PHY381: Advanced Electrodynamics

In this course we build on second-year electromagnetism. Our starting point is Maxwell's equations, after a brief recap of the vector calculus you have learned in your first year. We describe the electric and magnetic fields in terms of potentials, and present two general classes of solving Maxwell's equations. We treat fields in macroscopic media, waveguides and cavities, and we end with the relativistic formulation of electrodynamics.

pdf Lecture notes (86 pages, 2.6 MB)

pdf Homework problems with solutions (35 pages, 731 kB)

There will be one assessed homework exercise towards the beginning of the semester (15% of the total mark) and the final assessment will be via a two-hour written exam (85% of the total mark). For PHY481, the assessed homework counts for 5%, and the remaining 10% is obtained via an essay.

Integrating over vectors:

Index notation:

Gauge transformations:

Multipole expansions:

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