Multiscale Modeling and Computation of Nano-Optics
Multiscale Modeling and Computation of Nano-Optics
The interdisciplinary FRG team is developing mathematical techniques and computational methods for the light-matter interactions for nanoscale structures motivated by recent scientific and industrial applications. Critical issues on multi-physical modeling, multi-scale simulations as well as mathematical analysis of the coupled Maxwell and Schrodinger equations is being investigated. Our proposed mathematical modeling techniques and computational methods will address key scientific challenges in applied mathematics including multi-physics modeling, multi-scale computation, density functional theory, efficient numerical solution of Maxwell's equations, and well-posedness of the associated new nonlinear PDE models.