Efficient solutions of wave propagation problems in multi-layered, multiple scattering media

多层、多重散射介质中波传播问题的有效解决方案

• 批准号: 1614270
• 负责人: Catalin Turc
• 金额: $ 23.63万
• 依托单位: New Jersey Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-09-01 至 2021-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1614270&HistoricalAwards=false
• 关键词: Efficient; solutions; wave; propagation; problems

This award supports a continuation of the research program of the Principal Investigator on the accurate and efficient numerical modeling of wave-scattering problems in various applications settings. In this project, the Principal Investigator will develop and analyze high-performance, efficient, accurate, and rapidly-convergent algorithms for evaluation of the interaction between waves and structures that involve multiple scatterers as well as multiple layers with different material properties. The solvers to be developed are relevant to diverse applications, such as radar and remote sensing, communication devices, geophysics, and photonics.The Principal Investigator will develop a family of algorithms that will focus mainly on (1) efficient boundary integral solutions of electromagnetic and elastic scattering problems in layered media that bypass the need for cripplingly expensive evaluations of layered Green's functions and (2) Schur complement Domain Decomposition methods for efficient solutions of multiple scattering problems. The computational methodology underlying the proposed work is based on a class of numerical solvers and surface-representation and meshing methodologies developed in recent years by the Principal Investigator and his collaborators. These are boundary integral solvers that can produce solutions with high-order accuracy, and no numerical dispersion, for realistic engineering geometries including features such as full aircraft, complex photonic or electronic devices, etc. In practice, and whenever applicable, these types of solvers have demonstrated order-of-magnitude faster numerics, for a given accuracy, than some of the most competitive solvers otherwise available: the new methods can enable solution of previously intractable problems.

该奖项支持首席研究员在各种应用环境中准确有效地数值建模波散射问题的研究计划的继续。 在这个项目中，主要研究者将开发和分析高性能，高效，准确和快速收敛的算法，用于评估波和结构之间的相互作用，涉及多个散射体以及具有不同材料特性的多层。 要开发的求解器与不同的应用有关，例如雷达和遥感、通信设备、电子物理学，首席研究员将开发一系列算法，主要集中在（1）分层介质中电磁和弹性散射问题的有效边界积分解决方案，绕过了对分层绿色函数的昂贵评估，以及（2）Schur互补区域分解法求解多重散射问题。 计算方法的基础上提出的工作是基于一类的数值求解器和表面表示和网格化方法，近年来开发的主要研究者和他的合作者。 这些是边界积分求解器，可以产生具有高阶精度的解决方案，并且没有数值色散，用于现实的工程几何形状，包括完整的飞机，复杂的光子或电子设备等。在实践中，只要适用，这些类型的求解器已经证明了数量级更快的数值，对于给定的精度，比一些最具竞争力的求解器，否则可用：这些新方法能够解决以前难以解决的问题。