2023 Guided Wave Circuit Theory

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Academic unit or major
Graduate major in Electrical and Electronic Engineering
Nishikata Atsuhiro  Aoyagi Takahiro 
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Course description and aims

This course describes controlling electromagnetic field. The course together with related graduate major courses provide subjects necessary for understanding applications of electromagnetic waves. Electromagnetic waves (microwaves, millimeter waves, light waves) are used for applications such as communications and sensing. These applications require controlling the propagation of electromagnetic waves depending on the purpose. It is effective to use waveguides in efficiently controlling the propagation of electromagnetic waves.
This course focuses on guided wave circuits that control the transmission of microwave, millimeter wave and lightwave. Major subjects of the course include the electromagnetic waves propagated in waveguides used for microwave and millimeter-wave integrated circuits and photonic integrated circuits. Also, the fundamental theories of controlling electromagnetic wave propagation, such as the coupled mode equation and the eigen-mode and eigen-excitation, are explained. Some fundamental guided wave circuits, such as branching and coupling circuits, multi-/demultiplexing circuits for frequency discrimination and nonreciprocal circuits, are explained in terms of their operation principles and analyses.

Student learning outcomes

By the end of this course, students should be able to:
1) Understand the distribution of electromagnetic field propagated in waveguides and explain the propagation characteristics of electromagnetic waves in waveguides.
2) Explain the concept, such as impedance, phase and mode coupling, necessary for controlling the propagation of electromagnetic waves in waveguides.
3) Explain the operation principles of representative guided wave circuits that are used for controlling the propagation of electromagnetic waves.
4) Explain the method of analyzing guided wave circuits for controlling electromagnetic waves.


microwave, millimeter-wave, lightwave, coaxial line, microstrip line, metallic waveguide, dielectric waveguide, guided mode, impedance, standing wave, scattering matrix, eigen excitation, eigen value, nonlinear effect in optical fiber, mode coupling, coupling device, branching device, directional coupler, multi-/demultiplexer, nonreciprocal device

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Students must prepare for class by reading course materials uploaded in T2Schola and exercise problems.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Introduction - radio frequency bands, applications, necessity of distributed element circuit Transmission lines - balanced, unbalanced, two conductor, TEM, waveguide, optical fiber Electromagnetic analysis - TEM mode, wave impedance, characteristic impedance, wavenumber, distributed elements, equivalent circuit of transmission line, telegrapher's equation Examples of transmission lines with calculations Derivation and explanation of wavenumber, characteristic impedance of TEM mode that is supported by two-conductor transmission line. Explanation of the relationship between distributed-element equivalent circuit and telegrapher's equation.
Class 2 Waveguide - for microwaves, low loss, high power, supports TE and TM modes Waveguide mode analysis - Hertzian potentials, cut-off frequency, field distribution, rectangular waveguide, circular waveguide, phase velocity, group velocity, guided wavelength Optical fiber - step index fiber, multimode fiber, singlemode fiber, BL product, numerical aperture, normalized frequency, single mode condition Explanation of difference between TE and TM modes, as well as the difference from TEM mode. Explanation of single-mode condition of the optical fiber.
Class 3 Coupled Transmission Lines - coupling mechanism and formulation Solving Coupled Lines' Telegrapher's Equation - modes on coupled lines, coupling of two identical MSLs, signal transfer between MSLs Periodically Modulated Transmission Line - transmission characteristics and example S-matrix and T-matrix - Z -> S conversion, S <-> T conversion Explanation of the condition under which coupling between transmission lines occur. Explanation about the characteristics and application of transmission line that have periodic structure.
Class 4 Electromagnetic waves propagating in slab waveguides - TE and TM modes, electromagnetic fields in waveguides, and cut-off, mode coupling Understand the electric and magnetic fields as well as the propagation constant of guided modes propagating in metallic rectangular and circular waveguides.
Class 5 Dielectric waveguide - directional couplers, nonlinear Kerr effects, Mach-Zehnder modulator, Ring resonator Understanding the principle of directional couplers by an example of slab wave guide. Understanding non-linear effect: Kerr effect. Study about a Mach-Zehnder modulator and a Ring resonator as examples.
Class 6 Numerical calculations for wave guided circuits - Several methods to analyze wave guided circuits: FDTD, BPM, BEM and FEM Understand the several numerical calculation methods for wave guided circuits, e.g. FDTD method, beam propagation method, finite element method and boundary element method.
Class 7 Final examination Examination on the understand of the contents in 1st to 6th lecture.

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.


You can download course materials at T2Schola as a substitution of text book.

Reference books, course materials, etc.

Dietrich Marcuse. Theory of dielectric optical waveguides. Academic Press; ISBN-13: 978-0123941855.
Robert .E. Collin. Field theory of guided waves. United States. John Wiley & Sons; ISBN-13: 9780879422370.
Joseph Helszajn. Passive and active microwave circuits. John Wiley & Sons; ISBN-13: 978-0471042921.
F.R.Connor, Waves, Second Edition, Edward Arnold Ltd., ISBN-13: 9780713135671
Jun-ichi Sakai, Guided Wave Optics (導波光学), Chapter 15, Kyoritsu shuppan, 2004 (in Japanese): ISBN4-320-08616-3.

Assessment criteria and methods

The instructor will evaluate your understanding of electromagnetic wave propagation in waveguides and fundamentals of guided wave circuits for controlling electromagnetic wave propagation by the final examination.

Related courses

  • EEE.D461 : Optoelectronics
  • EEE.S461 : Optical Communication Systems
  • EEE.S401 : Advanced Electromagnetic Waves
  • EEE.S451 : Wireless Communication Engineering

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

Students are requested to have passed Electricity and Magnetism I (EEE.E201.R), and Electricity and Magnetism II (EEE.E202.R), or equivalent courses.

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

nishikata[at]ee.e.titech.ac.jp, 03-5734-3231
aoyagi[at]ee.e.titech.ac.jp, 03-5734-2992

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