Advanced E&M
Graduate · Physics
Syllabus focus
Topics typically covered
Theoretical / proof-based
Electrostatics and magnetostatics
- Green's functions for Poisson and Laplace equations
- Boundary-value problems with separation of variables
- Multipole expansions and electrostatics of media
- Magnetization and macroscopic Maxwell equations
- Energy minimization and variational principles
Waves and radiation
- Gauge choices and retarded potentials
- Multipole radiation and antenna theory
- Diffraction theory: Fresnel and Fraunhofer
- Waveguides, cavities, and resonant modes
- Scattering of waves by spheres and cylinders
Relativistic E&M
- Covariant formulation and field strength tensor
- Lienard–Wiechert potentials
- Radiation reaction and Abraham–Lorentz (intro)
- Stress–energy tensor and conservation laws
- Optical theorem and dispersion relations
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Electrostatics and magnetostatics
Green's functions for Poisson and Laplace equations
Coming soon - Waves and radiation
Gauge choices and retarded potentials
Coming soon - Relativistic E&M
Covariant formulation and field strength tensor
Coming soon
Notes
Topics reflect common graduate physics core and elective syllabi at US universities. Sequencing and emphasis vary between one- and two-semester treatments.