| Day, Date (Mon., dd, yyyy) | Lecture Content and Homework Assignment |
|---|---|
| Mon. Jan. 10, 2011 |
Lecture: Snowed out. Homework (HW #1: due 1/21): None. |
| Wed. Jan. 12, 2011 |
Lecture: Dielectric constant as a function of frequency for waves in
media. Homework (HW #1: due 1/21): Compute / find / discuss, as best as you can, about the resonant frequencies, damping constants and weight factors for one or more subtances. [This is admittedly somewhat open-ended.] |
| Thu. Jan. 13, 2011 |
Lecture: Discussion focused on special relativity - I. Homework: None. |
| Fri. Jan. 14, 2011 |
Lecture: Further discussion of frequency dependent dielectric
constants. Behavior at low and high frequencies. Model of
conductivity. Response of plasmas and metals to electromagnetic waves,
even at low frequencies. Homework (HW #1: due 1/21): Read Jackson section 7.6 and then solve Jackson problem 7.15. |
| Wed. Jan. 19, 2011 |
Lecture: The wave equation. Composite waves and their Fourier
transforms. Phase and group velocity. Homework (HW #2: due 1/28): Parts (a) and (b) of Jackson problem 7.25. |
| Thu. Jan. 20, 2011 |
Lecture: Discussion focused on special relativity - II. Homework (HW #2: due 1/28): None. |
| Fri. Jan. 21, 2011 |
Lecture: Characteristic time and skin depth in materials. Homework (HW #2: due 1/28): Jackson's section 8.1 extends our discussion to the magnetic fields near surfaces. Read this section and the discussion after eq. (8.11). Find the perpendicular component of B using his suggestions there. |
| Mon. Jan. 24, 2011 |
Lecture: Review of Chapter 7. Introduction to Waveguides. Homework (HW #3: due 2/4): None. |
| Wed. Jan. 26, 2011 |
Lecture: Expressing the transverse fields in terms of the longitudinal
fields in a waveguide. Homework (HW #3: due 2/4): Consider a waveguide with sources in its volume. How would equations (8.26a) and (8.26b) be modified? |
| Fri. Jan. 28, 2011 |
Lecture: Waveguides: equations and boundary conditions. Homework (HW #3: due 2/4): Jackson 8.4 (a). |
| Mon. Jan. 31, 2011 |
Lecture: Guide to solving waveguide problems. Solution of rectangular
waveguide problem using the transverse Helmholtz equation. Cutoff
frequencies, dispersion relation, phase and group velocities. Homework (HW #4: due 2/11): Jackson 8.5a. |
| Wed. Feb. 2, 2011 |
Lecture: Power transmitted in a perfect waveguide. Power lost per unit length in a waveguide. Homework (HW #4: due 2/11): Consider a TE wave in a rectangular waveguide, where the transverse dependence of the longitudinal field is given by Bz (x, y) = B0 cos(mπx/a) cos(nπy/b) Find the transmitted power and the power lost per unit length in terms of B0 and other relevant quantities. |
| Fri. Feb. 4, 2011 |
Lecture: Introduction to Radiation. Radiation zones. Homework (HW #4: due 2/11): Jackson 8.18. |
| Mon. Feb. 7, 2011 |
Lecture: Electric and Magnetic Fields due to oscillating
sources in the electric dipole approximation. Homework (HW #5: due 2/18): Jackson 9.1. |
| Wed. Feb. 9, 2011 |
Lecture: Electric Dipole (E1) Radiation. Homework (HW #5: due 2/18): Griffiths 11.21. |
| Fri. Feb. 11, 2011 |
Lecture: Magnetic Dipole (M1) and Electric Quadrupole (E2)
radiation. Comparison of formulas for H, E, dP/dΩ, P in the three cases: E1, M1 and E2. Homework (HW #5: due 2/18): Griffiths 11.22. |
| Mon. Feb. 14, 2011 |
Lecture: Basic ideas of scattering. Scattering from electric and
magnetic dipoles. Rayleigh's Law. Angular distribution of differential
scattering cross-section in the scattering plane and perpendicular to
it. Polarization of scattered wave. Homework (HW #6: due 2/25): Obtain Jackson's eq. (10.13). Then solve problem (10.1). |
| Wed. Feb. 16, 2011 |
Lecture: Comments on scattering from a conducting sphere, and on
scattering of sunlight (blue sky and red sunsets). Quiz on the
elements of diffraction: diffraction from single, double and
multiple slits. Statement of the Huygens-Fresnel principle. Homework (HW #6: due 2/25): Derive the N-slit diffraction formula. |
| Fri. Feb. 18, 2011 |
Lecture: Derivation of the Kirchoff formula. Babinet's principle of
complementarity. Homework (HW #6: due 2/25): Jackson 10.11 (a) and (b). |
| Mon. Feb. 21, 2011 |
Lecture: Scattering problem: reflection of radar by rain
drops. Diffraction problem: circular aperture. Systems of units: SI,
esu, emu, Gaussian and "rationalized" units. Homework (HW #7: due 3/4): None. |
| Wed. Feb. 23, 2011 |
Lecture: Discussion of units, concluded. Non-invariance of the Maxwell
Wave Equation under Galilean transformations. Review of Ch. 7. Homework: (HW #7: due 3/4): (a) Obtain the modified Maxwell Equations under a Galilean transformation. (b) Prove Jackson's assertion in the footnote on p. 516 that for the given form of the wavefunction the Schrödinger equation is invariant. |
| Fri. Feb. 25, 2011 |
Lecture: Discussion of Homework #6. Review of Chapters 8, 9. Homework: (HW #7: due 3/4): None. |
| Mon. Feb. 28, 2011 |
Exam 1. Covers Chapters 7, 8, 9. Homework: None. |
| Wed. Mar. 2, 2011 |
Lecture: None. Preponed to 1/13/11. Homework: None. |
| Fri. Mar. 4, 2011 |
Lecture: None. Preponed to 1/20/11. Homework: None. |
| Mon. Mar. 14, 2011 |
Lecture: Frames of reference. Events. Invariance. Covariance.
Voigt transformation. Lorentz transformations. A simple problem: moving rod. Homework (HW #8: due 3/25): Jackson 11.3. |
| Wed. Mar. 16, 2011 |
Lecture: Lorentz transformations applied to simple
problems. 4-vectors. Lorentz invariants. Proper time. Homework (HW #8: due 3/25): Griffiths 12.16. |
| Fri. Mar. 18, 2011 |
Lecture: 4-vectors and Lorentz invariants, continued. Spacelike,
timelike and lightlike intervals. 4-velocity. 4-momentum. Mass is an
invariant; energy increases with speed. Using
Lorentz invariants to solve problems. Doppler effect formula. Velocity
addition formula. Homework (HW #8: due 3/25): Griffiths, Particle Physics, 3.5. |
| Mon. Mar. 21, 2011 |
Lecture: More on 4-velocity and 4-momentum. Some relativistic
kinematics problems. Homework (HW #9: due 4/1): Griffiths, Particle Physics, 3.16. |
| Wed. Mar. 23, 2011 |
Lecture: 4-vectors. Metric. 4-gradient and its transformation. Contra- and co-variant
4-vectors. 4-force. Another kinematics problem. Homework (HW #9: due 4/1): Jackson 11.6. |
| Fri. Mar. 25, 2011 |
Lecture: Electromagnetic 4-vectors: Jμ (sources) and
Aμ (potentials). The electromagnetic field tensor: an
antisymmetric second-rank tensor with 6 components otherwise known as the
electric and magnetic fields. Lorentz transformations of the
electromagnetic field. Homework (HW #9: due 4/1): Jackson 11.26. |
| Mon. Mar. 28, 2011 |
Lecture: The dual field tensor. Lorentz invariants from the
electromagnetic field. Comparison of Lorentz transformations of
xμ, pμ, Sμ, E,
B: how the parallel and perpendicular components transform in
each case and
how Sμ is stiffer than pμ. Homework (HW #10: due 4/8): Obtain the Maxwell equations (in familiar form) from equations (11.141) and (11.143). |
| Wed. Mar. 30, 2011 |
Lecture: Building our intuition for electromagnetic fields in
relativity. Force on a charge moving parallel to a current-carrying
wire in two frames of reference. Minimizing getting wet in
relativistic rain: the (relativistic) run to the parking lot in the rain frame,
earth frame and person frame. Decays of
particles. Meaning of high-pT. Further problems from
Griffiths. Suggested problems: 12.46, 12.47, 12.51, 12.65, 12.66, 12.67. Homework (HW #10: due 4/8): Find the minimum and maximum opening angles in the lab frame when (a) a D0 meson with γ=100 decays to π+π- and (b) a π0 meson with γ=100 decays to γγ. The rest energy of a D0 meson is 1865 MeV, the rest energy of a charged pion is 140 MeV, and the rest energy of a neutral pion is 135 MeV. |
| Fri. Apr. 1, 2011 |
Lecture: Generators of Lorentz transformations. Homework (HW #10: due 4/8): Jackson 11.10. |
| Mon. Apr. 4, 2011 |
Exam 2. Covers Chapter 10 and everything in Chapter 11 that we covered
in class up to and including on 3/25/2011. Homework (HW #11: due 4/15): |
| Wed. Apr. 6, 2011 |
Lecture: Introduction to Thomas precession: the problem (Spin-Orbit
interaction term is twice as large as observed). The solution: Thomas
precession due to rotation of the electron rest frame. Rate of
rotation of the electron rest frame. Homework (HW #11: due 4/15): Jackson 11.11 and 11.12. |
| Fri. Apr. 8, 2011 |
Lecture: Derivation / justification of the BMT equation. Exposition of
the "g" term and the "g-2" term. Homework (HW #11: due 4/15): Derive Thomas precession from the BMT equation (11.164). Unlike Jackson, you should not skip any steps (show all your work, with every step in detail). |
| Mon. Apr. 11, 2011 |
Lecture: The (g-2) term and muon spin precession. Homework (HW #12: due 4/22): Starting from the BMT equation (11.164), derive equations 11.170 and 11.171. Unlike Jackson, you should not skip any steps (show all your work, with every step in detail). |
| Wed. Apr. 13, 2011 |
Lecture: Derivation of equations for a charged particle in a field using Lagrangians
and the Action Principle (a) non-relativistically and (b)
relativistically. These equations are the free particle equation of
motion, the Lorentz force law and the Maxwell equations. Homework (HW #12: due 4/22): Jackson 12.2. |
| Fri. Apr. 15, 2011 |
Lecture: Charged Particles passing through matter: the main processes,
an introduction. Energy loss of charged particles, part I. Homework (HW #12: due 4/22): Jackson 13.1. |
| Mon. Apr. 18, 2011 |
Lecture: Presentation on
Auroras
by Matt Seaton and Rasha
Kamand. Elementary consideration of energy loss by charged particles. Homework (HW #13: due 4/25): Jackson 11.17. |
| Wed. Apr. 20, 2011 |
Lecture: Presentation on
Witricity
by Ning Lu. Energy loss by charged
particles traversing media: a more accurate derivation of the
Bethe-Bloch formula. Homework (HW #13: due 4/25): None, but read Griffiths Examples 10.3, 10.4, 12.13, 12.14. |
| Fri. Apr. 22, 2011 |
Lecture: Presentations by Hao Jiang on Neutral
Beam Accelerators, by Tongtong Cao on
Synchrotron Radiation, and by
Nic Chott and Dawei Li on Antennas. Homework (HW #13: due 4/25): None. |
| Mon. Apr. 25, 2011 |
Lecture: Course Review for Final Exam. No Homework. |
| Mon. May 2, 2011 9:00 AM - 12:00 noon | FINAL EXAM: Covers ALL material! |
