预条件共轭梯度法在频域有限差分法分析二维柱体电磁散射问题中的应用

Application of Preconditioned Conjugate-Gradient Technique to the Finite-Difference Frequency-Domain Method for Analysis of the Scattering by Infinite Cylinder

本文引入预条件共轭梯度法 ,提出了结合频域有限差分法结合分析二维柱体的电磁散射问题。数值计算过程中利用Mur二阶吸收边界条件和场平均吸收条件截断网格。作为算例 ,文中分析了一无限长理想导体柱对平面电磁波的散射 ,由于使用了预条件共轭梯度法求解差分矩阵方程 ,从而减少了计算时间。数值结果表明了该方法的有效性。

The finite-difference frequency-domain method with preconditioned conjugate-gradient technique is presented for two-dimensional cylinder scattering problems. The Mur's absorbing boundary conditions (ABCs) of the second order and the ABCs based on the concept of field average are applied at the terminating boundary mesh nodes. As the verification example, the scattering by an infinite cylinder of the perfect electric conductor is analyzed. Using preconditioned conjugate-gradient technique to solve the finite-difference equations reduces the CPU times. The numerical results demonstrate its accuracy and efficiency.