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Topology Optimization, Fabrication Adaptivity, and Model-Data Assimilation of Novel Photonic Materials

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Technical Report,01 Aug 2015,31 Dec 2018

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Massachusetts Institute of Technology Cambridge United States

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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.

Subject Categories:

  • Radiofrequency Wave Propagation
  • Operations Research

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