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

这项为期三年的奖项将支持特拉华大学海浪中心(由Ralph Kleinman指导)和法国国家科学研究中心(法国吉夫苏尔-伊维特)海浪分部的Dominique Lesselier在应用数学方面的美法合作研究。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，用于检测嵌入非均匀或层状材料中的物体的大小、形状、位置和特性。他们将把数学技术应用于下列问题：(1)对已知宿主介质中的裂缝或其他断层进行无损检测；(2)定位和识别埋藏在地球表面附近的目标(管道、地雷或电缆)；以及(3)远程确定地壳结构的组成。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，以及将由法国小组提供的实验数据。该项目将促进对理论的理解，并可能为研究遥感和电气工程问题带来新的计算技术。

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.