Photonic crystals are arrangements of two or more dielectric media, periodic along one, two, or three dimensions. This is depicted schematically here by "red" and "yellow" materials arranged in simple 1d/2d/3d lattices from left to right. (Image by Prof. Johnson.)
This course covers algebraic approaches to electromagnetism and nano-photonics. Topics include photonic crystals, waveguides, perturbation theory, diffraction, computational methods, applications to integrated optical devices, and fiber-optic systems. Emphasis is placed on abstract algebraic approaches rather than detailed solutions of partial differential equations, the latter being done by computers.