U.S.-France Cooperative Research: Modeling and Optimal Design in Micro-Optics

9815798Bao 这项为期三年的美法应用数学合作研究奖涉及佛罗里达大学的包刚、William Hager 和 Shari Moskow 以及巴黎综合理工学院的 H. Ammari 和 J.C. Nedelec。 研究人员建议研究数学问题并开发计算方法来解决微衍射光学建模和设计中的问题。 微衍射光学是一项基本的新兴技术，其中光学器件被微机械加工成具有非常小的结构特征。 衍射光学结构具有传统光学器件无法实现的功能。 在开发这些数学模型时，研究人员将尝试准确描述复杂结构的衍射；计算电磁矢量场；并预测线性和非线性光学介质中给定衍射结构的性能。 这些模型可以实现新光学结构的优化设计。美国研究人员为此次合作带来了微衍射光学应用数学方面的专业知识。 法国在理论方面的专业知识及其在波传播方面的计算工作与美国的努力相辅相成。 该项目将增进对应用于光学的数学模型和分析的理解，并可能促进电信和信息技术领域新型光学设备的开发。

9815798BaoThis three-year award for US-France cooperative research in applied mathematics involves Gang Bao, William Hager and Shari Moskow of the University of Florida and H. Ammari and J.C. Nedelec of the Ecole Polytechnique. The investigators propose to examine mathematical issues and develop computational methods for solving problems in modeling and design of micro diffractive optics. Micro diffractive optics is a fundamental, emerging technology in which optical devices are micromachined with very small structural features. Diffractive optical structures perform functions unattainable with conventional optics. In developing these mathematical models, the investigators will attempt to describe accurately the diffraction of complicated structures; to compute the electromagnetic vector fields; and to predict the performance of a given diffractive structure in linear and nonlinear optical media. The models may enable optimal design of new optical structures.The US investigators bring to this collaboration expertise in the applied mathematical aspects of micro diffractive optics. French expertise in theory and their computational work in wave propagation complement the US effort. The project will advance understanding of mathematical models and analysis as applied to optics and may lead to the development of new optical devices for the telecommunication and information technology sectors.