This lecture introduces the math underlying periodic structures and then discusses electromagnetic waves inside periodic structures.

Prerequisite Topics: Electromagnetics and "Computational Electromagnetics"

1. Preliminary topics in EM
2. Lorentz and Drude models
3. Nonlinear and anisotropic materials
4. Transmission lines in anisotropic media
5. Coupled-mode theory
6. Coupled-mode devices
7. Theory of periodic structures
8. Calculation examples of periodic structures
9. Diffraction gratings
10. Subwavelength gratings
11. Guided-mode resonance
12. Introduction to engineered materials
13. Metamaterials
14. Photonic crystals (band gap materials)
15. Homogenization and parameter retrieval
16. Transformation Electromagnetics
17. Holographic lithography
18. Synthesis of spatially variant lattices
19. Interfacing MATLAB with CAD
20. Frequency selective surfaces
21. Surface waves
22. Slow waves

This course by Dr. Raymond C. Rumpf is intended to teach students about electromagnetic devices and how they may look and operate in coming decades. Special attention will be paid to periodic structures, metamaterials, and structures fabricated by 3D printing.
Devices will be designed and analyzed using tools developed during the prerequisite course “Computational Electromagnetics” as well as some new tools developed in this course.