Class Diary for PHY 6347

   Date       Notes
W 1/17  Shift instructor, Potentials in Maxwell equations, gauge freedom, Lorentz gauge. Energy flux, Poynting vector.
F 1/19  Field momentum density, momentum flux, Maxwell stress tensor. Angular momentum of static and magnetic monopole fields.
M 1/22  Dirac monopole. Harmonic time dependence. Poynting's theorem for devices.
W 1/24  Rotations, vectors, tensors. Tensor dual.
F 1/26  Tensor content of Maxwell's equation. Duality. Begin Chapter 7: Plane electromagnetic waves.
M 1/29  Waves in dispersive medium, phase velocity, group velocity. model for ε(ω)
W 1/31  Medium with free electrons. Second order dispersion. Linear and circular polarizations.
F 2/2  Elliptical polarization, Stokes parameters. Plane interface between two media, specular reflection, Snell's law.
M 2/5  Plane interface, reflected, transmitted amplitudes.
W 2/7  Reflection, transmission coefficients, total internal reflection, Brewster's angle. Start magnetohydrodynamics.
F 2/9  Hydrodynamics, sound waves. MHD equations, master equation.
M 2/12  MHD solutions: magnetosonic wave, Alfvén wave.
W 2/14  Begin Chapter 9: Radiating systems. Helmholtz equation, Green's function, radiation regime.
Long wavelength approximation.
F 2/16  Long wavelength regime. Electric dipole radiation, fields, angular distribution, total power. Magnetic dipole radiation.
M 2/19  Duality in magnetic dipole radiation. Electric quadrupole radiation.
W 2/21  Quadrupole gravitational radiation. Rotating systems. Exact solution for linear antenna.
F 2/23  Linear antenna dipole limits. Integrated power, P(kd). Modes for Helmholtz equation, spherical Bessel functions.
M 2/26  Spherical expansion of Green's function for Helmholtz equation. Midterm Exam 7:30pm
W 2/28  Multipole expansion. L operator. Vector spherical harmonics.
F 3/2  Multipole expansion. Angular distribution, total power, radial energy density, radial angular momentum density.
3/5–3/9 Spring Break (no class)
M 3/12  Multipole sources.
W 3/14  Multipole expansion for linear antenna.
Begin Chapter 10: Scattering and diffraction. Cross section. Scattering from small dielectric sphere.
F 3/16  Parallel and perpendicular polarizations. Scattering from conducting sphere.
M 3/19  Multipole formulation of scattering. Circularly polarized incident wave.
W 3/21  Scattering, absorption, total cross section. Optical theorem. Conducting sphere, surface impedance.
F 3/23  Amplitude coefficients for conducting sphere.
M 3/26  Diffraction. Scalar Kirchhoff approximation. Single slit diffraction.
W 3/28  Diffraction through a circular aperture. Babinet's principle. Vector diffraction, conducting sphere.
F 3/30  Begin Chapter 11: Special Relativity. Spacetime, vectors and covectors, metric, Lorentz inner product.
M 4/2  Lorentz transformations.
W 4/4  Properties of Lorentz transformations. Tensors.
F 4/6  Proper time, 4-velocity uα = dxα/ = (γc, γv), 4-acceleration aα = duα/. Constant proper acceleration, amusing numbers
M 4/9  Relativistic velocity addition. Energy-momentum 4-vector pα = muα = (E/c, p). Electromagnetism. 4-vector current density Jα = (, J).
W 4/11  Gaussian units. 4-vector potential Aα = (Φ, A). Electromagnetic field tensor(s).
F 4/13  Transformation of electromagnetic field. Manifestly covariant Maxwell equations, Lorentz force.
M 4/16  Lorentz boosted Coulomb field of point charge. Potentials of a moving charge.
W 4/18  Fields of moving charge. Another transformed Coulomb field. Larmor radiation.
F 4/20  Linac, synchrotron. Relativistic angular distributions.
M 4/23  Thomson scattering. Eddington luminosity. Action formulation of field theories.
W 4/25  Last day of class. Lagrangian for electromagnetism. Symmetries and conserved currents, Nöther's theorem. Broken symmetry. Gauge symmetry.
Th 5/3 Final Exam, 7:30–9:30am (Exam Period 3A)