Dr. David Dobson Department of Mathematics, Texas A&M University
Title:
Modeling and optimal design of periodic optical
structures
Time:
3:00pm, Wednesday, January 29, 1997
Place:
503 Blocker
Abstract:
This talk will be an overview of some computational and
mathematical issues in the design of two types of periodic
micro-optical structures: blazed diffraction gratings and photonic
crystals. For the case of diffraction gratings, finite element
methods and a simple preconditioning strategy will be discussed,
along with approaches to solve the nonsmooth shape design problem.
For photonic crystals we briefly outline the application of the
preconditioned subspace iteration method of Bramble, Knyazev, and
Pasciak for calculating energy gap structures of photonic crystals,
and an approach for solving an associated problem of optimal
design.