Mathematical Sciences: Scattering in Random Media

数学科学：随机介质中的散射

• 批准号: 9003862
• 负责人: William Faris
• 金额: $ 4.98万
• 依托单位: University of Arizona
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-01 至 1992-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9003862&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Scattering; Random; Media

Professor Faris will conduct research in the mathematics of wave propagation in random media. The spectral and scattering properties of the waves will be studied. Faris' major goal is to describe the role of scattering resonances in determining the scattering properties of a random obstacle. Another goal is to understand random wave diffusion. The study of random media is of great interest in modern physics and mathematics. The idea here is that in certain types of materials the atoms are not arranged in a regular manner. In fact the materials tend to look rather chaotic. The mathematical model then is probabilistic, and one tries to find statements which are true with probability one.

法里斯教授将进行随机介质中波传播的数学研究。 将研究波的光谱和散射特性。 Faris 的主要目标是描述散射共振在确定随机障碍物的散射特性中的作用。 另一个目标是了解随机波扩散。 随机介质的研究在现代物理学和数学中引起了极大的兴趣。 这里的想法是，在某些类型的材料中，原子并不是以规则的方式排列的。 事实上，这些材料往往看起来相当混乱。 那么数学模型就是概率性的，人们试图找到概率为一的真实陈述。