By Dr. Gang Bao
Department of Mathematics
Michigan State University
East Lansing, MI 488241027
bao@math.msu.edu
Diffractive optics is an emerging technology with many
practical applications. The significant applications
have driven the need for mathematical models and numerical
algorithms: to provide rigorous and accurate solutions of the full
electromagnetic vector
field equations for complicated grating structures, thus predicting
performance given the structure, and to carry out optimal design of new
structures. The former situation is often referred to as the direct
problem,
while the latter case is an example of the inverse problem.
This talk is concerned with recent mathematical developments on direct and inverse problems in the modeling of diffractive optics. For the direct problems, issues on model formulation, wellposedness of the models, and convergence analysis will be addressed. Concerning the inverse problems, the speaker will present recent results on uniqueness, stability, and reconstruction. Related ongoing research projects in diffractive optics and electromagnetics will also be discussed.

3rd Forum On Numerics & Modeling for
Partial Differential Equations