AMC-SS: Propagation and Application of Waves in Complex Media

AMC-SS：波在复杂介质中的传播和应用

• 批准号: 0709389
• 负责人: Knut Solna
• 金额: $ 19万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-08-15 至 2011-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0709389&HistoricalAwards=false
• 关键词: AMC; SS; Propagation; Application; Waves

This project concerns development of models for wave propagation in heterogeneous and random media. The work aims to: (i) advance the theory of multimode and strong scattering with an emphasis on situations where the clutter does not satisfy a separation of scales assumption, in particular using the theory of rough paths; and (ii) apply this theory to the use of incoherent waves for imaging in a cluttered environment, focusing on situations where direct application of time reversal does not work, but where related techniques using wave field correlations can be applied. Many important physical phenomena involve waves propagating through heterogeneous media, such as sound waves in the ocean, seismic waves in the earth's crust, electromagnetic waves propagating through the atmosphere, or ultrasound probing the human body. A good understanding of how waves interact with the heterogeneity is crucial in applications like wireless communication, medical imaging, reflection seismology, remote sensing, atmospheric laser beam propagation, underwater communication, nondestructive testing, fiber optics, nano-technology, seismology, helioseismology, and astronomic imaging. Many, if not most, of the applications mentioned above do not fully exploit a mathematical description of waves in random media, partly because of the complexity of this description. Yet, modern techniques such as "time reversal" have shown that medium heterogeneity can improve performance. The general objective of the proposal is to further the theory for waves in clutter, the clutter modeled as a random medium, and show how an accurate description of incoherent waves can lead to new or enhanced technologies.

该项目涉及非均匀和随机介质中波传播模型的发展。这项工作的目的是：(I)发展多模和强散射理论，重点关注杂波不满足尺度分离假设的情况，特别是使用粗糙路径理论；以及(Ii)将该理论应用于在杂波环境中使用非相干波进行成像，重点关注直接应用时间反转不起作用，但可以使用波场相关的相关技术的情况。许多重要的物理现象涉及通过非均匀介质传播的波，例如海洋中的声波、地壳中的地震波、大气中传播的电磁波或探测人体的超声波。在无线通信、医学成像、反射地震学、遥感、大气激光传输、水下通信、无损检测、光纤、纳米技术、地震学、日震学和天文成像等应用中，很好地理解波与非均质性的相互作用是至关重要的。上述应用中的许多(如果不是大多数)没有完全利用随机介质中的波的数学描述，部分原因是该描述的复杂性。然而，诸如“时间反转”这样的现代技术已经表明，介质异构性可以提高性能。该提案的总体目标是进一步发展杂波理论，将杂波建模为随机介质，并展示对非相干波的准确描述如何导致新的或增强的技术。