This course comprises PhD-level material covering exact and asymptotic analytical techniques for the solution of advanced electromagnetic problems involving wave propagation and scattering by finite and extended media inhomogenieties.
The application of advanced computing techniques and fast desktop computers to the solution of highly complex wave propagation and scattering problems relating to the design of radar, communication systems, and remote sensors is rapidly increasing. As the computer codes become more sophisticated and the problems more complicated, there is an increasing need to be able to understand and use analytical and asymptotic results as checks on the computer results. Student must not only be aware of these alternative results but they must appreciate their capabilities and limitations.
A thorough understanding of Maxwellâ€™s equations, boundary conditions, radiation, and electromagnetic theorems dealing with equivalent boundary value problems, as covered in 5106, is essential background for this course.
Percentage of Course
|Review of Fundamental EM Theorems||5%|
|General Solution Approaches||15%|
|Approximate Analytical Solution Techniques||3.|
|Rayleigh and Perturbation Methods||5%|
|Spectral Approach via Weyl Representation|
|Rayleigh-Gans Approximation for Penetrable Bodies||10%|
|Geometric Optics Asymptotes||20%|
|Ray Propagation and Conservation of Energy|
|Stationary Phase Approximation|
|Fock (Smooth Surface Diffraction)|
|Geometrical Theory of Diffraction (Keller)|
|Physical Theory of Diffraction (Ufimstev)|
|Infinite Periodic Surfaces and Reactive Surfaces||10%|
|Floquet’s theorem and Consequences|
|Dipole Over a Lossy Earth|
|Types of waves|
|Surface Waves (Zenneck & Norton)|
|Techniques (Classical vs. Modern)|