This engineering course is an introduction to photonic materials and devices structured on the wavelength scale. Generally, these systems will be characterized as having critical dimensions at the nanometer scale. These can include nanophotonic, plasmonic, and metamaterial components and systems.
This course may be useful for advanced undergraduates with the prerequisites listed below; graduate students interested in incorporating these techniques into their thesis research; and practicing scientists and engineers developing new experiments or products based on these ideas.
Module 1: Photonic bandstructures
How to determine the relationship between photon frequency and momentum in periodic structures; the origins of photonic bandgaps; and basic applications.
Module 2: Transfer matrices
Development of a set of techniques for rapidly calculating performance of multilayer optical structures, in ray or wave optics approximations, with or without periodicity. Some applications will be discussed.
Module 3: Time-domain simulations
Introduction to direct simulation of Maxwell’s equations across time and space; use of the Yee lattice and the leapfrog integration method; plus advanced applications.
Module 4: Finite-element methods
Discussion of the advantage of finite element methods versus finite-difference; development of the Galerkin method; application examples for multi-scale problems.
Peter Bermel and Haejun Chung