Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/22123
Title: Optimal Design of Photonic Crystals
Authors: MEN HAN
Keywords: bandgap, convex optimization, photonic crystals, design
Issue Date: 13-Dec-2010
Source: MEN HAN (2010-12-13). Optimal Design of Photonic Crystals. ScholarBank@NUS Repository.
Abstract: The present work considers the optimal design of photonic crystals. Convex optimization is formally used for the purpose of designing photonic crystal devices with desired eigenband structures. In particular, two-dimensional crystal structures with optimal band gap and three-dimensional fiber with optimal band width. The original infinite-dimensional eigenvalue problem is discretized using the finite element method into a series of finite-dimensional eigenvalue problems for appropriate values of the wave vector parameter. By restricting to appropriate sub-eigenspaces, and employing mesh adaptivity, we reduce the large-scale non-convex optimization problem via reparametrization to a sequence of small-scale convex semidefinite programs (SDPs) for which modern SDP solvers can be efficiently applied. The optimized structures exhibit patterns which go far beyond typical physical intuition on periodic media design.
URI: http://scholarbank.nus.edu.sg/handle/10635/22123
Appears in Collections:Ph.D Theses (Open)

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