Collaborative Research: Patterns, Stability, and Thermal Effects in Parametric Gain Devices

协作研究：参数增益器件中的模式、稳定性和热效应

基本信息

批准号：
0511091
负责人：
Richard Moore
金额：
$ 9.99万
依托单位：
New Jersey Institute of Technology
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：
2005-07-15 至 2010-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0511091&HistoricalAwards=false
关键词：
Collaborative Research Patterns Stability Thermal

项目摘要

The goal of the work outlined in this proposal is to build a morecomplete understanding of spatially localized structures inquadratically nonlinear parametric gain devices, focusing on thestability and dynamics of these structures in a self-heatedmedium. The scope of the proposed work includes the developmentof a numerical model capable of incorporating the multipletemporal and spatial scales necessary to characterize the impactof absorption-induced heating of the parametric gain media, andanalysis of more tractable model equations such as theparametrically driven nonlinear Schroedinger equation coupled tothe one- or two-dimensional heat equation.This research is important for several reasons. The mostimmediate of these lies in its applicability to parametric gaindevices, such as optical parametric oscillators, used forconversion of optical fields to frequencies in the far-infraredregion. Such devices are very important for spectroscopicapplications, including the detection of environmentally harmfulagents or chemical weapons, and for military countermeasures,including jamming of infrared-based missile guidance systems.From a more theoretical standpoint, the proposed research drawsfrom several areas that have recently made significant advances inmaturity, including multiscale simulation techniques, rigorouscollective coordinate reductions, and the dynamics of patterns indissipative equations.

该提案中概述的工作的目的是建立对空间本地化结构的概念性理解，构成非线性参数增益设备，重点介绍自动化中元中这些结构的可疑性和动态。拟议工作的范围包括开发一个数值模型的开发，该模型能够结合表征吸收吸收诱导的参数增益介质加热的影响所必需的多阶段和空间量表，对更易触发的模型方程的加热，例如，诸如参数驱动的非线性驱动的非线性schroedinger方程的totheremeneare schroedinger方程是一个重要的方法，这是多个方程式的。这些中间体的最大含量在于它适用于参数增益驱动器（例如光学参数振荡器），用于将光场转换到远红外线中的频率。 Such devices are very important for spectroscopicapplications, including the detection of environmentally harmfulagents or chemical weapons, and for military countermeasures,including jamming of infrared-based missile guidance systems.From a more theoretical standpoint, the proposed research drawsfrom several areas that have recently made significant advances inmaturity, including multiscale simulation techniques, rigorouscollective coordinate reductions, and the dynamics of patterns分离方程。