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ECEN 5144

ECEN 5144 - Electromagnetic Boundary Problems

3 credit hours

Catalog Description: This course covers mathematical theories and physical concepts related to Maxwell's equations and treats potential representations, scalar and vector Green's functions, eigenfunction expansions, Green's theorem, reciprocity, equivalence principle, and image theorem, etc. The second part involves applications such as radiation from apertures in cylindrical surfaces, scattering by cylinders and wedges, and dipole radiation over a half-space, based upon differential equations. Also examined is the formulation of the same kinds of problems using integral equations. The course concludes with brief introduction to approximate (perturbational and numerical) methods.

Prerequisites: ECEN 3410, Waveguides and Transmission Lines, or ECEN 5134, Electromagnetic Radiation and Antennas

Textbook: Class notes.

Goals: This course provides the mathematical and physical fundamentals necessary for the systematic analysis of electromagnetic fields problems. It requires some maturity in electromagnetics, such as the material in ECEN 5114 or ECEN 5134.

Topics:

  1. Potential representations.
  2. Uniqueness, equivalence, reciprocity, images and radiation conditions.
  3. Radiation from simple sources; alternate representations.
  4. Plane aperture and Gaussian beam radiation.
  5. Dipole radiation over a half-space.
  6. Radiation and scattering from cylinders.
  7. Diffraction from a conducting wedge.
  8. Green's theorems and Green's function.
  9. Integral equations for conductor scattering, aperture scattering, and thin antennas.
  10. Perturbation and variational methods.
Computer Usage:
  1. None.
Laboratory Projects:
  1. None.
ABET Category Content:
  • Engineering Science: 1 credit or 33%
  • Engineering Design: 0 credits or 0%
  • Mathematics and Basic Science: 2 credits or 67%