Optimizing Photonic Crystal Structures via Surrogate Modelling
Date Issued
2010
Date
2010
Author(s)
Wang, Chen-Chien
Abstract
Finding the best configuration of photonic crystals, which has maximum bandgapmidgap ratio is a time consuming process. The bandgap structures can be described as Maxwell’s equations, involving solving eigenvalue problems of large matrices.
In this article, we focus on maximizing the bandgap structure of simple cubic photonic crystals. The problem is a two stage optimization problem. For one fixed sphere radius and cylindar radius configuration, we need to find 5th and the 6th eigenvalues along one specific path and the bandgap between them. Next, vary the radii, and find the overall maximum bandgap-midgap ratio. Traditional methods such as genetic algorithm does not work properly due to massive function evaluations.
We use surrogate modelling method, in particular, the Kriging method to deal
with this problem. We use just a few samples to build a model to mimic the behavior of the unknown bandgap function, and then using expected improvement method to choose points may have true maximum. In our experiments, we get impressive results within fifty radii selecting.
Subjects
photonic crystal
surrogate modelling
bandgap
optimization
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-99-R97221044-1.pdf
Size
23.53 KB
Format
Adobe PDF
Checksum
(MD5):5528c60c098b5f2faa04ed5580dea9d1