NSF-BSF: Global Correlation in complex structures

NSF-BSF：复杂结构中的全局相关性

• 批准号: 2211646
• 负责人: Azriel Genack
• 金额: $ 50.33万
• 依托单位: CUNY Queens College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-08-01 至 2025-07-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2211646&HistoricalAwards=false
• 关键词: NSF; BSF; Global; Correlation; complex

Non-technical Abstract:Material disorder is pervasive in natural and fabricated materials. It is therefore important to understand the impact of disorder on the flow of different types of waves in diverse fields of endeavor including electronics, telecommunications, environmental sensing, bio-medical imaging, and resource exploration. The research team seeks to discover common principles governing the flow of waves in disordered materials based on wave scattering in the entirety of a material. This research program explores how to create a state in which transmission vanishes and transmission becomes extremely sensitive to changes in a material. The research team also explores extreme scattering of microwave radiation in samples with metallic elements, which may open up new approaches to the extreme trapping of waves. The feasibility of harnessing the transmission of microwave radiation in scattering media for information processing are explored in experiments and theoretical analysis. The diverse research projects provide high school, undergraduate and graduate students the opportunity to engage with theory, simulations, statistical analysis, and experiments of the flow of waves as part of an international team tackling problems of intense fundamental and applied interest. Technical Summary:The research team carries out linked experimental, computational and theoretical studies of fundamental aspects of global correlation of waves in disordered systems with potential applications in excitation engineering, optical computation, imaging, and sensing. Many of the most intriguing, challenging, and potentially useful aspects of waves in complex systems arise from global correlation of the field. Such correlation governs the statistics of the transmission matrix which links the incident and outgoing fields. The research team explores the singularities of the transmission matrix, which are the resonances of the medium and the transmission zeros. This research (1) studies the evolution of transmission zeros in the complex frequency plane as samples are changed, (2) explores the correlation of the axial velocity of transmission eigenchannels across random samples and its impact upon the energy excited within random systems, (3) investigates the characteristics and source of the vanishing of the density of states within certain random systems, (4) explores the nature of propagation in systems with metallic elements, (5) investigates dimensionality reduction in random mappings via the transmission matrix of scattering samples, and, (6) explores random projections of microwave radiation propagating through scattering media in the context of transmission eigenchannels.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

非技术摘要：材料无序在天然材料和人造材料中普遍存在。因此，了解无序对电子、电信、环境传感、生物医学成像和资源勘探等不同领域中不同类型波流的影响非常重要。研究小组致力于基于整个材料中的波散射来发现控制无序材料中波流的共同原理。该研究项目探索如何创建一种透射消失且透射对材料变化极其敏感的状态。研究小组还探索了含有金属元素的样品中微波辐射的极端散射，这可能为极端捕获波开辟新的方法。通过实验和理论分析探讨了利用散射介质中微波辐射传输进行信息处理的可行性。多样化的研究项目为高中生、本科生和研究生提供了参与波流理论、模拟、统计分析和实验的机会，作为国际团队的一部分，解决具有强烈基础和应用兴趣的问题。技术摘要：研究团队对无序系统中波的全局相关性的基本方面进行了实验、计算和理论研究，并在激发工程、光学计算、成像和传感方面具有潜在的应用。复杂系统中波的许多最有趣、最具挑战性和潜在有用的方面都源于场的全局相关性。这种相关性控制着连接入射场和出射场的传输矩阵的统计数据。研究团队探索了传输矩阵的奇点，即介质的谐振和传输零点。这项研究（1）研究随着样本变化，复杂频率平面中传输零点的演变，（2）探索随机样本传输本征通道的轴向速度的相关性及其对随机系统内激发的能量的影响，（3）研究某些随机系统内状态密度消失的特征和来源，（4）探索具有金属元素的系统中的传播性质，（5）研究维度 通过散射样本的传输矩阵减少随机映射，(6) 探索在传输本征通道的背景下通过散射介质传播的微波辐射的随机投影。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力优点和更广泛的影响审查标准进行评估，被认为值得支持。