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

这个项目将研究从已知入射场的散射模式确定物体的形状和物理性质，包括内部结构的问题。基于非线性最优化理论的数值技术补充了这一问题的分析发展。因此，从自然资源的位置到肿瘤的位置和识别等问题的数学处理将得到改进和实施。

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.