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ECE Graduate Course Information
ECE 688 - Electromagnetic Boundary Value Problems
UA Catalog Description:
Projects: 5 topical projects
Typically: 15% Topical projects
25% Final Project.
The basic, canonical boundary value scattering problems such as the plane wave and elemental electric dipole excitations of semi-infinite slabs, infinite cylinders, infinite wedges, and spheres are extended to the next level of difficulty. These include multilayered slabs with defects, irises in waveguides, infinite slotted cylinders, holey spheres, and offset objects interior to one of the canonical cylinder or spherical shapes. Both frequency and time domain solutions are considered.
Graduate-level requirements include having taken the Advanced Electromagnetic Theory courses ECE 581a and 581b. Both analysis and MatLab modeling tools will be required to simulate the solutions of these more difficult problems. The results obtained from these tools will be compared to the fully numerical solutions generated by the ANSYS/ANSOFT HFSS finite element modeling tool.
Projects: Each project will be associated with the special topic problems considered in the lectures. They will emphasize analysis and understanding the physics associated with these classes of scattering and radiating problems. The Final Project, an advanced boundary value problem, will be defined by the student in consultation with the instructor.
1. Special functions for rectangular, cylindrical and spherical coordinates
2. Plane wave representations in each coordinate system
3. Electric dipole representations in each coordinate system
4. Spectral representations of Green’s functions
5. Riemann-Hilbert solutions
6. Asymptotic solutions
7. When does an analytical solution become numerical
8. Edge conditions
9. Radiation conditions
10. Dual series problems
11. Addition theorems for special functions
12. Multi-body scattering
Lecture: 150 minutes/week