic wave from a source (Section 3.1) Explain the operation of radiation of electromagnetic wave from a source
Class 8 Radiation of electromagnetic wave from an infinitesimal dipole (Section 3.2-3.3) Explain the operation of radiation of electromagnetic wave from an infinitesimal dipole
Class 9 Distributed-element circuit and telegrapher's equation - TEM wave, transmission line, telegrapher's equation Explain the electromagnetic field around the transmission line (Lecher wire and coaxial line).
Class 10 Exam(1)(to evaluate understanding level) Evaluate the understanding level in class 1-8.
Class 11 Solution of telegrapher's equation via Laplace transform - time-domain solution for lossless case, forward wave, backward wave Derive time-domain solution to the telegrapher's equation.
Class 12 Distributed-element circuit with loss and reflection, Impedance matching (1) - time-domain solution for lossy case, distortion-free condition, sinusoidal signal input, characteristic impedance, voltage reflection coefficient - standing wave and SWR, impedance mismatch and reflection, impedance matching by LC-circuit, Z-plane and Gamma-plane, Smith chart Explain the characteristics of travelling wave on a distributed-element circuit with sinusoidal input. Explain the relationship between reflection coefficient and SWR. Derive the LC-circuit for impedance matching.
Class 13 Impedance matching (2) - finite-length distributed-element circuit, reference plane change, impedance transformation, quarter-lambda transformer, stubs, power wave - reflection coefficient, multiple reflections, impedance matching Explain the signal transmission between signal source and load connected via a finite-length distributed-element circuit.
Class 14 Scattering matrix - circuit matrices, scattering matrix and the example, scattering matrix and loss Explan the definition of scattering matrix, the relationship between scattering matrix and loss.

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.


#1-#8 J.Hirokawa, Y.Kimura, and H.Arai, "Electromagnetic Wave Engineering" (Asakura Shoten) ISBN987-4-254-2214-2
#9-#14 Not specified

Reference books, course materials, etc.

Support documents are distributed through T2schola.

Assessment criteria and methods

Students' knowledge of plane wave and its reflection and refraction, electromagnetic-wave radiation from source and distributed-element circuit, and their ability to apply them to problems will be assessed.
Exams (to evaluate understanding level) about 70% and homework about 30%.

Related courses

  • EEE.S351 : Signal System
  • EEE.S301 : Waveguide Engineering and the Radio Law
  • EEE.S361 : Opto-electronics Opto-electronics

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

Students must have successfully completed Electricity and Magnetism I and II (EEE.E201 and EEE.E202) and Electric Circuit I (EEE.C201) or have equivalent knowledge.

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