《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: |
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teaching language: |
Chinese and English |
previous course: |
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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 | 第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 | Polarization,electric displacement, dielectric boundary value problems | 第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 | 第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 |
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| 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 | 第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 | 第15周-第16周 | 8学时 | Quizzes,class discussion, class exercises, homework (reading, problem set) | Final exam |
| 第17、18周 | 3学时 | Closed-book |
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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 |
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Institute of audit opinion |
(signature)
/ / / |
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