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

这个项目涉及非均匀和随机介质中波传播模型的开发。 这项工作旨在：（i）推进多模和强散射理论，重点是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乱环境中使用非相干波进行成像，集中于直接应用时间反演不起作用的情况，但是可以应用使用波场相关性的相关技术。 许多重要的物理现象都涉及通过异质介质传播的波，例如海洋中的声波，地壳中的地震波，通过大气传播的电磁波，或探测人体的超声波。 很好地理解波如何与异质性相互作用在无线通信、医学成像、反射地震学、遥感、大气激光束传播、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至关重要。 许多，如果不是大多数，上述应用程序没有充分利用随机介质中的波的数学描述，部分原因是这种描述的复杂性。 然而，现代技术，如“时间反转”已经表明，介质的异质性可以提高性能。 该提案的总体目标是进一步理论的波在杂波，杂波建模为随机介质，并显示如何准确描述非相干波可以导致新的或增强的技术。

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.