This course describes controlling electromagnetic field. The course together with related graduate major courses provide subjects necessary for understanding applications of electromagnetic waves. Microwave, millimeter-wave and lightwave are used for signal transmission, sensing and medical applications. In these applications, electromagnetic waves are controlled properly to achieve respective functions. 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 designs.
By the end of this course, students should be able to:
1) Understand the electromagnetic field distribution 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 designing 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
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Students must prepare for class by reading course materials uploaded in OCW/OCW-i. Students are given exercise problems related to what is taught on that day to solve.
Course schedule | Required learning | |
---|---|---|
Class 1 | Fundamentals of electromagnetic field analysis - Maxwell's equation | Derive the wave equation from Maxwell's equation. |
Class 2 | Transmission line equation and free space propagation of electromagnetic waves - voltage and current distributions along a transmission line, input impedance and standing wave | Compute the electromagnetic field from the wave equation. Understand the correspondence of the quantities of transmission line to that of plane wave. |
Class 3 | Waveguides composed of conductors - coaxial line and micro-strip line | Understand the electric and magnetic fields as well as the propagation constant of guided modes propagating in coaxial line and micro-strip line. |
Class 4 | Electromagnetic waves propagating in metallic waveguides - TE and TM modes, electromagnetic fields in waveguides, and cut-off | 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 - slab waveguide, guided mode, single mode condition and rectangular dielectric waveguide | Understand the field distribution of modes guided in a dielectric slab waveguide. |
Class 6 | Wave propagation in an optical fiber - dispersion and nonlinear phenomena | Understand the origin and effect of dispersion and nonlinear phenomena. |
Class 7 | Coupled mode equation and co-directional mode coupling - coupled mode equation and coupling coefficient | Explain the co-directional mode coupling. |
Class 8 | Electromagnetic waves propagating in a periodic structure - coupling of forward and backward traveling waves, the Bragg reflection | Explain the Bragg reflection based on the coupling between forward and backward traveling waves. |
Class 9 | Circuit representation by a scattering matrix - definition of scattering matrix, relation between scattering and F-matrices | Explain the characteristics of circuit represented by a scattering matrix. |
Class 10 | Eigen value and eigen excitation －definitions of eigen value and eigen excitation, characteristics of eigen excitation | Compute the eigen value and eigen excitation for a given matrix representing circuit characteristics. |
Class 11 | Fundamentals of guided wave circuits, coupling and branching devices - designs of magic-T and directional coupler | Explain the operation principle of magic-T and the characteristics of directional coupler. |
Class 12 | Frequency discriminating circuits - resonator and multi-/demultiplexer | Explain the resonance condition of resonator and the operation principle of multi-/demultiplexer. |
Class 13 | Nonreciprocal circuits - isolator and circulator | Explain the operation principle of isolator and circulator. |
Class 14 | Microwave and millimeter-wave integrated circuit - design considerations of microwave and millimeter-wave integrated circuit | Understand the design considerations of microwave and millimeter-wave integrated circuit. |
Class 15 | Photonic integrated circuit - design considerations of photonic integrated circuit | Understand the design considerations of photonic integrated circuit. |
You can download course materials at OCW/OCW-i as a substitution of text book.
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.
I will evaluate your understanding of electromagnetic wave propagation in waveguides and fundamentals of guided wave circuits for controlling electromagnetic wave propagation. Exercise Problems 30% and exams 70%.
Students are requested to have passed Electricity and Magnetism I (EEE.E201.R), and Electricity and Magnetism II (EEE.E202.R), or equivalent courses.
mizumoto.t.aa[at]m.titech.ac.jp, 03-5734-2578