2020 Waveguide Engineering and the Radio Law

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Hirokawa Jiro  Tomura Takashi 
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Course description and aims

Electromagnetic waves (microwaves, millimeter waves, light waves) are used for applications such as signal transmission and sensing. These applications require controlling the propagation of electromagnetic waves depending on the purpose. Controlling the mode of electromagnetic waves that propagate through waveguides can realize the branching and coupling capabilities of electromagnetic power, as well as capabilities of frequency discrimination.
The instructor in this course will explain how the field distribution and propagation velocity of electromagnetic waves are determined when propagating in representative waveguides such as a coaxial line, metallic waveguide and dielectric waveguide. The instructor will also explain the scattering matrix used for characterizing electromagnetic wave circuits, then explain the operating principle and basic design methods of typical electromagnetic wave circuits for branching and coupling capabilities, frequency discrimination capability, and nonreciprocal functions that realize direction-dependent transmission of electromagnetic waves. Furthermore, the instructor will explain the concepts of the Radio Law.

Student learning outcomes

By the end of this course, students should be able to:
1) Understand the characteristics of electromagnetic waves propagating in waveguides.
2) Represent the characteristics of electromagnetic wave circuits.
3) Explain and design the operation principles of representative electromagnetic wave circuits.

Corresponding educational goals are:
(1) Specialist skills Fundamental specialist skills
(4) Applied skills (inquisitive thinking and/or problem-finding skills) Organization and analysis
(7) Skills acquiring a wide range of expertise, and expanding it into more advanced and other specialized areas


microwave, millimeter-wave, lightwave, coaxial line, metallic waveguides, dielectric waveguide, voltage and current distributions along a transmission line, impedance, standing wave, cut-off, scattering matrix, impedance matching, resonator, multi-/demultiplexer, nonreciprocal device, the Radio Law

Competencies that will be developed

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

Class flow

Addition to each class, students should submit homework.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Planar-wave transmission lines (Section 2.1-2.2) Explain the operations of planar transmission lines.
Class 2 Waveguide transmission lines(Section 2.3) Explain the operations of waveguide transmission lines.
Class 3 Surface0wave transmission lines(Section 2.4) Explain the operations of surface-wave transmission lines.
Class 4 Report 1(to evaluate understanding level), 1-3-port elements (Section 3.1-3.3) Evaluate understanding level on Classes 1-3. Explain the operations of 1-3-port elements.
Class 5 4-port elements and mode-conversion elements (Section 3.4-3.5) Explain the operations of 4-port elements and mode-conversion elements.
Class 6 Nonreciprocal elements (Section 5.3) Explain the operations of non-reciprocal elements.
Class 7 Report 2(to evaluate understanding level), The Radio Law and related act Evaluate understanding level on Classes 4-6. Explain the concept of the radio law.

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.


K.Sakakibara, M.Taromaru and K.Fujimori, "Wave transmission engineering," (Asakura shoten) ISBN978-4-254-22216-6

Reference books, course materials, etc.

You can download course materials at OCW-i.

Assessment criteria and methods

The instructor will evaluate your understanding of how the electromagnetic field distribution and propagation constant of guided modes are determined in waveguides, concepts of impedance and standing wave, and operation and design principles of waveguide circuits. Reports (to evaluate understand level) about 70%, Homework about 30%.

Related courses

  • EEE.D361 : Photonic Devices
  • EEE.S361 : Opto-electronics
  • EEE.D461 : Optoelectronics
  • EEE.S411 : Guided Wave Circuit Theory

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

Students are requested to have passed Electricity and Magnetism I and II and Electromagnetic Fields and Waves.

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

jiro[at]ee.e.titech.ac.jp, 2567
tomura[at]ee.e.titech.ac.jp, 2563

Office hours

e-mail for appointment.

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