中文摘要：

为了快速模拟具有较宽频带的三维频域航空电磁响应,本文利用交错网格的有限差分方法,依据麦克斯韦方程组的离散形式推导得出关于空间电场分布的大型稀疏复线性代数方程组,再将方程实虚部分离得到关于实数的大型稀疏线性代数方程组,利用稳定的双共轭梯度法求解方程组.结果表明该方法不仅可以提高方程求解速度,而且保证方程在较低频率下解的收敛性,满足航空电磁法宽频带的要求.然后根据航空电磁法本身特点,提出迭代初值优化和双重网格迭代的方法,该方法可以提高计算速度50%左右.

英文摘要：

The 3D Staggered-grid Finite Difference Method was used in this paper to rapidly simulate the response of the Helicopter-Borne Electromagnetic（HEM） field with broadband.Based on the discrete Maxwell’s equations,a large sparse complex linear algebraic equations about the Electric component distribution in whole space was derived,which was then divided into two parts,the real and imaginary part,to get another real equations resolved by BICGStab2.The results demonstrate that this method could not only rise the velocity to resolve the large linear equations,but also has a good convergence in low frequencies compared with QMR,and such method is suitable for HEM simulation with broadband.In the end,according to the feature of HEM itself,an initial optimization method and double-grid iterative method were offered to reduce the iterative times,thus shortening about 50% of the computation time.