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 u^{α} = dx^{α}/dτ = (γc, γv), 4-acceleration a^{α} = du^{α}/dτ. Constant proper acceleration, amusing numbers |
M 4/9 | Relativistic velocity addition. Energy-momentum 4-vector p^{α} = mu^{α} = (E/c, p). Electromagnetism. 4-vector current density J^{α} = (cρ, J). |
W 4/11 | Gaussian units. 4-vector potential A^{α} = (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) |