Academics > Masters & Ph.D. > Qualifying Exam Syllabi

Electromagnetics

  1. Basic EM theory such as Maxwell's equations, boundary conditions, reciprocity theorem, image theorem, duality principle, and vector and scalar potentials.

  2. Plane waves in free space, topics to include phase velocity, characteristic impedance, polarization, poynting flux, wavelength, frequency relations.

  3. Greens functions (scalar). Ishimaru sections 5-1, 5-2, 5-4, 5-5, 5-6 (or Balanis Chapter 14). Be able to describe the application of greens function, as well as the steps used to create them. In particular, be able to demonstrate their literal construction for 1D problems. Solutions for both bounded and unbounded cases.

  4. Basic ideas of Moment Method. Ishimaru 18-1, 18-2, and many other references. Be able to describe the formulation of a Moment Method problem, describing the steps by which one approximates the solution of an integral equation by converting it to an equivalent matrix equation.

  5. Waves in layered structures and inhomogeneous media. Ishimaru 3-7, 3-13, 3-14

  6. Waveguides and cavities in both rectangular and circular geometry. TEM, TE and TM waves, eigenvalues and eigenfunctions, dispersion, velocities, and losses.

  7. Time- and frequency-domain analysis of transmission line phenomena. characteristic impedance; reflection coefficient; open, short and complex loads; standing waves; impedance transformation; quarter-wave and half-wave circuits; Smith Charts; loss on TL; applications of TL models and solutions.

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