Statistics of Electromagnetic Propagation and Localization

电磁传播和定位统计

• 批准号: 9973959
• 负责人: Azriel Genack
• 金额: $ 25.83万
• 依托单位: CUNY Queens College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-11-15 至 2002-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9973959&HistoricalAwards=false
• 关键词: Statistics; Electromagnetic; Propagation; Localization

9973959GenackThis project will provide a detailed examination of the statistics of electromagnetic propagation in random media. Because of the strong analogy between quantum mechanical and classical transport, these studies will address fundamental issues of electronic transport in the context of photonics. Microwave measurements made with high spectral and spatial resolution in ensembles of statistically equivalent samples will be used to chart both the static and dynamic aspects of transport in the transition from diffusive propagation to localization. Samples will include low-density mixtures of dielectric spheres with various degrees of translational order, and metallic and dielectric periodic structures with various concentrations of scatterers floated in the sample. Only a statistical description is adequate to capture the essence of wave propagation in the presence of disorder. This research will provide a universal description of wave propagation in terms of the closeness to the localization transition. In the absence of inelastic processes, this can be specified by a single parameter - the ensemble average of the dimensionless conductance. Measurements of the probability distribution of microwave intensity, total transmission, and conductance will bridge the gap between the statistics of classical waves and electronic mesoscopic physics. The relationship between the moments of these distributions and the connection between the statistics of local and averaged quantities will be examined. The dynamics of diffusing waves will be extended to localized waves and their connection to intensity statistics will be explored together with the correlation between delay time and transmitted intensity for localized states. Transport will be studied in samples that display sharp line spectra associated with resonances with localized states to unify mesoscopic physics and statistical optics, which will enlarge the range of phenomena studied in these disciplines.%%%Electronic, electromagnetic and acoustic propagation in the presence of disorder are related fundamental problems with wide ranging applications in electronics, imaging, communication and photonics. The statistical analysis of electromagnetic propagation using diagnostic tools that are not available in the study of electronic insulators and conductors will be used. This project will thereby shed light on the connection between microscopic and global aspects of conductance and wave propagation. The distributions of static transmission quantities, such as intensity, total transmission and conductance, as well as dynamic quantities, such as the dwell time of energy in the sample will be obtained for diffusing and for localized waves. The nature of waves, which are strongly trapped inside nearly periodic samples, will be studies and their use in photonic devices will be elucidated. The high school, undergraduate, and graduate students as well as the postdoctoral fellows who will be involved in this research will receive training in fundamental problems, which are of importance in photonics, microwave cellular phone communication, and imaging.

9973959 Genack该项目将提供随机介质中电磁传播统计的详细检查。由于量子力学和经典输运之间的强烈相似性，这些研究将在光子学的背景下解决电子输运的基本问题。在统计上等同的样品集合中以高光谱和空间分辨率进行的微波测量将用于绘制从扩散传播到局部化过渡中的静态和动态运输方面。样品将包括低密度混合物的介电球体与各种程度的平移秩序，和金属和介电周期性结构与各种浓度的散射体漂浮在样品中。只有统计描述才足以捕捉无序情况下波传播的本质。这项研究将提供一个通用的描述波传播的接近本地化过渡。在没有非弹性过程的情况下，这可以由一个单一的参数来指定-无量纲电导的系综平均。测量微波强度、总透射率和电导率的概率分布将弥合经典波统计与电子介观物理之间的差距。这些分布的矩之间的关系和本地和平均数量的统计之间的连接将被检查。扩散波的动力学将被扩展到本地化波和它们的连接强度统计将被探索与本地化状态的延迟时间和传输强度之间的相关性。输运将在显示与局域态共振相关的尖锐线光谱的样品中进行研究，以统一介观物理学和统计光学，这将扩大这些学科中研究的现象范围。无序条件下的电子、电磁和声传播是电子学、成像学、通信学和光子学中广泛应用的基本问题。将使用在电子绝缘体和导体研究中不可用的诊断工具对电磁传播进行统计分析。因此，该项目将阐明电导和波传播的微观和全球方面之间的联系。静态传输量的分布，如强度，总的传输和电导，以及动态量，如在样品中的能量的停留时间，将获得扩散和局部波。波的性质，这是强烈地被困在近周期性的样品，将被研究和它们在光子器件中的使用将得到阐明。高中，本科和研究生以及博士后研究员谁将参与这项研究将接受培训的基本问题，这是在光子学，微波蜂窝电话通信和成像的重要性。