U.S.-France Cooperative Research: Remote Characterization of Buried Objects Using Scattered Acoustic or Electromag- netic Waves and Related Problems

这项为期三年的奖励将支持美国-法国特拉华州大学波浪中心（由Ralph Kleinman指导）和法国国家科学研究中心波浪部的Dominique Lesselier（法国，Gif-sur-Yvette）之间的应用数学合作研究。参与者包括来自两国的博士后研究人员和研究生。 他们的研究目标是开发理论方面和实用的数值代码，用于检测嵌入不均匀或分层材料中的物体的大小，形状，位置和属性。 他们将数学技术应用于以下问题：（1）已知宿主介质中裂缝或其他故障的非破坏性检测;（2）埋在地表附近的目标（管道，地雷或电缆）的定位和识别;以及（3）地壳结构组成的远程测定。 拟议中的合作利用了美国和法国小组开发的互补数学技术，以及法国小组提供的实验数据。 该项目将推进理论理解，并可能导致新的计算技术，用于研究遥感和电气工程中的问题。

This three-year award will support U.S.-France cooperative research in applied mathematics between the University of Delaware's Center for Waves, directed by Ralph Kleinman, and Dominique Lesselier of the Division of Waves at the French National Center for Scientific Research, Gif-sur-Yvette, France. The participants include postdoctoral researchers and graduate students from both countries. The objective of their research is to develop theoretical aspects and practical numerical codes for the detection of the size, shape, location and properties of objects embedded in inhomogeneous or layered materials. They will apply mathematical techniques to the following problems: (1) nondestructive detection of cracks or other faults in a known host medium; (2) location and identification of objectives buried near the earth's surface (pipelines, land mines, or cables); and (3) remote determination of the composition of the structure of the earth's crust. The proposed collaboration takes advantage of complementary mathematical techniques developed by the U.S. and French groups and access to experimental data which will be supplied by the French group. The project will advance theoretical understanding and may result in new computational techniques for studying problems in remote sensing and electrical engineering.