Topology Optimization, Fabrication Adaptivity, and Model-Data Assimilation of Novel Photonic Materials
Abstract
Novel materials such as photonic crystals, nanoplasmonics, and metamaterials are engineered to interact with and control electromagnetic waves in ways that cannot be achieved with conventional materials. Such materials are very important in many optical devices including waveguides, fibers, lasers, optical lenses, cancer theranostics, biological and chemical sensing, energy harvesting, etc. Fundamental challenges abound about the design and fabrication of these materials. The issue of fabrication adaptivity (adapting a computed design to actual fabrication) is particularly important in practical applications. We have developed effective systematic numerical methods and tools for the optimal design of photonic materials with particular emphasis on novel applications which are of direct interest to the Air Force. We have worked on three research fronts: (1) robust, efficient and accurate numerical methods for solving acoustic and electromagnetic wave equations in realistic geometries, (2) Gaussian functional regression methods for quantifying uncertainties in the mathematical models, and (3) efficient and robust "accelerated" first-order methods for solving large-scale PDE-constrained optimization problems arising from mathematical formulations of the design problem.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 24, 2019
- Accession Number
- AD1085941
Entities
People
- Jaime Peraire
- Ngoc Cuong Nguyen
- Robert Freund
Organizations
- Massachusetts Institute of Technology