This course focuses on plane-wave and its reflection and refraction, analyses of telegrapher's equation in distributed-element circuit. Topics include Maxwell's equation, plane-wave incidence to material, electromagnetic-wave radiation from source and current and voltage variation on distributed-element circuit. By combining lectures and exercises, the course enables students to understand and acquire the fundamentals of electromagnetic-wave radiation and propagation in space and in distribute-element circuit.
This course follows electricity and magnetism and explains the fundamentals on electromagnetic wave and wave-propagation mechanism for engineering applications. It is followed by other courses on signal system, waveguide engineering and the law and opto-electronics.
By the end of this course, students will be able to:
1) Explain the meanings of Maxwell's equation and derive wave equations
2) Explain the meaning of plane wave and difference between travelling and standing waves.
3) Explain the operation in incidence of a plane wave to various material.
4) Explain how to determine the electromagnetic radiation and power flow from the source
5) Explain the relationship between the electromagnetic wave propagating along transmission lines and the current, voltage and power
Maxwell's equation, plane wave, reflection and refraction, antenna, distributed-element circuit, telegrapher's equation
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
✔ ・Fundamental specialist skills on EEE |
After class, students are given exercise problems related to the lecture given that day to solve. The lecture will be given face-to-face, but may be given online depending on the status of COVID.
Course schedule | Required learning | |
---|---|---|
Class 1 | Electromagnetism (Chapter 1) | Review electromagnetism |
Class 2 | Wave equations (Section 2.1-2.3) | Derive wave equations |
Class 3 | Standing wave and perpendicular incidence to a boundary plane (Section 2.4-2.5.1) | Explain the features of the standing wave and the operation of perpendicular incidence to a boundary plane |
Class 4 | Oblique incidence to a boundary plane for TE wave (Section 2.5.2) | Explain the operation of oblique incidence to a boundary plane for TE wave |
Class 5 | Oblique incidence to a boundary plane for TM wave (Section 2.5.3) | Explain the operation of oblique incidence to a boundary plane for TM wave |
Class 6 | Incidence to a conductor boundary plane (Section 2.6) | Explain the operation of incidence to a conductor boundary plane |
Class 7 | Radiation of electromagnetic wave from a source (Section 3.1) | Explain the operation of radiation of electromagnetic wave from a source |
Class 8 | Radiation of electromagnetic wave from an infinitesimal dipole (Section 3.2-3.3) | Explain the operation of radiation of electromagnetic wave from an infinitesimal dipole |
Class 9 | Distributed-element circuit and telegrapher's equation - TEM wave, transmission line, telegrapher's equation | Explain the electromagnetic field around the transmission line (Lecher wire and coaxial line). |
Class 10 | Exam(1)(to evaluate understanding level) | Evaluate the understanding level in class 1-8. |
Class 11 | Solution of telegrapher's equation via Laplace transform - time-domain solution for lossless case, forward wave, backward wave | Derive time-domain solution to the telegrapher's equation. |
Class 12 | Distributed-element circuit with loss and reflection, Impedance matching (1) - time-domain solution for lossy case, distortion-free condition, sinusoidal signal input, characteristic impedance, voltage reflection coefficient - standing wave and SWR, impedance mismatch and reflection, impedance matching by LC-circuit, Z-plane and Gamma-plane, Smith chart | Explain the characteristics of travelling wave on a distributed-element circuit with sinusoidal input. Explain the relationship between reflection coefficient and SWR. Derive the LC-circuit for impedance matching. |
Class 13 | Impedance matching (2) - finite-length distributed-element circuit, reference plane change, impedance transformation, quarter-lambda transformer, stubs, power wave - reflection coefficient, multiple reflections, impedance matching | Explain the signal transmission between signal source and load connected via a finite-length distributed-element circuit. |
Class 14 | Scattering matrix - circuit matrices, scattering matrix and the example, scattering matrix and loss | Explan the definition of scattering matrix, the relationship between scattering matrix and loss. |
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.
#1-#8 J.Hirokawa, Y.Kimura, and H.Arai, "Electromagnetic Wave Engineering" (Asakura Shoten) ISBN987-4-254-2214-2
#9-#14 Not specified
Support documents are distributed through T2schola.
Students' knowledge of plane wave and its reflection and refraction, electromagnetic-wave radiation from source and distributed-element circuit, and their ability to apply them to problems will be assessed.
Exams (to evaluate understanding level) about 70% and homework about 30%.
Students must have successfully completed Electricity and Magnetism I and II (EEE.E201 and EEE.E202) and Electric Circuit I (EEE.C201) or have equivalent knowledge.