Modeling Photonic Crystal Devices by Dirichlet-to-neumann Maps
DescriptionPhotonic crystals (PhCs) are important artificial materials that can be used to control the flow of light. Efficient numerical methods are needed in the design of photonic crystal devices. For PhCs with a point defect, a line defect and other more complicated features, such as a bent waveguide, existing numerical methods are not very efficient. Based on the Dirichlet-to-Neumann (DtN) map of the unit cells, the researchers have previously developed an efficient method for computing band structures for infinite PhCs and transmission/reflection spectra for PhCs of finite size. In this project, the DtN map method will be extended to compute defect modes and waveguide modes, and to analyze light wave propagation in complicated PhC structures.
|Effective start/end date||1/07/07 → 8/09/10|