Back to Departmental Colloquium: Fall 2000
Departmental Colloquium
Date: Tuesday, Nov 14, 2000
Time: 4:15PM
Location: JWB 335
David Dobson
Texas A&M
Title |
Maximizing band gaps in periodic dielectric structures |
Abstract |
Crystalline microstructures made from high-contrast dielectric materials have the interesting property that for certain material arrangements, the frequency spectrum for electromagnetic wave propagation admits a complete band gap. Such structures are relatively new and are expected to have a large impact in optoelectronics. We consider the problem of determining material arrangements which result in maximal band gaps. This can be formulated as an extremization problem, which turns out to have a nonsmooth but Lipschitz continuous objective. Well-posedness of the problem is studied, and a generalized gradient ascent maximization algorithm is proposed. Computational experiments are presented in which several novel structures with large band gaps are obtained. |
Mathematical Biology
Computational Mathematics
Applied Mathematics