Modeling and Optimal Design of Micro-Optical Structures
Abstract
New methods for optimizing band structure in photonic crystals with arbitrary material configurations were developed. The methods make use of large-scale nondifferentiable optimization techniques and rely on efficient finite element solvers for computing band structures. New photonic bandgap structures with large gaps were found. New finite element methods for computing band structures in two- and three-dimensional photonic crystals were developed. These methods are specifically formulated to handle discontinuous media. A complete convergence analysis was carried out. The methods are made efficient by combining subspace iteration techniques with fast Fourier transform preconditioners. Analysis of a three-dimensional diffraction grating problem and of natural reflectivity constraints in rapidly oscillating dielectric gratings was carried out, providing improved understanding of diffraction gratings and their properties.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 31, 2000
- Accession Number
- ADA384752
Entities
People
- David C. Dobson
Organizations
- Texas A&M University