Nonlinear Optics in Photonic Micro and Nanostructures

光子微纳米结构中的非线性光学

• 批准号: 0505618
• 负责人: Alejandro Aceves
• 金额: --
• 依托单位: University of New Mexico
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-07-01 至 2009-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0505618&HistoricalAwards=false
• 关键词: Nonlinear; Optics; Photonic; Micro; Nanostructures

This project deals with the mathematical and computational modeling oflight as it propagates in photonic micro and nanostructures. In one example,a new and improved model will be proposed and used to describe novel opticalpulse propagation in photonic crystal fibers such as the recently observed phenomena of supercontinuum generation which cannot be well understood with the existing slowly varying envelope approximation. A second component of this project studies light localization and steering in optical fiber arrays and in particular the role imperfections in the manufacturing of such devices have in enhancing or suppressing light localization. The model considered here is a set of coupled stochastic differential equations. Finally, we will begin to address the question of which optical phenomena that has been observed in micro-devices can also happen in the nano-devices. In all instances, the mathematical and computational outcomes will be presented to and compared with leading experimentalist efforts.This research effort is of interdisciplinary nature and the use of mathematical modeling will help improve performance of optical devicesused in medical applications such as coherent tomography and in advanced fiberlasers aimed at producing powers in the multi-kilowatt regime. State of the art lasers based on the model studied here, will likely prove to be relevant for homeland security. This project will support the advancement of two women (a PhD student and a junior faculty) in their careers as Applied Mathematics professionals.

这个项目涉及光在光子微结构和纳米结构中传播的数学和计算模型。在一个例子中，将提出一个新的和改进的模型，并用于描述新的opticalpulse在光子晶体光纤中的传播，如最近观察到的现象，超连续谱的产生，不能很好地理解与现有的缓慢变化的包络近似。该项目的第二部分研究光纤阵列中的光定位和转向，特别是制造此类设备时的缺陷在增强或抑制光定位方面的作用。这里考虑的模型是一组耦合的随机微分方程。最后，我们将开始讨论在微器件中观察到的光学现象在纳米器件中也会发生的问题。在所有情况下，数学和计算结果将被提交给领先的实验主义者的努力，并与之进行比较。这项研究工作是跨学科的性质和数学建模的使用将有助于提高光学设备的性能用于医疗应用，如相干断层扫描和先进的光纤激光器，旨在产生功率在几千瓦政权。基于这里研究的模型的最先进的激光器可能会被证明与国土安全有关。该项目将支持两名妇女（一名博士生和一名初级教师）作为应用数学专业人员的职业发展。