Abstract: Electromagnetic scattering of conducting targets located above lossy half-space is analyzed with multilevel fast multipole algorithm (MLFMA).In order to expand half space Green's functions with addition theorem,a high order approximation method is proposed for evaluation of reflection term of half-space Green's functions with far interactions.A careful investigation is presented to confirm accuracy of the Green's function analysis.Accuracy and efficiency of the proposed method is examined by several numerical applications.It demonstrates that the proposed method has merit of low memory requirement and simple operation.

Key words: MLFMA, half-space Green's functions, high order approximation, addition theorem