On this Page:
Recommended Text:
Other Texts:
Grading:
Problem sets will be distributed in class, about once a week. Assignments will be due on Friday in the grader's mailbox by 5:00 PM.
I Review Electro- and Magneto- quasistatics (5 weeks)
A. Mathematical Review - Vector calculus and tensors
B. Electrostatics - Gauss' Law, Poisson's and Laplace's equation, multipoles
C. Magnetostatics - Ampère, Biot-Savart, vector potential, multipoles
D. Faraday's Law and Maxwell's Equations
E. Poynting's Theorem, Maxwell Stress-Tensor, Conservation Laws
F. Macroscopic Maxwell Equations
II Electromagnetic Waves (4 weeks)
A. The wave equation
B. Plane wave propagation in vacuum, dielectrics, conductors
C. Dispersion and pulse propagation
D. Kramers-Kronig relations
E. Metamaterails, neagitve index of refraction, etc.
III Radiation by Nonrelativistic Charges (4 weeks)
A. The potential formulation of Maxwell's equations; Gauge transformations
B. Green's functions and retarded-time potentials
C. Multipole expansions
D. Electric dipole, quadrapole, and magnetic dipole radiation
E. Scattering (scalar theory)
IV Special Relativity (2 weeks)
A. Review: Lorentz transformations, space-time diagrams, relativistic kinematics
B. Transformation of the fields - Magnetism as a relativistic phenomenon
C. Tensors in Minkowski space
D. Covariant formulation of Maxwell's equations
Date |
Topic |
Resources |
Jan. 17 |
Overview: Maxwell Eq., Units |
Jackson: Appendix |
Jan. 19 |
Vectors/Tensors, Vector fields |
|
Jan. 24 |
Electrostatics: Coulomb's Law, Delta functions, Field equations, Gauss' Law |
Jackson 1.1-1.4 |
Jan. 26 |
Electrostatic potential, Poisson's Eq., Laplace's Eq., Green's functions |
Jackson 1.5-1.10 |
Jan. 31 |
Conductors, Capacitors, Work and Energy in the Electrostatic Field |
|
Feb. 2 |
Continuation |
|
Feb. 7 |
Mutipole moments, General Cartesian expansion |
|
Feb. 9 |
Spherical multipoles - Spherical harmonnics |
|
Feb. 14 |
Intro to Magnetostatics: Field Eqns., Ampere's Law |
Jackson 5.1-5.3 |
Feb. 16 |
Ampere's Law, Formal Solutions, Magnetic Multipole expansion |
Jackson 5.4-5.7 |
Feb. 21 |
Ohm's Law, EMF |
Jackson 5.15-5.17 |
Feb. 23 |
Faraday's Law, Energy in Field |
Continuation |
Feb. 28 |
Displacement Current, Maxwell's Equations Quasi-Statics, Poynting's Theorem |
Jackson 6.1,6.7 |
Mar. 1 |
More conservation laws - Maxwell Stress-Tensor Momentum and Angular Momentum of Field |
|
Mar. 6 |
Wave equation, Plane waves I |
Jackson 7.1 |
Mar. 8 |
Continuation |
Jackson 7.2 |
Mar.12-16 |
SPRING BREAK |
|
Mar. 20 |
Wave equation, Plane waves II Fourier decomposition |
|
Mar. 22 |
Macroscopic Maxwell Equations |
Jackson 6.6 |
Mar. 27 |
Wave propagation in linear media |
Jackson 7.1 |
Mar. 29 |
Lorentz and models -- dispersion |
Jackson 7.5, 7.8, 7.9 |
Apr. 3 |
Kamers-Kronig relations |
Jackson 7.10 |
Apr. 10 |
Potential Formulation, Gauge Transformations Green's Function for Wave Equation |
Jackson 6.2-6.4 |
Apr. 12 |
Multipole Radiation (I) Electric dipole radiation |
Jackson 9.1-9.2 |
Apr. 17 |
Multipole radiation continued |
|
Apr. 19 |
Multipole Radiation (II) Higher multipoles: magnetic dipole, electric quadrupole |
Jackson 9.3 |
Apr. 24 |
Intro. to Scattering - Rayleigh scattering |
Jackson 10.1-10.2 |
Apr. 26 |
Scattering continued - , Structure Factor, Born Approx |
|
May 1 |
Relativity Review, Four vectors, Relativistic mechanics |
Jackson 11.1-11.5 |
May 3 |
Magnetism and relativity. Transformation of fields |
|
May 8 |
The Geometry of Minkowski Space |
Jackson 11.6-11.7 |
May 10 |
The Covariant Formulation of Electromagentism |
Jackson 11.9-11.10 |
Problem Set #1 Due Jan. 27 |
Problem Set #6 Due Mar. 23 |
Problem Set #2 Due Feb. 3 |
Problem Set #7 Due Mar. 30 |
Problem Set #3 Due Feb. 14 |
|
Problem Set #4 Due Feb. 21 |
Problem Set #9 Due Apr. 20 |
Problem Set #5 Due Mar. 9 |
Problem Set #10 Due May 4 |