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)