海上舰船目标电磁散射建模的高效算法研究

项目名称： 海上舰船目标电磁散射建模的高效算法研究

项目编号： No.61201002

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 电子学与信息系统

项目作者： 陈涌频

作者单位： 电子科技大学

项目金额： 27万元

中文摘要： 海上舰船目标电磁散射的建模分析具有重要的理论研究价值和紧迫的实际工程需求。对比空中目标，海上目标电磁散射存在超电大、随机海面背景的影响，从而使其电磁建模必须考虑目标与环境的一体化建模。本项目拟采用含半空间格林函数的积分方程方法，提取海面超电大背景对目标散射特性的基本共性影响，同时利用统计模型，分析各种复杂海况随机噪声对目标电磁特性的扰动。主要研究内容包括：(1) 发展一种"矩阵友好型"半空间格林函数，简化含该复杂格林函数的矩量法分析；(2) 针对舰船存在吃水，跨嵌海面两侧的特点，提取该格林函数的准静态项，加速索末菲积分的收敛，同时提出有效的三维格林函数插值技术，加速矩阵元的填充；(3)发展基于秩压缩技术(核无依赖)的快速算法，加速迭代方法中的矩阵矢量相乘；(4)对于随机海况的影响，利用统计模型，对均匀半空间背景下目标散射特性进行修正。基于以上理论和方法创新，实现海上舰船目标的高效电磁建模。

中文关键词： 积分方程法；半空间格林函数；快速算法；电磁散射；舰船目标

英文摘要： The electromagnetic modeling of ship targets in the ocean has great importance of theoretical value and urgency of engineering demand. Compared with the targets in the air, the electromagnetic scattering of the targets in the ocean is strongly affected by the ultra-electrically large and random ocean surface. Hence, the modeling of these targets has to consider the all-in-one effect from both targets and their environment. This project proposes to apply the integral equation method with half-space Green's function, to extract the common effect of the ultra-electrically large ocean surface. Then the perturbation of various random ocean conditions is added based on statistic models. The main content includes: (1) To develop a "matrix-friendly" half-space Green's function to simplify the moment method implementation. (2) Considering the fact that the ship targets usually straddle the air-ocean interface, we propose to extact the quasi-static term of the Green's function to accelerate the convergence of the Sommerfeld integrals. We will also develop efficient three-dimensional interpolation technique to expedite the matrix filling stage. (3) To develop a fast algorithm based on rank compression, which is kernel-independent, to accelerate the matrix-vector product in the iterative solvers. (4) To apply statistic mode

英文关键词： integral equation method；half space Green's function；fast algorithm；electromagnetic scattering；ship target