Patterns, Stability, and Thermal Effects in Parametric Gain Devices

参数增益器件中的模式、稳定性和热效应

• 批准号: 0510002
• 负责人: Keith Promislow
• 金额: $ 6万
• 依托单位: Michigan State University
• 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 2008-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0510002&HistoricalAwards=false
• 关键词: Patterns; Stability; Thermal; Effects; Parametric

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.

在这个建议中概述的工作的目标是建立一个更完整的理解空间局域结构的四阶非线性参量增益器件，专注于这些结构的稳定性和动态的自加热介质。 拟议的工作范围包括发展一个数值模型，能够将多个时间和空间尺度的必要特征的影响，吸收诱导加热的参数增益介质，和分析更容易处理的模型方程，如参数驱动的非线性薛定谔方程耦合到一维或二维热方程。 其中最重要的是它适用于参量增益器件，如光学参量振荡器，用于将光场转换为远红外区的频率。 这种设备对于光谱应用非常重要，包括检测对环境有害的物质或化学武器，以及军事对抗措施，包括干扰基于红外的导弹制导系统。从更理论的角度来看，拟议的研究借鉴了最近取得重大进展的几个领域，包括多尺度模拟技术，严格的选择性坐标缩减，以及耗散方程中模式的动力学。