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

这个为期三年的奖项将支持由拉尔夫·克莱曼（Ralph Kleinman）领导的特拉华大学波浪研究中心与法国国家科学研究中心波浪部的多米尼克·莱塞利耶（Dominique Lesselier）在应用数学方面的合作研究。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字代码，用于检测嵌入在不均匀或分层材料中的物体的大小，形状，位置和属性。他们将应用数学技术解决以下问题：(1)对已知宿主介质中的裂缝或其他故障进行无损检测；(2)近地表埋设目标（管道、地雷或电缆）的定位和识别；(3)遥测地壳结构组成。拟议的合作利用了美国和法国小组开发的互补数学技术，并获得了法国小组将提供的实验数据。该项目将促进理论认识，并可能产生新的计算技术，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.