NSF/CBMS Regional Conference in the Mathematical Sciences -- Inverse Scattering Theory for Transmission Eigenvalues -- May 27-May 31, 2014

NSF/CBMS 数学科学区域会议 -- 传输特征值的逆散射理论 -- 2014 年 5 月 27 日至 5 月 31 日

• 批准号: 1347475
• 负责人: Tuncay Aktosun
• 金额: $ 3.8万
• 依托单位: University of Texas at Arlington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-03-01 至 2016-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1347475&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

A regional research conference during May 27-May 31, 2014 will be organized on the campus of University of Texas at Arlington. This five-day conference will feature David Colton of University of Delaware as the distinguished lecturer who will deliver ten lectures on inverse scattering theory for transmission eigenvalues. Prof. Colton will prepare an expository monograph based on his lectures for publication so that the research findings can be made available to the entire scientific community. The goal behind the inverse scattering problem is to extract information about an unknown object by probing it with waves at various energies and to determine its properties from the measurements on the scattered waves. The transmission eigenvalues correspond to those energies at which the scattering from the object is the same as the scattering as if the object is absent from the medium. The topic has important applications in electromagnetics, acoustics, medicine, and other areas. The conference will cover both the topic of determining transmission eigenvalues when the object properties are known as well as the topic of determining those properties when only the transmission eigenvalues are known. In addition to the mathematical theory, some applications will be considered such as medical imaging.There will be about 30 participants supported, including both established researchers and interested qualified newcomers, and special efforts will be made to include postdoctoral fellows, graduate students, women, and traditionally underrepresented groups. The broader impact of the proposed activity is to bring established researchers and newcomers together to an interactive environment, to promote interdisciplinary work and longtime collaborations, to include women and minorities in the research activities, and to stimulate the regional research activity. This project is jointly supported by the Infrastructure and Applied Mathematics programs within the Division of Mathematical Sciences.

2014年5月27日至5月31日期间，将在德克萨斯大学阿灵顿分校举办区域研究会议。这个为期五天的会议将功能特拉华州大学的大卫科尔顿作为杰出的讲师谁将提供十个讲座逆散射理论的传输特征值。科尔顿教授将根据他的讲座编写一本临时专著，以便出版，使研究成果可以提供给整个科学界。逆散射问题背后的目标是通过用各种能量的波探测未知物体来提取关于未知物体的信息，并通过对散射波的测量来确定其属性。透射本征值对应于这样的能量，在该能量下，来自物体的散射与物体不存在于介质中时的散射相同。该课题在电磁学、声学、医学等领域有着重要的应用。会议将涵盖确定传输本征值的主题时，对象属性是已知的，以及确定这些属性时，只有传输本征值是已知的主题。除了数学理论，还将考虑一些应用，如医学成像。将支持大约30名参与者，包括知名研究人员和感兴趣的合格新人，并特别努力包括博士后研究员，研究生，女性和传统上代表性不足的群体。 拟议活动的更广泛影响是将资深研究人员和新来者聚集在一个互动的环境中，促进跨学科工作和长期合作，将妇女和少数民族纳入研究活动，并促进区域研究活动。 该项目由数学科学部内的基础设施和应用数学计划共同支持。