Syllabus for Electrodynamics
PHYS3107
Current Lecturer
Prof. Zhihong HANG Email: zhhang@suda.edu.cn
Course Time
4th Semester
Lectures: 4 sessions/week, 50min /session. 18 weeks.
Course Description
Electrodynamics is the advanced course to Electricity-Magnetism and Optics. Using advanced mathematical tools, including vector analysis and solving partial differential equations, electrodynamics teaches the students the general theories of electromagnetic wave. The topics include: electrostatics and magnetostatics, Maxwell’s equation, Electromagnetic waves, Radiation and Special Relativity.
Prerequisites
General Physics II (PHYS1026); Optics (PHYS3126); Method of Mathematical Physics (PHYS3103)
Textbooks
Griffiths, David J. Introduction to Electrodynamics. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 1998
郭硕鸿，电动力学（第三版），高等教育出版社，2008
Main contents
Week | Teaching Contents | Sessions | Objectives |
1 | Introduction to the course Vector analysis | 1+3 | Grasp the vector algebra needed through the whole course Operators: Gradient, Divergence and Curl; physical understanding Chapter 1 |
2 | Electrostatic Fields Work and Energy in electrostatics Electric Fields in Matter | 1+1+2 | Review the concept of electrostatics Microscopic picture of polarization and permittivity Boundary Conditions of electric fields Chapter 2.1,2.2,2.4, Chapter 4.1-4.4 |
3 | Electric Potential Conductors Laplace Equation
| 1+1+2 | Revisit electrostatics problems with the concept of electric potential Introduction to conductor Laplace Equation: Mathematics Chapter: 2.3, 2.5, Chapter 3.1 |
4 | Uniqueness Theorem The Method of Images Separation of Variables | 1+2+1 | Special Techniques for electrostatic problems: Method of Image and Separation of Variables Chapter 3.1-3.3 |
5 | Multipole Expansion Magnetostatics | 2+2 | Multipole Expansion: Monopole and Dipole, electric field of a Dipole Magnetic fields and forces Quiz1, Chapter:3.4, Chapter 5.1-5.3 |
6 | Magnetic Vector Potential Magnetic Fields in Matter | 1+3 | Magnetic fields in Matter Analogy between electric and magnetic fields Chapter 5.4 Chapter 6.1-6.4 |
7 | From Ohm’s Law to Faraday’s Law Maxwell’s Equations | 4 | Deduction of Maxwell’s Equation 7.1-7.3.3 |
8 | Maxwell’s Equation in Matter Boundary Conditions Conservation Laws: Charge and Energy | 2+2 | Maxwell’s Equation in Matter Boundary condition of Maxwell’s equation Poynting Vector Revisit of Uniqueness Theorems Chapter 7.3, Chapter 8.1 |
9 | Momentum Conservation and Optical Force Dispersion of Permittivity Midterm | 1+1+2 | Momentum Conservation; Maxwell Stress Tensor Dispersions of Materials Chapter 8.2, Chapter 9.4.3 Midterm Covers first 7 chapters |
10 | Electromagnetic Wave | 4 | Wave Equations, Boundary conditions, Electromagnetic Waves in Vacuum Chapter 9.1-9.2 |
11 | Electromagnetic Waves in Matter | 2+1+1 | Reflection and Transmission from a semi-infinite dielectric Electromagnetic Waves in Conductors Introduction to Lumerical and Student Projects Chapter 9.3-9.4.2 |
12 | Microwave Devices: cavity, parallel plates, waveguides, 1D photonic crystal | 4 | Wave Equations with conductors Numerical/Microwave Experiment Demonstration Guo’s book: Chapter 4.4-4.6 |
13 | Scalar and Vector Potential Retarded Potential
| 2+2 | Potential of Electromagnetic Waves Gauge Transformation Retarded Potential Chapter 10.1-10.2 |
14 | Radiation | 4 | Dipole Radiation Antenna Radiation (Numerical Demonstration) Chapter 11 |
15 | General Relativity Relativistic Mechanics | 2+1+1 | Introduction to General Relativity Momentum 4-vector Movie: E=MC2 Chapter 12.1-12.2 |
16 | Relativistic Electrodynamics Student Presentations | 2+2 | Electrodynamics in Tensor Notation Project Presentation Chapter 12.3 |
17 | Review of the whole course | 4 | General Review and Preparation for final exams |
Marking Scheme:
Homework | Quiz | Project | Midterm | Final exam |
10% | 25% | 10% | 15% | 40% |
