高效求解任意非常规目标电磁散射的修正电场积分方程方法

Improved Electric Field Integral Equation Method for Efficiently Solving Electromagnetic Scattering from Arbitrary Irregular Targets

本文研究了一种可以高效求解任意非常规目标电磁散射的修正电场积分方程方法.借助磁场积分方程主值项的提取,加入到传统电场积分方程中,将传统的一次迭代求解过程转变成逐渐逼近真解的内外两层迭代.其外层迭代不断刷新电流,最终得到精确解.加入磁场主值项的修正电场积分方程显著降低了条件数,同时保留了原电场积分方程普适性强,可用于处理任意非常规目标的优点.对于每一外层迭代步中电流的求解,本文采用了加速矩阵矢量相乘的多层快速非均匀平面波算法,形成高效的内层迭代求解.数值结果表明,该方法在保证精度的同时,可以显著降低问题的求解时间.

Improved electric field integral equation（lEFIE） for solving electromagnetic scattering from arbitrary ilregular targets is studied in this paper.By extracting the principle value telm from the magnetic field integral equafion（MFIE） ,and then adding it to both sides of the conventional electric field integral equation（EFIE） ,a iterative IEFIE can be obtained. Double iteration pro- cesses are needed instead of conventional iteration. It can work well because the current will be continuously updated in the outer iteration process. The IEFIE drastically reduce the condition number compared to the EFIE, and still conserve the merit capable of solving arbitrary ilregular targets. For each outer iteration, the current is solved by multilevel fast inhomogeneous plane wave algorithm, which will accelerate the matrix-vector multiplication and thus making the inner iteration efficiently. Numerical results demonstrate the accuracy and efficiency of this method.