海面散射复镜像算法的研究

Research on the complex image method of scattering from sea

针对海洋背景下目标电磁散射问题,分析了离散复镜像法(Discrete Complex Image Method,DCIM)计算半空间问题索末菲积分时复镜像数目的选择方案,以提高后续矩量法(Method of Moment,MoM)的求解效率.文中应用多级路径DCIM保证了计算精度和鲁棒性,同时根据海洋的介电特性,给出了一定空域距离和介电参数条件下,以相同精度计算三个典型索末菲积分需要复镜像数目的最小值,从而使阻抗矩阵的填充时间最小.数值结果证明了所给方案对MoM效率的提升.

To study the electromagnetic scattering of targets with the background of ocean, the pro- gram to choose the number of complex images when calculate Sommerfeld Integrals of the half-space prob- lem with discrete complex image method （DCIM） applied is analyzed, which increases the efficiency of the subsequent Method of Moment （MoM）. Multi-level DCIM is employed in the paper to get higher accuracy and robustness, and then in definite spatial-domain range and dielectric parameters, the minimum numbers of complex images to calculate the three typical kinds of Sommerfeld Integrals with same precision are presented. Therefore, the time for filling impedance matrix is minimized. It is shown that the reduction of complex images leads to an efficient MoM solution.