PHY641 - Spring 2011
Advanced Electromagnetic Theory I
221 Physics Building, 3-9115,
List of Topics
The following list is subject to change. Typically, the material in the first seven chapters of Jackson's Classical Electrodynamcis is covered.
- Comments on Maxwell's equations. Review of mathematical methods: vector calculus.
- Electrostatics. Coulomb's and Poisson's laws. Electric field, path independence
and the potential. Multipole expansions. Gauss's law. Green's identities. Energy in a electrostatic field.
- Solutions of boundary-value problems in electrostatics: uniqueness theorems, method
of images and examples of its application, Poisson's equation, separation of variables. Review of mathematical methods: expansion in eigenfunctions. Legendre polynomials, spherical harmonics and Bessel functions and related generating functions. Application of method of expansion in eigenfunctions to electrostatics: Green's function method of solution of boundary-value problems in different boundary geometries (planar, cylindrical, spherical).
- Electrostatics in a dielectric medium. Susceptibility and molecular properties. Boundary-value problems in a dielectric medium. Applications. Energy in a dielectric medium.
- Magnetostatics. Biot-Savart law, B-field, the vector potential. Multiple expansion. Interaction of currents with external fields. Faraday's law. Boundary-value problems in magnetic media. Energy in magnetic fields.
- Time-varying fields and Maxwell's equations. Coulomb and Lorentz gauges. Energy, Poynting vector.
- Electromagnetic waves: propagation, generation and detection of waves. Polarization. Waves at boundaries. Propagation of waves and wave-packets in a dispersive medium.
- Additional topics, such as relativistic formulation of Maxwell's equations, optical fibers, magnetohydrodynamics etc., will be covered depending on time and interest.
This course uses Blackboard Information Technology. Important communications, homework assignments and schedule changes are to be found there.
Tuesday May 3rd is the last class. The final exam is on May 6, from 5:15 pm to 7:15 pm
This page was last updated January 10, 2011.