Class Diary for PHY 6347

   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.
2/29–3/4 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/, 4-acceleration aα = duα/.
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 = (, 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, 12:30–2:30pm (Exam Period 27C)