電磁界解析の基礎として,マクスウェルの方程式の一般的解法について講義する。内容の概略は以下のとおりである。講義は英語で行う。
1. 微小ダイポールからの放射
2. マクスウェルの方程式の導出と解釈
3. 電磁界の積分表示
4. 電磁界の等価定理
5. 境界条件,端点条件,放射条件
6. 波源のない斉次方程式の解
7. 変数分離によって解ける境界値問題
8. 半無限導体板の回折現象
9. 円筒導体による回折現象
Derivation and interpretation of Maxwell's equations, radiation from a dipole, direct integration of the field equations, field equivalence theorem, boundary, edge and radiation conditions, solutions for homogeneous equations, canonical problems sloved by separation of variables and diffraction from a half plane or a cylinder
The objective of this course is to provide the basic methodology in the boundary value problems of electromagnetic waves. Some canonical problems in electromagnetic wave scattering are solved. Important concept of ”field equivalence theorem” is explained. The following topics are included.
01. Radiation from a source.
02. Dipole, Uniqueness, Poynting Theorem, Far field.
03. Linear differential equations.
04. Derivation and interpretation of Maxwell’s equations.
05. Direct integration of the field equations.
06. Field equivalence theorem.
07. Boundary, edge and radiation conditions.
08. Solutions for homogeneous equations.
09. Canonical problems sloved by separation of variables.
10. Diffraction from a half plane.
11. Diffraction from a cylinder.
Lecture note and copies of pages in classical books by Stratton J. A.(1941), Harrington R.G.(1961) and by Segkiguchi T.(1976) are available during the course. Additional references are;
Yamashita E.ed. ”Analysis Methods for Electromagnetic Wave Problems” Artech House (1990).
Yamashita E.ed. ”Application of Electromagnetic Wave Analysis”, IEICE Japan (1993).
Students should have completed courses of ”Electricity and magnetism ” and ”Electromagnetic waves” in the undergraduate course or its equivalence. It is also preferable to have finished ” electromagnetic wave transmission and the radio law”.
Grade is based upon examination (about 80%) in the end of term and homework reports (about 20%) during the term.
【Office hours】
Students should contact with lecturers in advance by e-mail. The office hour is typically from 16:30 to 18:00 on Tuesdays.