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日的区域研究会议将在德克萨斯大学阿灵顿分校的校园内组织。这次为期五天的会议将以特拉华大学的大卫·科尔顿为杰出的讲师为特色，他将为传播特征值提供十个反向散射理论的讲座。科尔顿教授将根据其出版讲座的讲座来准备一份说明性专着，以便可以向整个科学界提供研究结果。反向散射问题的目标是通过在各种能量下用波探测未知对象的信息，并从散射波的测量值确定其特性。透射特征值对应于那些与散射与散射相同的能量，与介质不存在对象相同。该主题在电磁，声学，医学和其他领域具有重要的应用。当对象属性已知以及仅知道传输特征值时，会议将涵盖确定传输特征值的主题。除了数学理论之外，还将考虑一些应用程序，例如医学成像。将有大约30名参与者支持的参与者，包括知名研究人员和有兴趣的合格新移民，并且将采取特殊努力，包括包括博士后研究员，研究生，妇女，妇女，传统群体不足的群体。 拟议活动的更广泛的影响是将知名的研究人员和新移民融合到互动环境中，促进跨学科的工作和长期合作，以将妇女和少数民族包括在研究活动中，并刺激区域研究活动。 该项目由数学科学部内的基础架构和应用数学计划共同支持。