Mathematical Sciences: The Inverse Scattering Problem for Acoustic and Electro- magnetic Waves

数学科学：声波和电磁波的逆散射问题

• 批准号: 8716595
• 负责人: David Colton
• 金额: $ 15.07万
• 依托单位: University of Delaware
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-01 至 1994-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8716595&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Inverse; Scattering; Problem

This project will study the problem of determining the shape and physical properties of an object, including internal structure, from the scattering pattern of a known incident field. Numerical techniques based on the theory of nonlinear optimization complement the analytical development of this line of enquiry. Thus the mathematical treatment of problems ranging from the location of natural resources to the location and identification of tumors will be refined and implemented.

这个项目将研究确定形状的问题 物体的物理性质，包括内部 结构，从一个已知的入射场的散射图案。 基于非线性理论的数值方法 优化补充了该生产线的分析开发 的调查。 因此，数学处理的问题， 从自然资源的位置到位置， 将改进和实施肿瘤的鉴定。