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)
3
After completing the course, students are expected to:
1. Get familiar with useful mathematical analysis tools such as vector analysis and differential coordinates.
2. Master the basic concepts of static electric field, including Coulomb’s law, Gauss’ law, Laplace’s and Poisson’s
Equation, dielectric material.
3. Master the basic concepts of steady magnetic field, including Biot-Savart’s law, Ampere’s circuital law, and
Lorentz Law, magnetic field and magnetic flux density, vector potential.
4. Understand the Maxwell’s Equations in differential and integral formats, understand the concepts of time-
harmonic fields and wave equations, displacement current.;
5. Master the basic concepts of plane wave, including Poynting vector, propagation constant, impedance,
reflection, refraction, dispersion, etc.
6. Get familiar with guided waves and their applications such as metal waveguides, transmission lines, and optic
fibers.
17.
课程内容及教学日历 (如授课语言以英文为主,则课程内容介绍可以用英文;如团队教学或模块教学,教学日历须注明
主讲人)
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)
课程内容安排 Course syllabus
第 1 章:电磁场与电磁波数理基础:矢量分析方法,点乘、叉乘、梯度、旋度、散度;直角坐标、柱坐标系和球坐标系之
间的转换(2 学时)
Lecture 1: Fundamentals of mathematical tools for solving electromagnetic problems: Vector Analysis including
dot product, cross product, gradient, curl, divergence. Transforms in different coordinates such as Cartesian, cylinder,
and sphere coordinates.
第 2 章:静态电场:从库仑定律出发学习电场强度和电通量密度;学习高斯定理、电势、线积分、静电场的能量守恒等概
念;学习介质材料,介电常数、极化系数、拉普拉斯和泊松方程等。(8 学时)
Lecture 2: Static electric field: start from Coulomb’s Law to derive electric field intensity and electric flux density.
Study Gauss’s Law and find electric potential, line integral, conservative property of the static electric field, Dielectric
materials, permittivity, susceptibility, Laplace’s and Poisson’s Equation.
第 3 章:静态磁场:学习毕奥萨伐尔定律、安培环路定理、磁场强度、磁通量密度、磁导率等概念;学习磁场的高斯定
理、磁势、矢势、磁性材料和磁化、磁场边界条件等(8 学时)
Lecture 3: Static current field and steady magnetic field: Biot-Savart Law, Ampere’s circuital Law, magnetic field,
magnetic flux, magnetic flux density, permeability, Gauss’s Law for the magnetic field, magnetic potential, vector
potential, magnetic material and magnetization, magnetic boundary condition
第 4 章:时变场和麦克斯韦方程:学习静态场的麦克斯韦方程组,引入时变场和位移电流的概念,学习法拉第定律、洛伦
兹规范、时谐波以及波动方程(10 学时)
Lecture 4: Maxwell’s Equations and time-varying fields: Maxwell’s Equations for static fields, concept of the time-
varying fields, displacement current, Faraday’s Law, Lorentz Gauge, wave equations, time-harmonic waves
第 5 章:平面波:以波在真空中传播为例,扩展到在介质中传播,学习传播常数、坡印廷矢量、趋肤效应、阻抗、反射、
透射、折射、驻波、和色散的概念(12 学时)
Lecture 5: Plane wave: wave in free-space, wave in dielectric, propagation constant, Poynting vector, skin effect,
impedance, reflection, refraction, transmission, standing waves. dispersion.
第 6 章:电磁场电磁波应用:以理想传输线和光纤为例分析电磁波在金属波导和介质波导中的传输,利用特定的边界条件
求解电磁波在波导中的分布和传播方式。(8 学时)