Modeling, Analysis, and Simulation of Photonic Microstructures

光子微结构的建模、分析和仿真

• 批准号: 0313890
• 负责人: Robert Kohn
• 金额: $ 32万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-09-01 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0313890&HistoricalAwards=false
• 关键词: Modeling; Analysis; Simulation; Photonic; Microstructures

Proposal: DMS-0313890 (GOALI)Academic PI: Robert V. Kohn, New York UniversityIndustrial Co-PI: Michael I. Weinstein, Lucent TechnologiesTitle: Modeling, Analysis, and Simulation of Photonic MicrostructuresABSTRACT *********** Use text below this line *******************Photonic microstructures are heterogeneous optical media. Technologically important examples include (a) photonic crystal fibers, and (b) periodic planar structures with defects; applications range from transmission media and devices in telecommunication systems to optical computers. The optical properties of such structures depend in complex ways on the details of the microstructure. At present, direct numerical simulation is the main tool for analyzing the performance of a photonic structure. This tool is inadequate, because while simulation can be applied to specific structures, it does not provide general principles to guide the design of better structures. The research between New York and Lucent Technologies will develop and analyze new, homogenization-based methods for understanding the characteristics of photonic structures. These methods will provide improved intuition about how a structure's geometry determines its overall optical properties (group velocity, dispersion, resonances, radiation rates, etc.) They will also lead to improved numerical schemes for computing the spectral properties of photonic structures.There is a large physics and engineering literature on photonic microstructures and their applications -- which include optical fibers and devices for use in data transmission and computing. The design and analysis of such structures relies mainly on intuition, experimentation, and computer simulation. The research between New York and Lucent Technologies will employ mathematical analysis to provide new sources of intuition and improved techniques for simulation -- leading, we hope, to the design of improved photonic microstructures and devices. This GOALI cooperative activitybetween New York University and Lucent Technologies will provide a postdoctoral researcher with valuable industrial experience.

提案：DMS-0313890（GOALI）学术PI：Robert V. Kohn，纽约大学工业联合PI：Michael I. Weinstein，Lucent Technologies题目：光子微结构的建模、分析和仿真摘要 *技术上重要的例子包括（a）光子晶体光纤，和（B）周期性平面结构的缺陷;应用范围从传输介质和电信系统中的设备，光学计算机。这种结构的光学性质以复杂的方式取决于微观结构的细节。目前，直接数值模拟是分析光子晶体结构性能的主要工具。 这种工具是不够的，因为虽然模拟可以应用于特定的结构，它没有提供一般原则来指导更好的结构的设计。纽约和朗讯科技之间的研究将开发和分析新的，基于均匀化的方法，以了解光子结构的特性。 这些方法将提供关于结构的几何形状如何决定其整体光学性质（群速度、色散、共振、辐射率等）的改进的直观性。它们也将导致改进的数值方案计算的光谱特性的光子结构。有大量的物理和工程文献的光子微结构及其应用-其中包括光纤和设备用于数据传输和计算。 这种结构的设计和分析主要依赖于直觉、实验和计算机模拟。纽约和朗讯科技公司之间的研究将采用数学分析来提供新的直觉来源和改进的模拟技术--我们希望，这将导致改进的光子微结构和器件的设计。此次纽约大学与朗讯科技的GOALI合作活动将为博士后研究人员提供宝贵的产业经验。