2017 Electromagnetic Fields and Waves

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Hirokawa Jiro  Nishikata Atsuhiro 
Class Format
Media-enhanced courses
Day/Period(Room No.)
Tue3-4(S221)  Fri5-6(S221)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
Access Index

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

Class flow

Towards the end of class, students are given exercise problems related to the lecture given that day to solve. Also, students should submit a report summarizing the lecture after each class.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Maxwell’s equations (Chapter 2) and boundary conditions (Chapter 4) Explain Maxwell’s equations and and boundary conditions
Class 2 Wave equations (Section 3.1-3.4) Derive wave equations
Class 3 Plane wave (Section 3.5, 5.1-5.4) Explain the features of the plane wave
Class 4 Perpendicular incidence to a boundary plane (Section 5.5.4) Explain the operation of perpendicular incidence to a boundary plane
Class 5 Oblique incidence to a boundary plane for TE wave (Section 5.5.2-5.5.3) Explain the operation of oblique incidence to a boundary plane for TE wave
Class 6 Oblique incidence to a boundary plane for TM wave (Section 5.5.4) Explain the operation of oblique incidence to a boundary plane for TM wave
Class 7 Test level of understanding with exercise problems and summary of the first part of the course - Solve exercise problems covering the contents of classes 1–6. Test level of understanding and self-evaluate achievement for classes 1–6.
Class 8 Radiation of electromagnetic wave from a source - infinitesimal dipole, infinitesimal loop current, antenna's far field Explain the relation between point source field and antenna far-field.
Class 9 Poynting vector and uniqueness theorem - energy flow, uniqueness of boundary-value problem Explain the meaning of Poynting vector and the significance of uniqueness theorem.
Class 10 Distributed-element circuit and telegrapher's equation - TEM wave, transmission line, telegrapher's equation Explain the electromagnetic field around the transmissin line (Lecher wire and coaxial line).
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 - time-domain solution for lossy case, distortion-free condition, sinusoidal signal input, characteristic impedance, voltage reflection coefficient Explain the characteristics of travelling wave on a distributed-element circuit with sinusoidal input.
Class 13 Impedance matching (1) - standing wave and SWR, impedance mismatch and reflection, impedance matching by LC-circuit, Z-plane and Gamma-plane, Smith chart Explain the relationship between reflection coefficient and SWR. Derive the LC-circuit for impedance matching.
Class 14 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 15 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.


Yoji Kotsuka and Kimitoshi Murano, "Basic electromagnetic-wave engineering" (ISBN: 978-4-86481-006-7).

Reference books, course materials, etc.

Support documents are distributed.

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.
Midterm and final exams 80%, reports and exercise problems 20%.

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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