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

9815798鲍这个为期三年的美法应用数学合作研究奖的获得者包括佛罗里达大学的鲍刚、威廉·哈格和沙里·莫斯科以及H. Ammari和J.C.巴黎综合理工学院的校长。 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。 微衍射光学是一种基本的新兴技术，其中光学器件被微加工成具有非常小的结构特征。 衍射光学结构执行传统光学无法实现的功能。 在开发这些数学模型时，研究人员将试图准确地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。 这些模型可以使新的光学结构的优化设计成为可能。美国研究人员为这次合作带来了微衍射光学应用数学方面的专业知识。 法国在理论上的专业知识和他们在波传播方面的计算工作补充了美国的努力。 该项目将促进对应用于光学的数学模型和分析的理解，并可能导致为电信和信息技术部门开发新的光学设备。

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.