Date |
Notes |
W 1/6 |
Classes Begin. Administrivia.
Begin Chapter 7: Plane Electromagnetic Waves.
Plane waves in dispersive medium: group velocity.
|
F 1/8 |
Plane waves in dispersive medium: second order dispersion.
model for ε(ω).
|
M 1/11 |
Low frequency complex ε
and conductivity, high frequency and plasma.
Linear, circular, elliptical polarizations, Stokes parameters.
|
F 1/13 |
Plane interface, specular reflection, Snell's law.
Refracted and reflected amplitudes for
perpendicular and parallel polarizations.
|
F 1/15 |
Total internal reflection. Brewster's angle.
Smoothly varying n(x), geometric optics,
Eikonal function. (Section 8.10)
|
M 1/18 |
MLK Day (no class)
|
W 1/20 |
Eikonal equation, ray tracing, dynamics analogs.
|
F 1/22 |
Fermat's principle.
Confined paths.
|
M 1/25 |
Magnetohydrodynamics.
Hydrodynamics, sound waves.
|
W 1/27 |
Magnetohydrodynamic waves.
Master equation,
longitudinal magnetosonic wave, Alfvén wave
|
F 1/29 |
Sound wave.
Damping from viscosity, conductivity.
Plasma regime.
|
M 2/1 |
Begin Chapter 9: Radiating systems.
Helmholtz equation, Green's function, radiation regime.
Long wavelength approximation.
|
2 2/3 |
Electric dipole radiation, angular distribution,
total radiated power.
Magnetic dipole radiation.
|
F 2/5 |
Electric quadrupole radiation, angular distribution,
total radiated power.
|
M 2/8 |
Rotating sources.
Exact solution, linear antenna.
|
W 2/10 |
Linear antenna
integrated power,
radiation resistance.
Modes for Helmholtz equation.
|
F 2/12 |
Spherical Bessel functions.
Spherical expansion of Green's function for Helmholtz equation.
|
M 2/15 |
Multipole expansion.
L operator,
vector spherical harmonics.
|
W 2/17 |
Multipole angular distributions
|Xlm|2.
Total power, radial energy density, radial angular density.
|
F 2/19 |
Multipole sources.
|
M 2/22 |
Multipole expansion for linear antenna.
Begin Chapter 10: Scattering and diffraction.
Cross section.
|
W 2/24 |
Scattering from small dielectric sphere.
Conducting sphere, electric and magnetic dipole moments.
|
F 2/26 |
Conducting sphere. Parallel and perpendicular polarizations.
Multipole scattering, circularly polarized incident wave.
|
2/293/4 |
Spring Break (no class)
|
M 3/7 |
Multipole expansion.
Scattering, absorption cross sections.
|
W 3/9 |
Optical Theorem. Surface impedance.
Midterm Exam, 7:00pm
|
F 3/11 |
Expansion coefficients for conducting sphere.
Numerical results.
|
M 3/14 |
Diffraction. Scalar Kirchhoff integral. Single slit diffraction.
|
W 3/16 |
Diffraction from circular aperture.
Babinet's principle, Poisson's bright spot.
|
F 3/18 |
Vector Green's theorem.
Diffraction from conducting sphere.
|
M 3/21 |
Diffraction from conducting sphere,
shadow scattering, hard sphere scattering.
|
W 3/23 |
Begin Chapter 11: Special Relativity.
Spacetime, vectors and covectors, metric,
Lorentz inner product.
|
F 3/25 |
Lorentz transformations, rotations, boosts.
|
M 3/28 |
Tensors. Proper time, 4-velocity uα
= dxα/dτ,
4-acceleration aα
= duα/dτ.
|
W 3/30 |
Constant proper acceleration,
amusing numbers.
Relativistic velocity addition.
|
F 4/1 |
Energy-momentum 4-vector
pα = muα
= (E/c, p).
4-vector current density
Jα = (cρ, J).
Gaussian units.
|
M 4/4 |
Electromagnetic field tensor(s).
Manifestly covariant Maxwell equations
|
W 4/6 |
Lorentz force.
Transformation of EM field.
Transformed Coulomb field of point charge.
|
F 4/8 |
Manifestly covariant Green's function,
potentials and fields of charged point particle.
(Liénard-Wiechert potentials).
|
M 4/11 |
Another transformed Coulomb field of point charge.
Radiation from accelerated charges.
Larmor radiation, relativistic generalization.
|
W 4/13 |
Relativistic angular distributions.
|
F 4/15 |
Thomson scattering.
Eddington luminosity.
Action formulation of field theories.
|
M 4/18 |
Lagrangian for electromagnetism.
Symmetries, Nöther's theorem.
Broken symmetry.
|
W 4/20 |
Last day of class.
Gauge symmetry, non-Abelian gauge symmetry,
broken non-Abelian gauge symmetry,
magnetic monopole solution.
|
W 4/27 |
Final Exam, 12:302:30pm
(Exam Period 27C)
|