《电动力学》教学大纲

一、课程基本信息

开课单位: 物质科学与技术学院 课程代码: PHYS1314
课程名称: 电动力学 英文名称: Electrodynamics
学 分: 4 学 时: 64
授课对象:   授课语言: 中英文
先修课程:

二、课程简介和教学目的

本课程讨论 Maxwell 方程对电磁现象的定量描述。内容主要包括静电场,静磁场,电磁波,电磁场与介质的相互作用, 狭义相对论,粒子在电磁场中的运动和运动粒子的电磁辐射。

三、教学内容、教学方式和学时安排


四、考核方式和成绩评定

作业(25-30%);quizzes、课堂参与与课堂活动(20-25%);期中考试(20%);期末考试(30%)

五、推荐教材

书名 作者 译者 出版社 出版时间 ISBN
Introduction to Electrodynamics David J. Griffiths Pearson 2013-00 978-0-321-85656-2
Relativity Made Relatively Easy Andrew M. Steane Oxford University Press 2012-00 978-0199662869
现代电动力学 王振林 高等教育出版社 2022-00 978-7-04-058621-3

六、参考书目

书名 作者 译者 出版社 出版时间 ISBN
Classical Electrodynamics John David Jackson John Wiley & Sons,Inc. 1998-01 978-0471309321

七、其他说明

八、教师信息和开课单位审核意见

授课教师

(签名)

    年   月   日
邮  箱 jamcguire@shanghaitech.edu.cn
电  话
开课单位审核意见

(签名)

                   年   月   日

《Electrodynamics》Syllabus

1.Basic course information

unit: School of Physical Science and Technology course code: PHYS1314
course name: 电动力学 course name: Electrodynamics
credits: 4 period: 64
teaching object:   teaching language: Chinese and English
previous course:

2.Course introduction and teaching purpose

Electricity and magnetism are of primary importance in physics and technology. The unification of electricity and magnetism represents the first example of a unifying field theory, and electrodynamics was the first relativistically correct field theory. Electrodynamics is thus a model for other field theo-ries. Moreover, electricity and magnetism underlie most of the physical phenomena we experience while enabling the design of electronic devices and sophisticated experimental apparatuses. These include charged particle accelerators such as at the Shanghai Synchrotron Radiation Facility, electron focusing elements in electron microscopes as at the ShanghaiTech Center for Electron Microscopy, X-ray free electron lasers, cold atom traps, and electronics for quantum computation.
Although this is a course in electrodynamics, we will begin by studying electromagnetism in the regime in which the velocities of moving charges are small and their accelerations can be neglected be-fore lifting these restrictions and developing a fully dynamical and relativistic treatment.

3.Teaching content, teaching method and teaching time arrangement

Unit

Teaching Contents

Week

Contact Hours

Teaching Modes

第一章

Review of electrostatics

Flux and divergence, circulation and curl, integral and differential formulations of Gauss' law and irrotational fields;

The electric potential, Poisson equation, Helmholtz theorem

第一周

4学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

第二章

Mathematical methods

Solutions to the Laplace equation: electrostatic boundary value problems: method of images; separation of variables in different coordinate systems using Euler notation, Legendre polynomials, and spherical harmonics; the multipole expansion

2周-第3周

8学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

第三章

Electric fields in dielectric media

Polarizationelectric displacement dielectric boundary value problems

4周

4学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

第四章 Magnetostatics

The Lorentz force, the Biot-Savart Law, Ampere's Law, the vector potential;

the magnetic multipole expansion;

magnetic fields in matter: magnetization and bound currents, magnetic scalar potentials and vector spherical harmonics in magnetic boundary value problems

5周-第6周

6学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

第五章 Introduction to electrodynamics

Motional electromotive force Faraday's law of induction inductance, magnetic field energy;

the displacement current and Maxwell’s equations;

conservation laws, Poynting’s theorem, the stress tensor

第6周-第7周

6学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

Midterm exam



2-3学时

closed-book

第六章 Electromagnetic waves

electromagnetic waves in vacuum;

boundary conditions; Fresnel coefficients for reflection and transmission; electromagnetic waves in linear dielectrics, total internal reflection;

electromagnetic waves in conductors; plasmas;

guided and confined waves;

gauge transformations

第8周-第11周

14学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

第七章 Special relativity

Experimental basis for the special theory of relativity;

invariance and Lorentz transformations;

causality, simultaneity, and space-time diagrams;

four-vectors and the covariance of physical laws;

conserved quantities;

relativistic electrodynamics: current density and potential four vectors, the electromagnetic field tensor (Faraday tensor); invariance of electromagnetic fields

12周-第14周

12学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

第八章

Radiation

Special relativistic treatment of radiation: radiation by accelerating point charges;

multipole radiation; synchrotron radiation;

antennas;

scattering

15周-第16周

8学时

Quizzes,class discussion, class exercises, homework (reading, problem set)

Final exam


1718

3学时

Closed-book


4.Assessment methods and performance evaluation

Course grades will be determined by problem sets (homework) (40%), midterm exam (20%), final exam (25%), and in-class engagement (15%). The grading scheme might vary slightly according to the amount of evaluated in-class activities.

The correlation between homework grades and exam scores tends to be strong in this course (Pearson correlation coefficients between 0.6 and 0.9, where 1.0 means perfect correlation and -1.0 means perfect anti-correlation). Keeping in mind that correlation is not causation, homework is important not only for the homework portion of the grade but as preparation for the exams.

5.Other instructions

Pre-class notes, notes from the classroom, homework and homework solutions will be posted on Blackboard. Homework will be submitted on Blackboard. Office hours are typically arranged for the night before homework is due.

6.Teachers' information and audit institute

teacher

(signature)

    /   /   /
email jamcguire@shanghaitech.edu.cn
telephone
Institute of audit opinion

(signature)

                   /   /   /