ENEE 680: Electromagnetic Theory I

Course Goals:

Mathematical techniques are developed for solving one-, two-, and three-dimensional electrostatic and magnetostatic problems with and without boundaries. Examples are solved in detail for all cases.

Course Prerequisite:

ENEE 381 or equivalent. An undergraduate course in Electromagnetics at the junior or senior level.

Topic Prerequisite:

The student should have a good mathematical background in vector calculus, product solution of second order differential equations, and complex variables. The electromagnetic course requirements above implies knowledge of Maxwells equations and the ability to solve simple standard static problems.

References:

  1. Course Text: W.K.H. Panofsky and M. Phillips, Classical Electricity and Magnetism, Addison-Wesley Publishing Company, Second Edition, 1962, Chapters 1-10.
  2. J.D. Jackson, Classical Electrodynamics, John Wiley and Sons, Second Edition, 1975, Chapters 1-6. in Communication Electronics, John Wiley and Sons, Second Edition, 1984, Chapter 7.
  3. J.A. Stratton, Electromagnetic Theory, McGraw-Hill Book Co., 1941, Chapter 2.
  4. W.R. Smythe, Static and Dynamic Electricity, Hemisphere Publishing Corp., Third Edition, Revised Printing, 1989, Chapters I-IX.

Core Topics:

  • General potential formalism of fields with a finite divergence and curl - multipole expansion. - 1.5 weeks with boundaries - Green's function, method of images, method of separation of variables, conformal mapping. - 3.5 weeks.
  • Two- and three-dimensional scalar potential problems - Bessel Functions, with and without boundaries - Examples in Magnetostatics - 2 1/2 weeks.
  • General discussion, development of time-varying Maxwell Equations - Energy and Force Relations, Maxwell Stress Tensor. - 1 week.

Optional Topics:

  • Examples of Poisson Equation Solutions - Space Charged Limited Flow, Semi-Conductor Transition Region, ....
  • Numerous examples under each core topic can be added from the references, e.g., conformal mapping examples.

Last Updated:

April 15, 1993, Charles D. Striffler