Grader: Jock McOrist
Office: RI 165
Telephone: 834-4661
e-mail: jmcorist@uchicago.edu
A. Maxwell's Equations 1. Definitions of the vectors E, D, P, and B, M, H. 2. Units 3. Integral and differential forms of Maxwell's Equations 4. Representation of E and B in terms of potentials. 5. Gauge Transformations, Lorentz gauge, Coulomb gauge. 6. Wave Equations for fields and potentials. 7. Energy, momentum and stress Tensors. Poynting vector, etc. B. Static Solutions 1. Static Maxwell equations; Poisson's equation. 2. Conformal mapping techniques 3. Expansion in eigenfunctions 4. Multipole expansion 5. Dielectric media C. Plane Electrodynamic Waves 1. Wave fields; polarization. 2. Dielectric, magnetic, dispersive media. 3. Phase and group velocities 4. Conducting media, dissipation. 5. Reflection, refraction, boundaries. D. Transmission Lines, Wave Guides, Resonant Cavities 1. Cylindrical and rectangular boundaries 2. Energy flow, losses. 3. Dielectric waveguides, fiber modes E. Radiation 1. Expansion of retarded integrals for non-relativistic case 2. Dipole, quadrupole radiation. Near and far fields. 3. Cyclotron radiation, center-fed linear antenna 4. Thomson scattering; small dielectric spheres; other examples. F. Diffraction. 1. Discussion of rigorous solution 2. Huygen's principle and Kirchoff's integral 3. Fraunhofer and Fresnel diffraction 4. Rectangular and circular apertures. 5. Fresnel lens, Babinet's principle.
Homework 1: Jackson 1.3, 1.5, 1.10, 2.20, 2.23; Due Thursday, January 17. Note: Unless otherwise specified, problem numbers refer to the *3rd* edition of Jackson. Most (but not all) of the problems in the 3rd edition are also contained in earlier editions, but very often with a different problem number. Solutions in .ps and .pdf format Mean score: 41/50 %%%%%%%%%%%%%%%%%% Homework 2: in .ps and .pdf format Solutions in .ps and .pdf format Mean score: 24/30 %%%%%%%%%%%%%%%%%% Homework 3: Jackson 3.3, 3.12a-b (ignore part c), 4.5a (ignore part b), 4.10, 4.13; Due Thursday, January 31. Solutions in .ps and .pdf format Mean score: 43/50 %%%%%%%%%%%%%%%%%% Homework 4: Jackson 5.1, 5.7, 5.13: Due Thursday, February 7. Solutions in .ps and .pdf format Mean score: 28/30 %%%%%%%%%%%%%%%%%% Homework 5: Jackson 5.29, 6.3, 6.8 (Hint: use equation 6.100); Due Thursday, February 14. Solutions in .ps and .pdf format Mean score: 29/30 %%%%%%%%%%%%%%%%%% Homework 6: Jackson 6.14, 7.3, 7.6, 7.8; Due Thursday, February 21. Solutions in .ps and .pdf format Mean score: 34/40 %%%%%%%%%%%%%%%%%% Homework 7: Jackson 7.12, 7.13, 7.22, 7.26; Due Thursday, February 28. Solutions in .ps and .pdf format Mean score: 37/40 %%%%%%%%%%%%%%%%%% Homework 8: Jackson 7.14, 9.2 (use results from 9.1), 9.14; Due Thursday, March 6. Solutions in .ps and .pdf format Mean score: 23/30 %%%%%%%%%%%%%%%%%% Homework 9: Jackson 10.3, 10.9a (ignore part b), 10.14; Due Thursday, March 13. Hand the HW in to the grader Jock McOrist by noon (Jock's office is RI 165). Solutions in .ps and .pdf format Mean score: 27/30