ENEE 681: Electromagnetic Theory II

Course Goals:

The development of advanced analysis techniques for time-varying electric and magnetic fields. The wave equation is analyzed for plane waves, guided waves, and resonators (including lossy wall and dielectric systems). The inhomogeneous wave equation is analyzed for radiation sources, and basic antenna configurations are studied. The motion of charged particles and the radiation produced is addressed. The EM fields in a conducting media are developed.

Course Prerequisite:

ENEE 381 or equivalent.

References:

1. J.D. Jackson, Classical Electrodynamics, 2nd Ed., Wiley (1975).
2. W.H.K. Panofsky and M. Phillips, Classical Electricity and Magnetism, 2nd Ed., Addison Wesley (1962).
3. S. Ramo, J.R. Whinnery, and T. van Duzer, Fields and Waves in Communication Electronics, 2nd Ed., Wiley (1984).

Core Topics:

• Maxwell's Equations: time-dependent potentials, gauge conditions, conservation laws, electromagnetic stress tensor. - 1 week
• Plane Electromagnetic Waves and Wave Propagation: plane waves in dielectrics, polarization, reflection and refraction, plane waves in conducting media, superposition, dispersion, group velocity. - 2 weeks
• Guiding of Electromagnetic Waves: transmission lines, hollow guides, finite conductivity walls, microwave and optical cavities, dielectric waveguides and optical fibers. - 3 weeks
• Radiation Sources: Green's functions for the inhomogeneous wave equation, multipole expansion, dipole and quadrupole radiation, antennas. - 2 weeks
• Magnetohydrodynamics. - 2 weeks
• Radiation by Moving Charges: Lienard-Wiechert potentials, power radiated by relativistic and non-relativistic accelerating charges, Cherenkov radiation. - 1 week

Optional Topics:

• Kramers-Kronig relations.
• Radiation scattering from single scatterers and a collection of scatterers.
• Free-electron lasers.
• Special Relativity: Lorentz transformation, 4-vectors, covariance of electrodynamics.

Last Updated:

April 1993, H. Milchberg, W. Lawson, and C.D. Striffler