2019 Waveguide Engineering and the Radio Law

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Hirokawa Jiro 
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Media-enhanced courses
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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

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 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 1-3-port elements (Section 3.1-3.3) 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 Resonators (Sectgion 4.1-4.4) Explain the operations of resonators.
Class 7 Nonreciprocal elements (Section 5.3) Explain the operations of non-reciprocal elements.
Class 8 The Radio Law and related act Explain the concept of the radio law.


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. Final exam 80%, Exercise Problems 20%.

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

Office hours

e-mail for appointment.

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