2018 Waveguide Engineering and the Radio Law

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Hirokawa Jiro 
Class Format
Media-enhanced courses
Day/Period(Room No.)
Intensive (S224)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
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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.


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

A quiz will be given in the last part of every class on the main points of that day's class.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Fundamentals of electromagnetic analysis - complex representation of time varying electromagnetic field, Maxwell's equation Understand the relation between complex and instantaneous representations of time varying electromagnetic field and Maxwell's equation.
Class 2 Transmission line equation - voltage and current distribution along a transmission line, input impedance and standing wave Derive the distribution of voltage and current along a transmission line. Understand the relation between the impedance measured along the transmission line and the position measuring the impedance.
Class 3 Coaxial line and metallic waveguide - TEM mode, TE mode and TM mode, electromagnetic field in a waveguide, and cut-off Derive the electromagnetic fields in a coaxial line and metallic waveguide.
Class 4 Dielectric waveguide - slab waveguide, guided mode and single mode condition Understand the boundary condition imposed on the electromagnetic field propagating in a dielectric slab waveguide and derive the equation that determines the propagation constant.
Class 5 Matching circuit and circuit representation by a scattering matirx  - quarter wavelength matching, stub, and the definition of scattering matrix Understand the matching circuit and the definition of scattering matrix.
Class 6 Branching and coupling circuits - magic-T and directional coupler Represent the characteristics of branching and coupling circuit using a scattering matrix.
Class 7 Frequency discriminating circuits - resonator and multi-/demultiplexer Understand the condition that determines the frequency characteristics of frequency selective circuits.
Class 8 Nonreciprocal circuit, the Radio Law and related act - isolator, circulator and the point of the Radio Law Explain the difference between nonreciprocal and reciprocal circuits.


Naito, Yoshiyuki. Microwave and Millimeter Wave Engineering. Tokyo: Corona; ISBN-978-4-339-00037-5. (Japanese)

Reference books, course materials, etc.

You can download course materials at OCW/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 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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