# Graduate Electrodynamics

Lecture Notes by Michael Fowler, UVa.

## Text:  Classical Electrodynamics, Jackson

This is a continuing project, the lectures may be further edited.

* means optional.

## Lectures

1. A Guide to Jackson Chapter 1

2. Discontinuities in fields at surfaces

3. Reviewing Units. Warning: Jackson is bilingual!

4. Math Bootcamp

5. More Math: Helmholtz' Theorem

6. Electrostatics I

7. Electrostatics II: Conductors, Green's Theorem, Green's Functions

8. Images

9. Green's Reciprocation Theorem

10. Capacitances

11. Green's Function and Basis States

12. Cartesian Variable Separation

13. Complex Plane

14. 2D Electrostatics Using Complex Variable I

15. 2D Electrostatics Using Complex Variable II

16. Conformal Mapping

17.* Van der Pauw's Theorem

18. Spherical Harmonics

19. Remarks on some Azimuthally Symmetric Problems

20. Spherical Green's Functions

21. Cylindrical Symmetry: Bessel Functions

22. Cylindrical Green's Functions

23. * Charged Conducting Disc

24. * Charged Needle

25. * Conducting Plane With Circular Hole

26. Multipoles

27. Dielectrics I

28 Dielectrics II

29. Molecular Polarizability

30. Magnetostatics I

31. Magnetostatics II

32. Magnetization and the field H

33. Magnetic Materials

34. Magnetostatic Boundary Conditions

35. Faraday Induction

36. Field Energy and Inductance

37. Quasi-Static Magnetic Fields in Conductors

38. Maxwell's Equations

39. Time-Dependent Green's Functions

40. * Derivation of Macroscopic Equations

41. Poynting's Theorem: Energy Flow and Conservation

42. Poynting Flow in Lossy Media

43. Poynting Flow for Harmonic Fields

44. Electromagnetic Symmetries. The Dirac Monopole.

45. Impedance 101

46. Plane Electromagnetic Waves

47. Frequency Dispersion in Dielectrics and Conductors

48. The High Frequency Limit: Plasma Frequency

49. Propagation in the Ionosphere

50. Group Velocity and Wave Packet Spread

51. Kramers Kronig Dispersion Relations

52. Plane Waves in Anisotropic Media

53. From Oersted to Waveguides

54. Waveguides I

55. Waveguides II

56. Resonant Cavities and Schumann Resonances

57. Radiating Systems, Dipole and Quadrupole Fields

58. *Multipole Radiation

59. Scattering of EM Waves

60. Diffraction

61. Introduction to Special Relativity

62. SR Formalism

63. Relativistic Dynamics

64. Elementary Introduction to How Fields Transform

65. Relativistic Notation, the Field Tensor

66. From the Larmor Formula to the Relativistic Case

67. Lienard Weichert Potentials

68. Thomas Precession

69. Synchrotron Radiation

70. Cherenkov Radiation

71. Spin One-Half in Slowly Varying Field: g - 2

72. Relativistic Particle in Electromagnetic Field

73. Charged Particle in Static Electric and/or Magnetic Field

74. Guiding Center Drift in Nonuniform Magnetic Field

75. Adiabatic Invariants for a Charged Particle in a Varying Magnetic Field

Two of my other courses:   Graduate Classical Mechanics, text used: Landau and Lifshitz.   Graduate Quantum Mechanics,  text used: Shankar.

If you want some lighter reading, try my Modern Physics notes.

Some further sets of notes (undergraduate): Gravity, Fluids, Oscillations and Waves, Heat and Thermodynamics.