It covers advanced topics ranging from covariant form of Maxwell equations, electromagnetic field tensors, Liénard-Wiechert potentials and multipole radiation to plasma physics and dispersive media. The course reconstructs electrodynamics based on four-dimensional tensor formalism, helping students establish a modern understanding of electromagnetic phenomena.

Syllabus

Advanced Electrodynamics Introduction

Chapter 1 Foundations and Mathematical Preliminaries

Chapter 2 Special Relativity and Four-Vectors

Chapter 3 The Electromagnetic Field Tensor

Chapter 4 Maxwell’s Equations in Covariant Form

Chapter 5 Green’s Functions and Retarded Potentials

5.1 Green’s Functions and Retarded Potentials（Ⅰ）
5.2 Green’s Functions and Retarded Potentials（Ⅱ）

Chapter 6 Li´enard–Wiechert Potentials

6.1 Li´enard–Wiechert Potentials（Ⅰ）
6.2 Li´enard–Wiechert Potentials（Ⅱ）

Chapter 7 Fields of a Moving Point Charge

7.1 Fields of a Moving Point Charge（Ⅰ）
7.2 Fields of a Moving Point Charge（Ⅱ）

Chapter 8 Radiation from Accelerating Charges

8.1 Radiation from Accelerating Charges（Ⅰ）
8.2 Radiation from Accelerating Charges（Ⅱ）

Chapter 9 Relativistic Radiation Generalizations of Larmor’s Formula

9.1 Relativistic Radiation Generalizations of Larmor’s Formula（Ⅰ）
9.2 Relativistic Radiation Generalizations of Larmor’s Formula（Ⅱ）

Chapter 10 Radiation from Extended Systems Multipole Expansion

10.1 Radiation from Extended Systems Multipole Expansion（Ⅰ）
10.2 Radiation from Extended Systems Multipole Expansion（Ⅱ）

Chapter 11 Antenna Theory and Practical Radiation

11.1 Antenna Theory and Practical Radiation（Ⅰ）
11.2 Antenna Theory and Practical Radiation（Ⅱ）

Chapter 12 Scattering and Diffraction of Electromagnetic Waves

12.1 Scattering and Diffraction of Electromagnetic Waves（Ⅰ）
12.2 Scattering and Diffraction of Electromagnetic Waves（Ⅱ）

Chapter 13 Macroscopic Electrodynamics Fields in Matter

13.1 Macroscopic Electrodynamics Fields in Matter（Ⅰ）
13.2 Macroscopic Electrodynamics Fields in Matter（Ⅱ）

Chapter 14 Dispersive Media and Wave Propagation (High-Frequency Fields)

Chapter 15 Advanced Topics and Unification Modern Problems of Electrodynamics

15.1 Advanced Topics and Unification Modern Problems of Electrodynamics（Ⅰ）
15.2 Advanced Topics and Unification Modern Problems of Electrodynamics（Ⅱ）

Chapter 16 Macroscopic quantum processes and electromagnetic phenomena in astrophysics

16.1 Macroscopic quantum processes and electromagnetic phenomena in astrophysics（Ⅰ）
16.2 Macroscopic quantum processes and electromagnetic phenomena in astrophysics（Ⅱ）