New regularisation techniques in electromagnetic diffraction from cavities and related complex scatterers

现代技术，如雷达和其他成像设备，利用电磁波所携带的信息。新技术主要依赖于波数学的进步，以提供精确、可靠和有效的方法来预测物体如何在散射环境中捕获和重新辐射波能。本项目旨在开发一种新的数学方法来研究具有复杂散射机制的物体，如空腔结构的波散射。这个新公式是通过对描述散射过程的方程进行解析正则化得到的。它生成的算法比目前的代码更可靠，计算更精确。

Modern technology, such as radar and other imaging devices, exploits the information carried by electromagnetic waves. New technology depends centrally upon advances in the mathematics of waves to give precise, reliable and effective means of predicting how objects capture and re-radiate wave energy in the scattering environment. This project aims to develop a new mathematical approach to wave scattering by objects with complex scattering mechanisms, as typified by cavity structures. This new formulation is obtained by a process of analytical regularisation of the equations describing the scattering process. It generates algorithms more reliable and computationally accurate than current codes.