TITLE: Parameters Auto-Tuning in Three Dimensional Photonic Crystal
Simulations

SPEAKER: Professor Weichung Wang

ABSTRACT:

Numerical simulations of three-dimensional photonic crystals
have gathered great importance in the investigations of their physical
properties and real world applications. A main purpose of the
simulations is to predict particular lattice structures to achieve
maximal bandgaps. This target is a challenge as the computations are
highly time-consuming and many tuning parameters are involved. These
tuning parameters include structure parameters in the photonics
crystal lattices and algorithmic performance parameters in the
eigenvalue solvers. To identify the optimal lattice structures and the
optimal algorithm combinations, we use several statistical tools to
model the unknown response functions of the tuning parameters. Tools
arising in design and analysis of computer experiments will be
discussed to show the details of the schemes. Promising numerical
results will also be presented to justify the proposed schemes.