Fast Solution of Scattering from Conducting Structures by Local MLFMA Based on Improved Electric Field Integral Equation

In this paper local multilevel fast multipole algorithm(LMLFMA) based on a novel improved electric field integral equation (IEFIE) is developed to achieve fast and efficient solution of electromagnetic scattering from 3D conducting structures. A well-conditioned matrix is constructed in the IEFIE by adding the principle value term of magnetic field integral equation (MFIE) operator into traditional EFIE operator. Only several update steps for the current vector are required to attain a reasonable solution. To further speed up the computation of matrix-vector multiplications in the iteration, LMLFMA is applied. The present method attains much faster convergence of iteration than traditional EFIE and less computational complexity of matrix-vector multiplications than MLFMA, and it still keeps good accuracy. Numerical results show the validity and efficiency of the present method.