ECE 521
Analytical Foundations of Electromagnetic Theory

Subject Area Electromagnetics, Optics and Remote Sensing
Course Prerequisites
Course Directors Andreas C Cangellaris
Detailed Description and Outline


  • Mathematical foundations: Introduction; linear space; inner product space; normed linear space; Hilbert space; best approximation; operators in Hilbert space; principles of method of moments
  • Fundamental theorems and concepts: The source concept; duality; uniqueness; image theory; equivalence principle; fields in half-space; induction theorem, reciprocity, Greenís functions; tensor Greenís functions; integral equations; construction of solutions; radiation field
  • Plane wave functions: Introduction to plane wave functions and plane wave spectral representation; apertures in ground planes; plane current sheets; inversion problems
  • Cylindrical wave functions: Cylindrical wave functions; sources of cylindrical wave functions; two-dimensional radiation; cylindrical wave transformation; scattering by cylinders; scattering by wedges; three-dimensional radiation; apertures in cylinders; apertures in wedges; spherical wave functions; space as a waveguide; other radial waveguides; other resonators; sources of spherical waves; wave transformations; scattering by spheres; dipole and conducting sphere; apertures in spheres; fields external to cones; maximum antenna gain
  • Variational techniques: Introduction; Ritz procedure; reaction concept; stationary formulas for waveguides; stationary formulas for impedance; stationary formulas for scattering; scattering by dielectric obstacles; and transmission through apertures
Supplemental Text: C. Balanis, Advanced Engineering Electromagnetics, John Wiley & Sons
Last updated: 2/13/2013